#96,339

Most Influential Person

Romanian mathematician

According to Wikipedia, Florian Luca is a Romanian mathematician who specializes in number theory with emphasis on Diophantine equations, linear recurrences and the distribution of values of arithmetic functions. He has made notable contributions to the proof that irrational automatic numbers are transcendental and the proof of a conjecture of Erdős on the intersection of the Euler Totient function and the sum of divisors function.

- On the equation x2+2a⋅3b=yn (2002) (157)
- On a conjecture about repdigits in k-generalized Fibonacci sequences (2013) (78)
- Analytic Number Theory: Exploring the Anatomy of Integers (2012) (75)
- Fibonacci and Lucas numbers with only one distinct digit. (2000) (74)
- 17 lectures on Fermat numbers : from number theory to geometry (2001) (67)
- Powers of Two in Generalized Fibonacci Sequences (2012) (56)
- Linear combinations of factorials and $$S$$S-units in a binary recurrence sequence (2014) (49)
- Generalized balancing numbers (2009) (48)
- Powers of two as sums of two k-Fibonacci numbers (2014) (41)
- Fibonacci numbers at most one away from a perfect power (2008) (36)
- 17 Lectures on Fermat Numbers (2001) (35)
- On some problems of Mąkowski-Schinzel and Erdős concerning the arithmetical functions ϕ and σ (2002) (35)
- Irreducible radical extensions and Euler-function chains (2007) (33)
- Character sums and congruences with n (2004) (32)
- A generalization of a classical zero-sum problem (2007) (31)
- Coincidences in generalized Fibonacci sequences (2013) (31)
- MOV attack in various subgroups on elliptic curves (2004) (30)
- Perfect fibonacci and lucas numbers (2000) (30)
- Values of the Euler Φ-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields (2014) (27)
- Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers (2013) (27)
- Elliptic Curves with Low Embedding Degree (2006) (26)
- Pell and Pell-Lucas numbers with only one distinct digit (2015) (25)
- DIOPHANTINE TRIPLES WITH VALUES IN BINARY RECURRENCES (2008) (25)
- Fibonacci Diophantine triples (2008) (24)
- An exponential Diophantine equation related to powers of two consecutive Fibonacci numbers (2011) (24)
- Heron Triangles with Two Fixed Sides (2006) (24)
- Distinct digits in base b expansions of linear recurrence sequences (2000) (24)
- Prime Chains and Pratt Trees (2009) (24)
- Repdigits as sums of three Fibonacci numbers (2012) (23)
- Fibonacci Numbers with the Lehmer Property (2007) (23)
- On The diophantine equation Fn+Fm=2a (2016) (23)
- Rational products of singular moduli (2014) (23)
- On the largest prime factor of (ab+1)(ac+1)(bc+1) (2003) (22)
- Diophantine equations with products of consecutive terms in Lucas sequences (2005) (21)
- On the exponent of the group of points on elliptic curves in extension fields (2005) (21)
- Common values of the arithmetic functions ϕ and σ (2010) (21)
- On the Convergence of Series of Reciprocals of Primes Related to the Fermat Numbers (2002) (21)
- On numbers n dividing the nth term of a linear recurrence (2012) (20)
- Composite Integers n for Which ϕ(n)|n – 1 (2007) (20)
- Fibonacci numbers which are concatenations of two repdigits (2019) (20)
- Almost powers in the Lucas sequence (2008) (20)
- INTEGERS : ELECTRONIC JOURNAL OF COMBINATORIAL NUMBER THEORY 8 ( 2008 ) , # A 06 ON TOTIENT ABUNDANT NUMBERS (2008) (20)
- Products of Factorials in Binary Recurrence Sequences (1999) (19)
- On the $x$-coordinates of Pell equations which are Fibonacci numbers (2018) (19)
- The maximum of the degree of nonholonomy for the car with n trailers (1994) (19)
- Exponential sums and congruences with factorials (2004) (19)
- Non-Holonomicity of Sequences Defined via Elementary Functions (2006) (19)
- The Diophantine equation P(x) = n! and a result of M. Overholt (2002) (18)
- On $X$-coordinates of Pell equations which are repdigits (2016) (18)
- Perfect powers from products of terms in Lucas sequences (2007) (18)
- Every positive integer is a sum of three palindromes (2018) (18)
- On Fibonacci numbers with few prime divisors (2005) (18)
- On factorials expressible as sums of at most three Fibonacci numbers (2010) (17)
- Some Mean Values Related to Average Multiplicative Orders of Elements in Finite Fields (2005) (17)
- On perfect powers that are sums of two Fibonacci numbers (2018) (17)
- Powers of Two as Sums of Two Lucas Numbers (2014) (17)
- Average order in cyclic groups (2004) (17)
- On Pillai's Diophantine equation. (2006) (17)
- Functional graphs of polynomials over finite fields (2016) (17)
- Quotients of Fibonacci Numbers (2016) (17)
- Sums of Factorials in Binary Recurrence Sequences (2002) (17)
- On the $X$-coordinates of Pell equations which are Tribonacci numbers (2016) (17)
- Palindromes in Lucas Sequences (2003) (17)
- On the average number of divisors of the Euler function (2007) (16)
- On the proportion of numbers coprime to a given integer (2008) (16)
- On a problem of Pillai with Fibonacci numbers and powers of 2 (2017) (16)
- Fibonacci Numbers of the Form k2+k+2 (1999) (16)
- ON THE DIOPHANTINE EQUATION x2 + 2a · 5b = yn (2008) (16)
- The Distribution of Self-Fibonacci Divisors (2015) (16)
- On factorials which are products of factorials (2007) (16)
- ON THE LARGEST PRIME FACTOR OF THE k-FIBONACCI NUMBERS (2012) (15)
- ON THE DIOPHANTINE EQUATION x2 + C = 2yn (2009) (15)
- Distribution of residues modulo p (2007) (15)
- Average multiplicative orders of elements modulo n (2003) (15)
- Squares in Lehmer sequences and some Diophantine applications (2001) (15)
- On the number of isogeny classes of pairing-friendly elliptic curves and statistics of MNT curves (2012) (15)
- Fibonacci numbers which are sums of three factorials (2010) (15)
- ON THE EQUATION x 2 + 2 a · 3 b = y n (2002) (15)
- Divisibility of Class Numbers: Enumerative Approach (2004) (15)
- On the lower bound of the linear complexity over F/sub p/ of Sidelnikov sequences (2006) (14)
- Anatomy of Integers (2008) (14)
- On the radical of a perfect number (2010) (14)
- Uniform Distribution of Fractional Parts Related to Pseudoprimes (2009) (14)
- Repdigits as sums of four Pell numbers (2019) (14)
- Repdigits as sums of three Pell numbers (2018) (14)
- Diophantine m-tuples for primes (2005) (14)
- Catalan and Apéry numbers in residue classes (2006) (14)
- On an diophantine equation (2000) (14)
- ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn (2008) (14)
- Power values of palindromes (2009) (13)
- Some additive combinatorics problems in matrix rings (2009) (13)
- A quantitative lower bound for the greatest prime factor of $(ab+1)(bc+1)(ca+1)$ (2004) (13)
- An exponential Diophantine equation related to the sum of powers of two consecutive k-generalized Fibonacci numbers (2014) (13)
- Lucas Diophantine Triples (2009) (13)
- The product of like-indexed terms in binary recurrences (Diophantine Problems and Analytic Number Theory) (2002) (13)
- On the x–coordinates of Pell equations which are k–generalized Fibonacci numbers (2018) (13)
- Perfect Cuboids and Perfect Square Triangles (2000) (13)
- On a problem of Diophantus with polynomials (2007) (13)
- Composition Factors from the Table of Marks (2001) (13)
- The negative Pell equation and Pythagorean triples (2000) (13)
- On a problem of Pillai with k–generalized Fibonacci numbers and powers of 2 (2018) (13)
- Cullen Numbers with the Lehmer Property (2011) (12)
- ON PILLAI'S PROBLEM WITH TRIBONACCI NUMBERS AND POWERS OF 2 (2017) (12)
- A note on odd perfect numbers (2011) (12)
- On an arithmetic function considered by Pillai (2009) (12)
- MEMBERS OF LUCAS SEQUENCES WHOSE EULER FUNCTION IS A POWER OF 2 (2014) (12)
- On the Greatest Common Divisor of u − 1 and v − 1 with u and v Near ${\cal S}$-units (2005) (12)
- Fibonacci Numbers which are Products of two Pell Numbers (2017) (12)
- On a diophantine equation related to a conjecture of Erdös and Graham (2007) (12)
- Prime Divisors of Shifted Factorials (2005) (12)
- On Giuga numbers (2009) (12)
- On binary palindromes of the form 10n±1⁎ (2008) (12)
- Repdigits as sums of two $$k$$k-Fibonacci numbers (2015) (12)
- $p$-adic quotient sets (2016) (12)
- ON STABLE QUADRATIC POLYNOMIALS (2012) (11)
- On the Exponential Local-Global Principle (2013) (11)
- On the x-coordinates of Pell equations which are Fibonacci numbers II (2017) (11)
- Fibonacci numbers that are not sums of two prime powers (2005) (11)
- On the largest prime factor of the mersenne numbers (2007) (11)
- Small exponent point groups on elliptic curves (2006) (11)
- The diophantine equation x 2 = p a p b + 1 (2004) (11)
- Palindromes in linear recurrence sequences (2013) (11)
- On shifted primes with large prime factors and their products (2013) (11)
- Fibonacci numbers of the form p a ± p b (2009) (11)
- Multiperfect numbers with identical digits (2011) (11)
- Coincidences in the values of the Euler and Carmichael functions (2006) (11)
- On the Value Set of n! Modulo a Prime (2005) (11)
- Irreducible components and isomorphisms of the Burnside ring (2008) (11)
- On the largest prime factor of x2-1 (2011) (11)
- On a variant of Giuga numbers (2011) (10)
- Arithmetic properties of positive integers with fixed digit sum (2006) (10)
- Repunit Lehmer numbers (2010) (10)
- On the maximal order of numbers in the (2005) (10)
- Integer Roots Chromatic Polynomials of Non-Chordal Graphs and the Prouhet-Tarry-Escott Problem (2005) (10)
- Some Diophantine equations from finite group theory: $\Phi_m (x) = 2p^n -1$ (2009) (10)
- Quadratic Non-Residues Versus Primitive Roots Modulo p (2008) (10)
- Discriminants of Complex Multiplication Fields of Elliptic Curves over Finite Fields (2007) (10)
- On the Number of Factorizations of an Integer (2011) (10)
- The range of the sum-of-proper-divisors function (2015) (10)
- The average Smarandache function (2001) (10)
- A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS FOR PURE POWERS (2008) (10)
- Some results on Oppenheim's ``Factorisatio Numerorum'' function (2010) (10)
- Euler indicators of binary recurrence sequences (2002) (10)
- Repdigits in k-Lucas sequences (2014) (10)
- There are No Multiply-Perfect Fibonacci Numbers (2011) (10)
- On some conjectures on the monotonicity of some combinatorial sequences (2012) (9)
- Pell and Pell–Lucas Numbers as Sums of Two Repdigits (2019) (9)
- On the greatest common divisor of two Cullen numbers (2003) (9)
- ON THE GALOIS GROUP OF THE GENERALIZED FIBONACCI POLYNOMIAL (2001) (9)
- Equations with arithmetic functions of Pell numbers (2014) (9)
- PSEUDOPRIME CULLEN AND WOODALL NUMBERS (2007) (9)
- Equations Involving Arithmetic Functions of Factorials (2000) (9)
- Fermat Primes and Heron Triangles with Prime Power Sides (2003) (9)
- On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^x+b^y=(m^2+1)^z$ (2012) (9)
- On the diophantine equation x 2 + 2 α 5 β 13 γ = y n (2008) (9)
- Repdigits as Sums of Four Fibonacci or Lucas Numbers (2018) (9)
- Diophantine equations with products of consecutive terms in Lucas sequences II (2008) (9)
- On a question of G. Kuba (2000) (9)
- On integrality and periodicity of the Motzkin numbers (2005) (9)
- Values of the Euler Function in Various Sequences (2005) (9)
- An explicit bound for the number of partitions into roots (2016) (8)
- On Pillai’s problem with the Fibonacci and Pell sequences (2018) (8)
- Uniform distribution of the fractional part of the average prime divisor (2005) (8)
- On certain sums concerning the gcd’s and lcm’s of k positive integers (2019) (8)
- On the largest prime factor of the ratio of two generalized Fibonacci numbers (2015) (8)
- On quadratic fields generated by polynomials (2008) (8)
- The rth Moment of the Divisor Function: An Elementary Approach (2017) (8)
- On the counting function of irregular primes (2015) (8)
- Products of factorials modulo $p$ (2001) (8)
- Cyclotomic coefficients: gaps and jumps (2015) (8)
- Lucas numbers as sums of two repdigits (2019) (8)
- The Number of Non-Zero Digits of n! (2002) (8)
- On f(n) modulo Ω(n) and ω(n) when f is a polynomial (2004) (8)
- Compositions of n Satisfying Some Coprimality Conditions (2012) (8)
- Irrationality of Power Series for Various Number Theoretic Functions (2005) (8)
- Polynomial values of sums of products of consecutive integers (2018) (8)
- On the diophantine equation x2 + 2a · 3b · 11c = yn (2013) (8)
- Representing integers as linear combinations of $S$-units (2009) (8)
- Infinite families of noncototients (2000) (8)
- Arithmetic properties of members of a binary recurrent sequence (2003) (7)
- On the distribution of some means concerning the Euler function. (2008) (7)
- Linear independence of certain Lambert series (2014) (7)
- On Integers for Which the Sum of Divisors is the Square of the Squarefree Core (2012) (7)
- SETS WITH PRESCRIBED ARITHMETIC DENSITIES (2008) (7)
- On the Diophantine Equation x 2 + 2 α 5 β 13 γ = yn (2008) (7)
- Power of Two as sums of Three Pell Numbers (2016) (7)
- Values of arithmetical functions equal to a sum of two squares (2005) (7)
- On the binary expansion of the odd Catalan numbers (2010) (7)
- Algebraic independence of infinite products generated by Fibonacci and Lucas numbers (2014) (7)
- On the prime power factorization of n (2003) (7)
- On the period of the continued fraction expansion of √22n+1 + 1 (2005) (7)
- The image of Carmichael’s λ-function (2014) (7)
- On Pillai's problem with Pell numbers and powers of 2 (2019) (7)
- Control of coupled parabolic systems and Diophantine approximations (2013) (7)
- Repdigits as sums of three Lucas numbers (2019) (7)
- On the $g$-ary expansions of middle binomial coefficients and Catalan numbers (2011) (7)
- COMBINATORIAL DIOPHANTINE EQUATIONS AND A REFINEMENT OF A THEOREM ON SEPARATED VARIABLES EQUATIONS (2012) (7)
- On the Diophantine equation $x^2 + 2^{\alpha} 13^{\beta}=y^{n}$ (2009) (7)
- Two Diophantine approaches to the irreducibility of certain trinomials (2007) (7)
- Tribonacci Diophantine quadruples (2015) (7)
- On the largest prime factor of n! + 2 n 1 (2005) (7)
- Acknowledgment of priority: “On some problems of Mąkowski–Schinzel and Erdős concerning the arithmetical functions $\phi$ and $\sigma$” (Colloq. Math. 92 (2002), 111–130) (2012) (7)
- X-coordinates of Pell equations as sums of two tribonacci numbers (2018) (7)
- EXPONENTS OF CLASS GROUPS OF REAL QUADRATIC FIELDS (2008) (7)
- On the spacings between C-nomial coefficients (2010) (7)
- Recurrence relations for polynomials obtained by arithmetic functions (2019) (7)
- A Diophantine equation in $k$-Fibonacci numbers and repdigits (2018) (7)
- Exponential sums with Catalan numbers and middle binomial coefficients (2007) (7)
- Power Totients with Almost Primes (2011) (6)
- The zero-multiplicity of third-order linear recurrences associated to the Tribonacci sequence (2014) (6)
- Concatenations with Binary Recurrent Sequences (2005) (6)
- Arithmetic properties of the Ramanujan function (2006) (6)
- Coincidences in generalized Lucas sequences (2014) (6)
- On the Counting Function of Elliptic Carmichael Numbers (2014) (6)
- On the values of the divisor function (2007) (6)
- On the Euler function of repdigits (2008) (6)
- On the X-coordinates of Pell equations which are products of two Fibonacci numbers (2019) (6)
- On the problem of Pillai with k-generalized Fibonacci numbers and powers of 3 (2020) (6)
- Pseudoprime values of the Fibonacci sequence, polynomials and the Euler function (2006) (6)
- An arithmetic function arising from Carmichael’s conjecture (2011) (6)
- Character sums and products of factorials modulo $p$ (2005) (6)
- The Anti-Social Fermat Number (2000) (6)
- Arithmetic functions with linear recurrence sequences (2007) (6)
- On the Lower Bound of the Linear Complexity Over of (2006) (6)
- Primitive Root Bias for Twin Primes (2019) (6)
- Diophantine equations involving some classical counting functions (2013) (6)
- Fibonacci factoriangular numbers (2017) (6)
- Visual properties of generalized Kloosterman sums (2015) (6)
- Integers Divisible by the Sum of their Prime Factors (2005) (6)
- On the fixed points of the map $x \mapsto x^x$ modulo a prime, II (2015) (6)
- Arithmetic properties of φ(n)/λ(n) and the structure of the multiplicative group modulo n (2006) (6)
- On squares in polynomial products (2010) (6)
- x-Coordinates of Pell equations which are Tribonacci numbers II (2019) (6)
- ON GROUPS WITH PERFECT ORDER SUBSETS (2012) (6)
- Prime divisors of binary holonomic sequences (2008) (6)
- On arithmetic lattices in the plane (2016) (6)
- ON THE DIVERGENCE OF THE SMARANDACHE HARMONIC SERIES (1999) (6)
- On a Conjecture Regarding Balancing with Powers of Fibonacci Numbers (2012) (6)
- On digit sums of multiples of an integer (2009) (6)
- On the diophantine equation x(2) + C=2y(n) (2009) (6)
- X-coordinates of Pell equations which are Lucas numbers (2018) (6)
- On cyclotomic factors of polynomials related to modular forms (2019) (6)
- The divisor problem for d4 (n) in short intervals (2006) (6)
- Cullen Numbers in Binary Recurrent Sequences (2004) (6)
- On the g-Ary Expansions of Apéry, Motzkin, Schröder and Other Combinatorial Numbers (2010) (5)
- Pseudoprime reductions of elliptic curves (2009) (5)
- Only finitely many Tribonacci Diophantine triples exist (2015) (5)
- On the difference in values of the Euler totient function near prime arguments (2018) (5)
- Diophantine quadruples in the sequence of shifted Tribonacci numbers (2015) (5)
- On shifted products which are powers (2005) (5)
- On Cullen numbers which are both Riesel and Sierpiński numbers (2012) (5)
- Integers divisible by sums of powers of their prime factors (2008) (5)
- On finite fields for pairing based cryptography (2007) (5)
- On the local behavior of the order of appearance in the Fibonacci sequence (2014) (5)
- On the least common multiple of Lucas subsequences (2013) (5)
- Diophantine triples of Fibonacci numbers (2016) (5)
- On the range of Carmichael's universal-exponent function (2014) (5)
- On the Distribution of Perfect Totients (2006) (5)
- A Remark on Prime Divisors of Lengths of Sides of Heron Triangles (2003) (5)
- On composite integers n for which '(n) j n 1 (2009) (5)
- On the Middle Prime Factor of an Integer (2013) (5)
- Sierpinski and Carmichael numbers (2014) (5)
- On a generalization of the Pell sequence (2020) (5)
- On the diophantine equation px1 − px2 = qy1 − qy2 (2003) (5)
- Diophantine Triples and k-Generalized Fibonacci Sequences (2016) (5)
- Zeckendorf representations with at most two terms to x-coordinates of Pell equations (2019) (5)
- on the value set of the Carmichael λ-function (2007) (5)
- On the sum of digits of some sequences of integers (2012) (5)
- Multiplicative Independence in k-Generalized Fibonacci Sequences (2016) (5)
- On quadratic fields generated by the Shanks sequence (2009) (5)
- On numbers n for which the prime factors of σ(n) are among the prime factors of n (2004) (5)
- Class groups of quadratic fields of 3-rank at least 2: Effective bounds (2008) (5)
- ON A DIOPHANTINE EQUATION OF CASSELS (2005) (5)
- On strings of consecutive integers with a distinct number of prime factors (2008) (5)
- FIBONACCI-RIESEL AND FIBONACCI-SIERPI ¶ NSKI NUMBERS (1962) (5)
- An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers (2019) (5)
- Rectangles Of Nonvisible Lattice Points (2015) (5)
- Two divisors of $(n^2+1)/2$ summing up to $n+1$ (2007) (5)
- On the exact degree of Q (2010) (5)
- On the sum of the first $n$ values of the Euler function (2014) (5)
- On the typical size and cancellations among the coefficients of some modular forms (2018) (5)
- Diophantine Approximations and a Problem from the 1988 IMO (2006) (5)
- Short interval asymptotics for a class of arithmetic functions (2006) (5)
- Galois Groups of Polynomials Arising from Circulant Matrices (2008) (5)
- Integers without divisors from a fixed arithmetic progression (2006) (5)
- On the exponential Diophantine equation Pxn+Pxn+1=Pm (2019) (4)
- On the Euler Function of Fibonacci Numbers (2009) (4)
- On members of Lucas sequences which are products of factorials (2019) (4)
- On the zero–multiplicity of a fifth-order linear recurrence (2019) (4)
- On the Diophantine equation 2m+nx2=yn (2012) (4)
- On the Diophantine Equation $x^4-q^4 = py^3$ (2010) (4)
- On the Fixed Points of the Map x -> x^x Modulo a Prime (2014) (4)
- Uniformity of distribution modulo 1 of the geometric mean prime divisor (2006) (4)
- On the distance between generalized Fibonacci numbers (2015) (4)
- On the number of nonquadratic residues which are not primitive roots (2004) (4)
- On a problem of Nicol and Zhang (2008) (4)
- Power of Two--Classes in k--Generalized Fibonacci Sequences (2014) (4)
- ON VALUES OF d(n!)/m!, ϕ(n!)/m! AND σ(n!)/m! (2010) (4)
- On the Equation $y^x\pm x^y=z^2$ (2000) (4)
- On the Fürstenberg closure of a class of binary recurrences (2010) (4)
- Sums of prime divisors and Mersenne numbers (2007) (4)
- Counting dihedral and quaternionic extensions (2011) (4)
- Residue classes having tardy totients (2008) (4)
- On a conjecture of Mąkowski and Schinzel concerning the composition of the arithmetic functions σ and ϕ (2000) (4)
- On the equation $x^2+dy^2=F_n$ (2007) (4)
- Products of factorials in Smarandache type expressions (1997) (4)
- On the sumset of the primes and a linear recurrence (2013) (4)
- On a compositeness test for (2 p + 1)/3 (2010) (4)
- On the moments of the Carmichael λ function (2006) (4)
- Multiperfect numbers on lines of the Pascal triangle (2009) (4)
- Waring problem with factorials (2005) (4)
- Trinomials with given roots (2019) (4)
- On the values of a class of analytic functions at algebraic points (2008) (4)
- ON THE EQUATION (5 m - 1) = 5 n - 1 (2015) (4)
- On a Divisibility Property Involving Factorials (2000) (4)
- Distribution of harmonic sums and Bernoulli polynomials modulo a prime (2006) (4)
- Total multiplicity of the Tribonacci sequence (2020) (4)
- LINEAR INDEPENDENCE OF POWERS OF SINGULAR MODULI OF DEGREE THREE (2018) (4)
- On the Diophantine equation x^2+2^a.3^b.11^c=y^n (2012) (4)
- THE MULTIPLICATIVE GROUP GENERATED BY THE LEHMER NUMBERS (2010) (4)
- Irreducible Components of the Burnside Ring (2005) (4)
- On the Complexity of Testing Elite Primes (2011) (4)
- Common factors of shifted Fibonacci numbers (2003) (4)
- On the length of arithmetic progressions in linear combinations of S-units (2010) (4)
- Prime factors of a f (n) − 1 with an irreducible polynomial f (x) (2006) (4)
- On the diophantine equation ²=4^{}-4ⁿ+1 (2002) (4)
- Remarks on a Sequence of Minimal Niven Numbers (2007) (4)
- PRIME DIVISORS OF LUCAS SEQUENCES AND A CONJECTURE OF SKAŁBA (2005) (4)
- Diversity in Parametric Families of Number Fields (2017) (4)
- Primitive root biases for prime pairs I: existence and non-totality of biases (2017) (4)
- On the Diophantine equation $F_n^x+F_{n+1}^x=F_m^y$ (2015) (4)
- Prime factors of Motzkin numbers (2006) (4)
- On the sum of two divisors of (n2 + 1)/2 (2012) (3)
- On some arithmetic properties of polynomial expressions involving Stirling numbers of the second kind (2003) (3)
- On Positivity and Minimality for Second-Order Holonomic Sequences (2021) (3)
- Collinear CM-points (2015) (3)
- On the local behavior of the Carmichael λ-functions (2006) (3)
- Sylvester's Theorem and the Non-integrality of a certain Binomial Sum (2015) (3)
- Linear combinations of prime powers in X-coordinates of Pell equations (2020) (3)
- Product of Consecutive Tribonacci Numbers With Only One Distinct Digit (2019) (3)
- Arithmetic properties of Apéry numbers (2008) (3)
- Perfect repdigits (2013) (3)
- On the formula Fp = u2 + pv2 (2015) (3)
- On the formula Fp = u2 + pv2 (2015) (3)
- On the solutions of the congruence ²≡1(²()) (2001) (3)
- On the sum of divisors of the Mersenne numbers (2003) (3)
- On the number of nonzero digits of the partition function (2012) (3)
- A note on the number of $S$-Diophantine quadruples (2014) (3)
- A Generalization of a Theorem of Cohn on the Equation $x^3-Ny^2=\pm1$ (2001) (3)
- The distribution of integers n divisible by lω(n) (2004) (3)
- On positive integers n such that Phi(1)+Phi(2)+... +Phi(n) is a square (2008) (3)
- IRRATIONALITY OF LAMBERT SERIES ASSOCIATED WITH A PERIODIC SEQUENCE (2014) (3)
- On the positive integral solutions of the Diophantine equation . (2008) (3)
- Estimates for Wieferich numbers (2007) (3)
- Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function (2019) (3)
- On the degree of compositum of two number fields (2013) (3)
- Squares and factorials in products of factorials (2014) (3)
- ON SUMS OF FIBONACCI NUMBERS MODULO p (2011) (3)
- TWISTED EXTENSIONS OF THE CUBIC CASE OF FERMAT’S LAST THEOREM (2010) (3)
- Repdigits as Euler functions of Lucas numbers (2016) (3)
- ON THE RANGE OF THE ITERATED EULER FUNCTION (2008) (3)
- Pell numbers with the Lehmer property (2015) (3)
- Integers representable as the sum of powers of their prime factors (2005) (3)
- On the Diophantine Equation x 2 +2 alpha 5 beta 13 gamma =y n . (2008) (3)
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- A note on the Diophantine Equation x^2-kxy+ky^2+ly=0 (2021) (0)
- The number of solutions of lambda(x)=n (2010) (0)
- Corrigendum to “Cullen numbers with the Lehmer property” (2011) (0)
- On Factorizations of Escalator Numbers (2007) (0)
- The Maximum of the Degree ofNonholonomy for the Car withn TrailersFlorian (1994) (0)
- The Maximum of the Degree ofNonholonomy for the Car withn TrailersFlorian (1994) (0)
- Prime factors of af ( n ) − 1 with an irreducible polynomial f ( x ) Christian Ballot and (2006) (0)
- On a recursively defined sequence involving the prime counting function (2020) (0)
- The Number Of Permutations Which Form Arithmetic Progressions Modulo m (2014) (0)
- Fermat Number Transform and Other Applications (2002) (0)
- Small Fields with Large Class Groups (2020) (0)
- A Note on r-Full Numbers of the Form lm + k (2000) (0)
- Euclidean Construction of the Regular Heptadecagon (2002) (0)
- Powers of Rational Matrices (2021) (0)
- VSH and multiplicative modular relations between small primes with polynomial exponents (2014) (0)
- Positive Integers n Such That σ(φ(n)) = σ(n) (2008) (0)
- Proceedings of the Fourteenth International Conference on Fibonacci Numbers and Their Applications (2011) (0)
- The Diophantine Equation Fny + Fn+1x = Fmx (2013) (0)
- The zero-multiplicity of Berstel type sequences (2019) (0)
- Equations Involving Arithmetic Functions of Factorials Ecuaciones (2000) (0)
- On the largest prime factor of the partition function of n (2012) (0)
- Perfect powers in solutions to Pell equations (2009) (0)
- On a divisibility problem (2018) (0)
- On numbers not of the form <Emphasis Type=”Italic”>n</Emphasis>-ω(<Emphasis Type=”Italic”>n</Emphasis>) (2005) (0)
- Duplications in the k-generalized Fibonacci sequences (2021) (0)
- Primality of Fermat Numbers (2002) (0)
- ON A CONJECTURE OF ERDÖS AND GRAHAM 289 (2007) (0)
- On Petersson’s partition limit formula (2020) (0)
- Pseudoprime Reductions of Elliptic Curves – CORRIGENDUM (2012) (0)
- Squares and factorials in products of factorials F (2013) (0)
- On the Pillai-Tijdeman Diophantine equation involving terms of Lucas sequences (2021) (0)
- 107 Average order in cyclic groups par (0)
- Erratum to: On the length of arithmetic progressions in linear combinations of S-units (2014) (0)
- Basic Properties of Fermat Numbers (2002) (0)
- WHEN THE SUM OF ALIQUOTS DIVIDES THE TOTIENT (2007) (0)
- A VARIANT ON THE NOTION OF A DIOPHANTINE s-TUPLE (2009) (0)
- Two b–repunits in the Fibonacci sequence (2021) (0)
- On Fibonacci numbers which are elliptic Carmichael (2016) (0)
- SOLUTIONS OF THE DIOPHANTINE EQUATION xy+yz+zx=n! (2008) (0)
- On the Diophantine equation f(n)=u!+v!, (2013) (0)
- Program of the first international conference "Smarandache Type Notions in Number Theory" (2000) (0)
- Average order in cyclic groups par (2002) (0)
- The conjecture and some of its applications (2012) (0)

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