Zhi-wei Sun
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Mathematics
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(Suggest an Edit or Addition)Zhi-wei Sun's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Super congruences and Euler numbers (2010) (141)
- Fibonacci numbers and Fermat's last theorem (1992) (118)
- New congruences for central binomial coefficients (2008) (115)
- On congruences related to central binomial coefficients (2009) (106)
- Binomial coefficients, Catalan numbers and Lucas quotients (2009) (83)
- Open Conjectures on Congruences (2009) (81)
- On sums of Ap\'ery polynomials and related congruences (2011) (76)
- ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS (2007) (74)
- On sums involving products of three binomial coefficients (2010) (68)
- List of conjectural series for powers of $\pi$ and other constants (2011) (67)
- Congruences involving generalized central trinomial coefficients (2010) (65)
- A combinatorial identity with application to Catalan numbers (2005) (62)
- New identities involving Bernoulli and Euler polynomials (2004) (59)
- A new series for $\pi^3$ and related congruences (2010) (56)
- Combinatorial identities in dual sequences (2003) (54)
- Supercongruences involving products of two binomial coefficients (2010) (51)
- An extension of Lucas’ theorem (2001) (47)
- On Delannoy numbers and Schr\"oder numbers (2010) (47)
- Covering the integers by arithmetic sequences. II (1996) (45)
- COMBINATORIAL CONGRUENCES MODULO PRIME POWERS (2005) (44)
- Conjectures involving arithmetical sequences (2012) (43)
- Congruences for Franel numbers (2011) (43)
- Israel J. Math. 128(2002), 135–156. ON THE SUM ∑ k≡r (mod m) n k AND RELATED CONGRUENCES (2004) (42)
- Unification of zero-sum problems, subset sums and covers of ℤ (2003) (41)
- Arithmetic theory of harmonic numbers (II) (2009) (41)
- Conjectures and results on $x^2$ mod $p^2$ with $4p=x^2+dy^2$ (2011) (41)
- A refinement of a congruence result by van Hamme and Mortenson (2010) (40)
- SOME IDENTITIES FOR BERNOULLI (2004) (37)
- Values of Bernoulli polynomials (1996) (36)
- NEW SERIES FOR SOME SPECIAL VALUES OF L-FUNCTIONS (2010) (35)
- On some determinants with Legendre symbol entries (2013) (34)
- Mixed sums of squares and triangular numbers (2005) (33)
- Products and Sums Divisible by Central Binomial Coefficients (2010) (33)
- On universal sums of polygonal numbers (2009) (33)
- On weighted zero-sum sequences (2010) (32)
- Restricted sums in a field (2002) (32)
- Connections between p=x2+3y2 and Franel numbers (2013) (32)
- Polynomial extension of Fleck's congruence (2005) (32)
- A number-theoretic approach to homotopy exponents of SU(n) (2005) (31)
- General congruences for Bernoulli polynomials (2003) (30)
- On Euler numbers modulo powers of two (2004) (30)
- On Sums Related to Central Binomial and Trinomial Coefficients (2011) (30)
- ON A CURIOUS PROPERTY OF BELL NUMBERS (2010) (29)
- Quadratic residues and related permutations and identities (2018) (29)
- Identities concerning Bernoulli and Euler polynomials (2004) (29)
- p-adic congruences motivated by series (2011) (29)
- A Lower Bound for {a+b: a in A, b in B, and P(a, b) != 0} (2002) (29)
- Mixed sums of squares and triangular numbers (II) (2005) (27)
- Exact m-covers and the linear form $∑^k_{s=1} x_s/n_s$ (1997) (27)
- On Snevily's conjecture and restricted sumsets (2003) (27)
- A congruence for primes (1995) (27)
- Algebraic Approaches to Periodic Arithmetical Maps (2001) (27)
- On the sum Σk≡r(modm) (kn) and related congruencesand related congruences (2002) (26)
- Two congruences involving harmonic numbers with applications (2014) (26)
- A result similar to Lagrange's theorem (2015) (26)
- ON A SEQUENCE INVOLVING SUMS OF PRIMES (2012) (25)
- On functions taking only prime values (2012) (25)
- Restricted sums of subsets of Z (2001) (23)
- Supercongruences involving dual sequences (2015) (23)
- Refining Lagrange's four-square theorem (2016) (23)
- REDUCTION OF UNKNOWNS IN DIOPHANTINE REPRESENTATIONS (1992) (22)
- On almost universal mixed sums of squares and triangular numbers (2008) (22)
- ON INTEGERS NOT OF THE FORM ±p ± q (2000) (22)
- SOME NEW SERIES FOR 1 / π AND RELATED CONGRUENCES (2011) (22)
- Fibonacci numbers modulo cubes of primes (2009) (21)
- On covering numbers (2006) (21)
- On covering multiplicity (1999) (21)
- On monotonicity of some combinatorial sequences (2012) (21)
- On integers not of the form (1999) (21)
- p-adic valuations of some sums of multinomial coefficients (2009) (20)
- Congruences for sums of binomial coefficients (2005) (20)
- New series for powers of $\pi$ and related congruences (2019) (20)
- Determination of the two-color Rado number for a1x1+ ... +amxm=x0 (2008) (19)
- PRODUCTS OF BINOMIAL COEFFICIENTS MODULO p 2 (2001) (19)
- Further results on Hilbert’s Tenth Problem (2017) (19)
- FINITE COVERS OF GROUPS BY COSETS OR SUBGROUPS (2005) (19)
- Sums of subsets with polynomial restrictions (2002) (19)
- ON q-ANALOGUES OF SOME SERIES FOR π AND π 2 (2019) (18)
- On odd covering systems with distinct moduli (2004) (18)
- Finite coverings of groups (1990) (18)
- Arithmetic Properties of Periodic Maps (2004) (17)
- On exactlym times covers (1992) (17)
- On value sets of polynomials over a field (2007) (17)
- Two new kinds of numbers and related divisibility results (2014) (17)
- Supercongruences motivated by e (2010) (17)
- ON VARIOUS RESTRICTED SUMSETS (2004) (17)
- On the Function w(x)=|{1≤s≤k : x≡as (mod ns)}| (2003) (16)
- ON SUMS OF PRIMES AND TRIANGULAR NUMBERS (2008) (16)
- Proof of three conjectures on congruences (2010) (16)
- Telescoping method and congruences for double sums (2016) (16)
- On the Herzog–Schönheim conjecture for uniform covers of groups (2003) (16)
- On the range of a covering function (2004) (16)
- LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC -COEFFICIENTS (2008) (16)
- An additive theorem and restricted sumsets (2006) (15)
- Some congruences for the second-order Catalan numbers (2009) (15)
- A new extension of the Erdos-Heilbronn conjecture (2007) (14)
- Restricted sumsets and a conjecture of Lev (2005) (14)
- Binomial coefficients and quadratic fields (2004) (14)
- Investigation of the active sites for NO oxidation reactions over MnOx–CeO2 catalysts (2017) (14)
- RECIPROCAL SUMS OF SECOND-ORDER RECURRENT SEQUENCES (1999) (13)
- A lower bound for |a+b: a∈A, b∈B, P(a,b)\not=0| (2006) (13)
- Covering the integers by arithmetic sequences (1995) (13)
- On Covering Equivalence (2002) (13)
- Congruences for the second-order Catalan numbers (2010) (13)
- Some variants of Lagrange's four squares theorem (2016) (13)
- Combinatorial congruences and Stirling numbers (2005) (12)
- Various congruences involving binomial coefficients and higher-order Catalan numbers (2009) (12)
- A REFINEMENT OF THE (2010) (12)
- On harmonic numbers and Lucas sequences (2010) (12)
- On sums of binomial coefficients and their applications (2004) (12)
- On a Sumset Problem for Integers (2010) (12)
- Zero-sum problems for abelian p-groups and covers of the integers by residue classes (2003) (12)
- Restricted sums of four squares (2017) (11)
- Covers of the integers with odd moduli and their applications to the forms xm-2n and x2-F3n/2 (2007) (11)
- A variant of Tao's method with application to restricted sumsets (2008) (11)
- Arithmetic properties of Delannoy numbers and Schr\"oder numbers (2016) (11)
- Congruences involving $$g_n(x)=\sum \limits _{k=0}^n\left( {\begin{array}{c}n\\ k\end{array}}\right) ^2\left( {\begin{array}{c}2k\\ k\end{array}}\right) x^k$$gn(x)=∑k=0nnk22kkxk (2016) (11)
- Some curious congruences modulo primes (2009) (11)
- A curious identity involving binomial coefficients. (2002) (10)
- Supercongruences involving Lucas sequences (2016) (10)
- Linear extension of the Erdős-Heilbronn conjecture (2008) (10)
- On two-way nondeterministic finite automata with one reversal-bounded counter (2005) (9)
- Exactm-covers of Groups by Cosets (2001) (9)
- A local–global theorem on periodic maps (2004) (9)
- On $q$-analogues of some series for $\pi $ and $\pi ^2$ (2018) (9)
- On disjoint residue classes (1992) (9)
- New congruences involving products of two binomial coefficients (2016) (9)
- Problems on combinatorial properties of primes (2014) (9)
- On Fleck quotients (2006) (9)
- On the 1-3-5 conjecture and related topics (2017) (9)
- Integers not of the form $c(2^a+2^b)+p^{\alpha }$ (2001) (9)
- Sums of four polygonal numbers with coefficients (2016) (9)
- On the Emptiness Problem for Two-Way NFA with One Reversal-Bounded Counter (2002) (8)
- On some determinants involving Jacobi symbols (2018) (8)
- Two $q$-analogues of Euler’s formula $\zeta (2)=\pi ^2/6$ (2018) (8)
- A NOTE ON INTEGERS OF THE FORM 2n+cp (2002) (8)
- Conjectures on Representations Involving Primes (2012) (8)
- New series for powers of \begin{document}$ \pi $\end{document} and related congruences (2020) (8)
- A sharp result on m-covers (2005) (8)
- Some new problems in additive combinatorics (2013) (8)
- New type series for powers of $\pi$ (2021) (7)
- Exterior algebras and two conjectures on finite abelian groups (2008) (7)
- Proof of a conjectural supercongruence (2015) (7)
- Acta Arith. 81(1997), no. 2, 175-198. EXACT m-COVERS AND THE LINEAR FORM ∑ k s=1 xs/ns (2004) (7)
- Some new series for $1/\pi$ and related congruences (2011) (7)
- ON COVERS OF ABELIAN GROUPS BY COSETS (2004) (7)
- On $x(ax+1)+y(by+1)+z(cz+1)$ and $x(ax+b)+y(ay+c)+z(az+d)$ (2015) (7)
- On some universal sums of generalized polygonal numbers (2009) (7)
- On some determinants involving the tangent function (2019) (7)
- On the number of zero-sum subsequences (2007) (6)
- On Apery numbers and generalized central trinomial coefficients (2010) (6)
- Universal sums of three quadratic polynomials (2015) (6)
- ON SUMS OF DISTINCT REPRESENTATIVES (1998) (6)
- Sums of minima and maxima (2002) (6)
- HALL'S THEOREM REVISITED (2001) (6)
- q-Analogues of Some Series for Powers of $$\pi $$ (2021) (6)
- Divisibility results on Franel numbers and related polynomials (2019) (6)
- A connection between covers of the integers and unit fractions (2004) (5)
- A LOWER BOUND FOR |{a + b: a 2 A, b 2 B, P(a,b) 6 0}| (2002) (5)
- Proof of some conjectures involving quadratic residues (2019) (5)
- On Motzkin numbers and central trinomial coefficients (2018) (5)
- Proof of some conjectural hypergeometric supercongruences via curious identities (2020) (5)
- ON DIVISIBILITY OF BINOMIAL COEFFICIENTS (2012) (5)
- On $q$-Euler numbers, $q$-Salié numbers and $q$-Carlitz numbers (2005) (5)
- On irreducible polynomials over finite fields (2012) (5)
- A UNIFIED THEORY OF ZERO-SUM PROBLEMS, SUBSET SUMS AND COVERS OF Z (2005) (5)
- CONGRUENCES INVOLVING BINOMIAL COEFFICIENTS AND LUCAS SEQUENCES (2009) (5)
- Some q-congruences related to 3-adic valuations (2009) (4)
- Mixed Sums of Primes and Other Terms (2009) (4)
- CURIOUS CONGRUENCES FOR FIBONACCI NUMBERS (2009) (4)
- Some congruences involving binomial coefficients (2010) (4)
- Congruences involving central binomial coefficients and Catalan numbers (2007) (4)
- Determining $x$ or $y$ mod $p^2$ with $p=x^2+dy^2$ (2012) (4)
- Arithmetic progressions represented by diagonal ternary quadratic forms (2018) (4)
- Determination of the two-color Rado number for $a_1x_1+...+a_mx_m=x_0$ (2006) (4)
- A Survey of Problems and Results on Restricted Sumsets (2007) (4)
- Proof of a Conjecture Involving Derangements and Roots of Unity (2022) (3)
- Extensions of Wilson's lemma and the Ax-Katz theorem (2006) (3)
- Quadratic residues and quartic residues modulo primes (2018) (3)
- PROBLEMS AND RESULTS ON COVERING SYSTEMS (2005) (3)
- Arithmetic properties of some permanents (2021) (3)
- Trigonometric identities and quadratic residues (2019) (3)
- A new extension of the Sun-Zagier result involving Bell numbers and derangement numbers (2020) (3)
- Binomial coefficients and the ring of p-adic integers (2008) (3)
- On divisibility concerning binomial coefficients (2010) (3)
- On practical numbers of some special forms (2018) (3)
- A THEOREM CONCERNING SYSTEMS OF RESIDUE CLASSES (1991) (3)
- On sums of four pentagonal numbers with coefficients (2020) (3)
- $p$-adic analogues of hypergeometric identities and their applications (2019) (3)
- Super congruences and elliptic curves over $\Bbb F_p$ (2010) (3)
- A refinement of the Hamme-Mortenson congruence (2010) (3)
- A connection between covers of Z and unit fractions (2004) (3)
- Mixed quantifier prefixes over Diophantine equations with integer variables (2021) (3)
- Anew Relation-Combining Theorem and its Application (1992) (3)
- Generalizations of Knopp's Identity (2002) (3)
- Hankel-type determinants for some combinatorial sequences (2016) (3)
- On Bialostocki's conjecture for zero-sum sequences (2008) (3)
- Some refinements of Lagrange's four-square theorem (2016) (2)
- A new theorem on the prime-counting function (2014) (2)
- FLECK QUOTIENTS AND BERNOULLI NUMBERS (2006) (2)
- On a Permutation Problem for Finite Abelian Groups (2016) (2)
- Congruences involving central trinomial coefficients (2019) (2)
- Safety Verification for Two-Way Finite Automata with Monotonic Counters (2002) (2)
- Some new inequalities for primes (2012) (2)
- A RECIPROCITY LAW FOR UNIFORM FUNCTIONS (2004) (2)
- Each Positive Rational Number Has the Form (2020) (2)
- Proof of several conjectures relating permanents to combinatorial sequences (2021) (2)
- FAST CONVERGING SERIES FOR SOME FAMOUS CONSTANTS (2010) (2)
- Conjectures involving combinatorial sequences (2012) (2)
- On 2-adic orders of some binomial sums (2009) (2)
- New observations on primitive roots modulo primes (2014) (2)
- Symmetric Identities for Euler Polynomials (2008) (2)
- Quadratic residues and related permutations (2018) (2)
- SOME NEW SUPER-CONGRUENCES MODULO PRIME POWERS (2010) (2)
- New congruences involving harmonic numbers (2014) (2)
- An Extension of a Curious Binomial Identity (2004) (2)
- ON ZERO-SUM PROBLEMS (2006) (2)
- On universal sums $x(ax+b)/2+y(cy+d)/2+z(ez+f)/2$ (2015) (2)
- ON m-COVERS AND m-SYSTEMS (2004) (2)
- Conjectures involving primes and quadratic forms (2012) (1)
- Legendre symbols related to certain determinants (2022) (1)
- Two new kinds of numbers and their arithmetic properties (2014) (1)
- EXACT m-COVERS AND THE LINEAR FORM Pk=1 xs/ns (1997) (1)
- Natural numbers represented by $\lfloor x^2/a\rfloor+\lfloor y^2/b\rfloor+\lfloor z^2/c\rfloor$ (2015) (1)
- An analogue of the prime number theorem for finite fields (2013) (1)
- Congruences for Apéry numbers $\beta_{n}=\sum_{k=0}^{n}\binom{n}{k}^2\binom{n+k}{k}$ (2018) (1)
- Each natural number is of the form x^2+(2y)^2+z(z+1)/2 (2005) (1)
- Consecutive primes and Legendre symbols (2014) (1)
- Positive squares written as nontrivial sums of four squares (2020) (1)
- N T ] 1 3 O ct 2 02 2 Preprint SERIES WITH SUMMANDS INVOLVING HIGHER ORDER HARMONIC NUMBERS (2022) (1)
- Preprint ( Dec . 10 , 2004 ) ON ODD COVERING SYSTEMS WITH DISTINCT MODULI (2004) (1)
- EVALUATIONS SOME TOELITZ-TYPE DETERMINANTS (2022) (1)
- Proof of three conjectures on determinants related to quadratic residues (2020) (1)
- On $q$-analogues of a Zeilberger-type series for $\pi^2$ (2018) (1)
- Series with summands involving harmonic numbers (2022) (1)
- A CONJECTURE ON UNIT FRACTIONS INVOLVING PRIMES (2015) (1)
- Congruences involving Catalan numbers (2007) (1)
- Sums of four squares with certain restrictions. (2020) (1)
- A combinatorial congruence on polynomials (2005) (1)
- Quantum Secure Direct Communication with Two-Photon Four-Qubit Cluster States (2012) (1)
- New identities involving Bernoulli and Euler polynomials. II (2004) (1)
- Proof of some conjectural supercongruences via curious identities (2020) (1)
- A $q$-analogue of Euler's formula $\zeta(2)=\pi^2/6$ (2018) (1)
- Congruences involving $g_n(x)=\sum_{k=0}^n\binom nk^2\binom{2k}kx^k$ (2014) (1)
- To appear in Acta Arith. IDENTITIES CONCERNING BERNOULLI AND EULER POLYNOMIALS (2006) (1)
- Some universal quadratic sums over the integers (2017) (1)
- Evaluations of some Toeplitz-type determinants (2022) (1)
- On a new zeta function (2012) (1)
- arXiv:math.NT/0502187 CONGRUENCES FOR SUMS OF BINOMIAL COEFFICIENTS (2005) (1)
- Some super congruences involving binomial coefficients (2010) (1)
- Supercongruences arising from certain identities (2020) (1)
- On a pair of zeta functions (2012) (1)
- EXPLICIT CONGRUENCES FOR EULER POLYNOMIALS (2006) (1)
- ON SOME UNIVERSAL SUMS OF GENERALIZED POLYGONAL (2016) (1)
- Congruences involving generalized central trinomial coefficients (2014) (1)
- Trans. Amer. Math. Soc., in press. COMBINATORIAL CONGRUENCES (2007) (0)
- RECENT PROGRESS ON CONGRUENCES INVOLVING BINOMIAL COEFFICIENTS (2006) (0)
- On Sums and Products in a Field (2018) (0)
- Sums of four rational squares with certain restrictions (2020) (0)
- Frontiers of Combinatorics and Number Theory (2012) (0)
- Some new trigonometric identities (2019) (0)
- My Main Work on the Three Topics (2005) (0)
- On q-Euler numbers and q-Salie numbers (2005) (0)
- On partitions of integers with restrictions involving squares (2021) (0)
- Preprint A NEW TRIGONOMETRIC IDENTITY WITH APPLICATIONS (2019) (0)
- Preprint CHARACTERIZING RATIONAL RAMNUJAN-TYPE SERIES FOR 1 / π VIA CONGRUENCES (2019) (0)
- A talk given at University of Illinois at Urbana Champaign (April 13, 2006) COVERING SYSTEMS AND PERIODIC ARITHMETICAL FUNCTIONS (2006) (0)
- Sums of squares with restrictions involving primes (2018) (0)
- VARIOUS EXTENSIONS OF SOME BASIC RESULTS IN COMBINATORIAL NUMBER THEORY (2008) (0)
- A PARAMETRIC CONGRUENCE ARISING FROM ORR’S IDENTITY (2021) (0)
- RESTRICTED SUMSETS AND A CONJECTURE OF (2005) (0)
- Non-geometric routing algorithms (2002) (0)
- ON CONVOLUTIONS OF EULER NUMBERS (2010) (0)
- A talk given at the National Taiwan Univ. on June 24, 2002. ON THE STRUCTURE OF PERIODIC ARITHMETICAL MAPS (2004) (0)
- A new theorem on the prime-counting function (2015) (0)
- New congruences involving second-order harmonic numbers (2014) (0)
- Evaluations of some series of the type $\sum_{k=0}^\infty(ak+b)x^k/\binom{mk}{nk}$ (2022) (0)
- On restricted permutations of $\{1,\ldots,n\}$ (2018) (0)
- Preprint , Version 2 . 2 ON WEIGHTED ZERO-SUM SEQUENCES (2010) (0)
- A simple way to generate all primes (2012) (0)
- PROOF OF SOME INVOLVING QUADRATIC RESIDUES (2020) (0)
- FOR UNIFORM COVERS OF GROUPS (2004) (0)
- SOME CONGRUENCES MOTIVATED BY ALGEBRAIC TOPOLOGY (2005) (0)
- On universal sums $ax^2+by^2+f(z)$, $aT_x+bT_y+f(z)$ and $aT_x+by^2+f(z)$ (2015) (0)
- Preprint A PRODUCT INVOLVING THE TANGENT FUNCTION AND CUBIC RESIDUES (2022) (0)
- Notes on primitive roots modulo primes (2014) (0)
- Proof of two conjectures on 3-adic valuations (2009) (0)
- On permutations of $$\{1,\ldots ,n\}$$ and related topics (2018) (0)
- On some determinants and permanents (2022) (0)
- SOME SIMPLE IDEAS FOR FAMOUS PROBLEMS (2004) (0)
- Further results on sums of squares (2018) (0)
- The tangent function and power residues modulo primes (2022) (0)
- Preprint, arXiv:math.NT/0702382 COVERS OF THE INTEGERS WITH ODD MODULI AND THEIR APPLICATIONS TO THE FORMS x m − 2 n AND x 2 − F3n/2 (2007) (0)
- A talk given at Graz Univ. on June 14, 2004. COVERING SYSTEMS AND THEIR CONNECTIONS TO ZERO-SUMS (2004) (0)
- Ja n 20 04 Preprint ( 2003-01-19 ) BINOMIAL COEFFICIENTS AND QUADRATIC FIELDS (2004) (0)
- On congruences involving Ap\'ery numbers (2022) (0)
- On two conjectures involving quadratic residues (2019) (0)
- 6689 ON A PAIR OF ZETA FUNCTIONS (2012) (0)
- New congruences involving products of two binomial coefficients (2019) (0)
- Israel J . Math . ZERO-SUM PROBLEMS IN ABELIAN p-GROUPS AND COVERS OF THE INTEGERS BY RESIDUE CLASSES (2007) (0)
- A Unified Theory of Zero-sum Problems and Covers of the Integers (2003) (0)
- Some new series for $1/\pi $ motivated by congruences (2020) (0)
- 5988 ON PRIMES IN ARITHMETIC PROGRESSIONS (2013) (0)
- A curious identity for Bernoulli numbers (2013) (0)
- On permutations of { 1 , . . . , n } and related topics (2021) (0)
- SOME CONGRUENCES FOR THE (2010) (0)
- O ct 2 01 8 Preprint , arXiv : 1809 . 07766 QUADRATIC RESIDUES AND RELATED PERMUTATIONS AND IDENTITIES (2018) (0)
- Groups and Combinatorial Number Theory (2004) (0)
- Preprint (arXiv:math.NT/0508087) COMBINATORIAL CONGRUENCES MODULO PRIME POWERS (2005) (0)
- HOW TO UNIFY COVERING SYSTEMS , RESTRICTED SUMSETS AND ZERO-SUM PROBLEMS ? (2004) (0)
- A SURVEY OF ZERO-SUM PROBLEMS ON ABELIAN GROUPS (2006) (0)
- On sumsets with polynomial restrictions (2008) (0)
- RADO NUMBER FOR a1x1 + + amxm = x0 (2008) (0)
- ON VARIOUS COMBINATORIAL SUMS AND RELATED IDENTITIES (2004) (0)
- Connections between covers of $\mathbb Z$ and subset sums (2020) (0)
- J . Number Theory SIMPLE ARGUMENTS ON CONSECUTIVE POWER RESIDUES (2005) (0)
- Notes on sum_{k=0}^{p-1}binom(2k,k)^3/m^k mod p^2 (2012) (0)
- N T ] 1 7 O ct 2 01 9 p-ADIC ANALOGUES OF HYPERGEOMETRIC IDENTITIES AND THEIR APPLICATIONS (2019) (0)
- On primes in arithmetic progressions (2013) (0)
- Preprint, arXiv:1911.05456 CHARACTERIZING RATIONAL RAMANUJAN-TYPE SERIES FOR 1/π VIA CONGRUENCES (2019) (0)
- COMBINATORIAL ASPECTS OF SZEMERÉDI ’ S THEOREM (2007) (0)
- Proof of a conjectural supercongruence modulo $p^5$ (2021) (0)
- Acta Arith. 127(2007), no.4, 337–363. ON FLECK QUOTIENTS (2007) (0)
- Preprint , arXiv : 1011 . 3487 SOME NEW SUPER-CONGRUENCES MODULO PRIME POWERS (2011) (0)
- Supercongruences for central trinomial coefficients. (2020) (0)
- N T ] 3 J un 2 01 9 SUMS OF SQUARES WITH RESTRICTIONS INVOLVING PRIMES (2019) (0)
- On two new kinds of restricted sumsets (2022) (0)
- A $q$-analogue of the identity $\sum_{k=0}^\infty\frac{(-1)^k}{(2k+1)^3}=\frac{\pi^3}{32}$ (2018) (0)
- N T ] 1 5 O ct 2 01 9 p-ADIC ANALOGUES OF TWO 4 F 3 HYPERGEOMETRIC IDENTITIES AND THEIR APPLICATIONS (2019) (0)
- Finite Fields Appl. 56(2019), 285–307. ON SOME DETERMINANTS WITH LEGENDRE SYMBOL ENTRIES (2019) (0)
- Acta Arith. 99(2001), no. 2, 183–190. INTEGERS NOT OF THE FORM c(2 a + 2 b) + p α (2004) (0)
- n (−1) (2006) (0)
- On determinants involving second-order recurrent sequences (2023) (0)
- An identity involving products of three binomial coefficients (2005) (0)
- (Communicated by D. Goss) (2004) (0)
- Characterizing rational Ramanujan-type series for $1/\pi$ via congruences (2019) (0)
- NEW CONJECTURES ON REPRESENTATIONS OF INTEGERS (I) (2018) (0)
- Preprint , arXiv : 1908 . 02155 TRIGONOMETRIC IDENTITIES AND QUADRATIC RESIDUES (2019) (0)
- To appear in Int. J. Number Theory. LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC ψ-COEFFICIENTS (2006) (0)
- RECENT PROGRESS ON ZERO-SUM PROBLEMS AND SNEVILY'S CONJECTURE (2004) (0)
- Universal sums of three quadratic polynomials (2018) (0)
- On exponential diophantine equations over $\mathbb Q$ with few unknowns (2021) (0)
- A new theorem on quadratic residues modulo primes (2021) (0)
- Congruences for Apéry numbers βn =∑k=0nn k2n+k k (2020) (0)
- On universal sums of polygonal numbers (2015) (0)
- Some new congruences involving Catalan numbers (2009) (0)
- CATALAN NUMBERS AND LUCAS QUOTIENTS (2010) (0)
- J an 2 00 4 Preprint ( 2004-01-07 ) AN EXTENSION OF A CURIOUS BINOMIAL IDENTITY (2004) (0)
- SOME NEW SERIES FOR 1/π MOTIVATED BY CONGRUENCES (2020) (0)
- Reported on the 2 rd Cross-Strait Confer . on Graph Theory and Combin (2004) (0)
- Each positive rational number has the form $\varphi(m^2)/\varphi(n^2)$ (2020) (0)
- THEORY OF HARMONIC NUMBERS (2009) (0)
- Quadratic Reciprocity Revisited (2003) (0)
- Preprint ON CONGRUENCES INVOLVING CENTRAL BINOMIAL COEFFICIENTS (2009) (0)
- A new result similar to the Graham-Pollak theorem (2023) (0)
- N T ] 3 0 Ju l 2 01 9 Preprint ON TWO CONJECTURES INVOLVING QUADRATIC RESIDUES (2019) (0)
- AND SCHR ¨ ODER NUMBERS (2011) (0)
- Preprint (2005-07-01), arXiv:math.NT/0507008. POLYNOMIAL EXTENSION OF FLECK’S CONGRUENCE (2005) (0)
- NOTES ON CONJECTURES OF ZHI-WEI SUN (2009) (0)
- ALower Bound for jf a þ b : a 2 A ; b 2 B ; P ð a ; b Þ a 0 gj (2002) (0)
- Preprint (2007-02-13) COVERS OF THE INTEGERS WITH ODD MODULI AND THEIR APPLICATIONS TO THE FORMS x m − 2 n AND x 2 − F3n/2 (2007) (0)
- STUDY COVERS OF GROUPS VIA CHARACTERS AND NUMBER THEORY (2008) (0)
- On the unique representability of spikes over prime fields (2006) (0)
- The least modulus for which consecutive polynomial values are distinct (2013) (0)
- Dualities for congruences and series (2011) (0)
- On sums of cubes of central binomial coefficients (2010) (0)
- J an 2 00 6 ON COVERING NUMBERS (2006) (0)
- Further results on Hilbert’s Tenth Problem (2020) (0)
- On Diophantine equations over $\mathbb Z[i]$ with $52$ unknowns (2020) (0)
- Lucas-type congruences for cyclotomic $\psi$-coefficients (2005) (0)
- 2900 ON SOME DETERMINANTS WITH LEGENDRE SYMBOL ENTRIES (2013) (0)
- $\mathbb{Q}\setminus\mathbb{Z}$ is diophantine over $\mathbb{Q}$ with $32$ unknowns (2021) (0)
- Proof of three conjectures on congruences (2014) (0)
- On the set $\{\pi(kn):\ k=1,2,3,\ldots\}$ (2020) (0)
- PROPERTIES OF PRIMES (2014) (0)
- AND THE AX-KATZ THEOREM (2006) (0)
- SIMPLE ARGUMENTS ON CONSECUTIVE POWER RESIDUES (2003) (0)
- Arithmetic properties of Apery numbers and central Dclannoy numbers (2010) (0)
- Super congruences involving central binomial coefficients (2008) (0)
- N T ] 1 6 Ja n 20 07 Final version for Acta Arith . ON FLECK QUOTIENTS (2007) (0)
- CONJECTURES ON CONGRUENCES (2010) (0)
- $p$-adic analogues of two ${}_4F_3$ hypergeometric identities and their applications (2019) (0)
- Conjectures on sums of primes and triangular numbers (2008) (0)
- CURIOUS IDENTITIES AND CONGRUENCES INVOLVING BERNOULLI POLYNOMIALS (2006) (0)
- A new result in combinatorial number theory (2016) (0)
- ON UNIVERSAL SUMS OF POLYGONAL (2016) (0)
- EQUALITIES AND INEQUALITIES RELATED TO COVERS OF Z OR GROUPS (2004) (0)
- A novel permanent identity with applications (2022) (0)
- q-Analogues of Some Series for Powers of π\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi $$\end{document} (2021) (0)
- Preprint , arXiv : 1908 . 02155 SOME NEW TRIGONOMETRIC IDENTITIES (2019) (0)
- A Refinement of the Hammer-mortenson Congruence (2010) (0)
- Some parametric congruences involving generalized central trinomial coefficients (2019) (0)
- A new trigonometric identity with applications (2019) (0)
- Congruences for generalized central trinomial coefficients (2010) (0)
- Binomial coefficients and the p-adic integral ring (2008) (0)
- A parametric congruence motivated by Orr's identity (2021) (0)
- Preprint ON WEIGHTED ZERO-SUM SEQUENCES (2010) (0)
- A CHARACTERIZATION OF COVERING EQUIVALENCE (2004) (0)
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