Andrej Dujella

Q: What Schools Are Affiliated With Andrej Dujella

Andrej Dujella is affiliated with the following schools: University of Rijeka, University of Zagreb, University of Split

Andrej Dujella's AcademicInfluence.com Rankings

Andrej Dujella

Mathematics

#4852

World Rank

#6863

Historical Rank

Number Theory

#139

World Rank

#184

Historical Rank

Measure Theory

#3261

World Rank

#3854

Historical Rank

mathematics Degrees

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Mathematics

Andrej Dujella's Degrees

PhD Mathematics University of Zagreb

Why Is Andrej Dujella Influential?

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According to Wikipedia, Andrej Dujella is a Croatian professor of mathematics at the University of Zagreb and a fellow of the Croatian Academy of Sciences and Arts. Life Born in Pula, a native of Zadar, Dujella took part in the International Mathematical Olympiad, where he won a bronze medal in 1984. He received his M.Sc. and Ph.D. in mathematics from the University of Zagreb with a dissertation titled "Generalized Diophantine–Davenport problem". His main area of research is number theory, in particular Diophantine equations, elliptic curves, and applications of number theory in cryptography. Dujella is author of the monograph "Number Theory" .

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Andrej Dujella'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

A Generalization of a Theorem of Baker and Davenport (1998) (391)
There are only finitely many Diophantine quintuples (2004) (196)
Generalization of a problem of Diophantus (1993) (86)
An Absolute Bound for the Size of Diophantine m-Tuples (2001) (80)
The problem of the extension of a parametric family of Diophantine triples (1997) (66)
Continued fractions and RSA with small secret exponent (2004) (61)
Elliptic equations (2009) (59)
On Diophantine quintuples (1997) (52)
A proof of the Hoggatt-Bergum conjecture (1999) (51)
Complete Solution of a Problem of Diophantus and Euler (2005) (50)
On the size of Diophantine m-tuples (2000) (49)
Effective solution of the D(-1)-quadruple conjecture (2007) (46)
ON THE FAMILY OF DIOPHANTINE TRIPLES {k − 1, k + 1, 16k 3 − 4k} (2007) (45)
A family of quartic Thue inequalities (2004) (44)
There are infinitely many rational Diophantine sextuples (2015) (43)
On Mordell-Weil groups of elliptic curves induced by Diophantine triples (2007) (40)
Root separation for irreducible integer polynomials (2010) (38)
High rank elliptic curves with prescribed torsion group over quadratic fields (2012) (38)
THE PROBLEM OF DIOPHANTUS AND DAVENPORT FOR GAUSSIAN INTEGERS (2004) (37)
THE PROBLEM OF DIOPHANTUS AND DAVENPORT FOR GAUSSIAN INTEGERS (2004) (37)
Diophantine $m$-tuples and elliptic curves (2001) (35)
Fibonacci numbers and sets with the property $D(4)$ (2005) (34)
Diophantine m-tuples (2005) (33)
Ranks of Elliptic Curves with Prescribed Torsion over Number Fields (2011) (32)
Bounds for the size of sets with the property D(n) (2003) (32)
Complete solution of the polynomial version of a problem of Diophantus (2004) (29)
Complete solution of a family of simultaneous Pellian equations (1998) (29)
On a problem of Diophantus for higher powers (2003) (29)
Diophantine Equations for Second‐Order Recursive Sequences of Polynomials (2001) (28)
Some polynomial formulas for Diophantine quadruples (1996) (28)
High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples (2014) (24)
On the Exceptional Set in the Problem of Diophantus and Davenport (1998) (24)
A parametric family of elliptic curves (2000) (23)
What is a Diophantine $m$-tuple? (2016) (22)
INDECOMPOSABILITY OF POLYNOMIALS AND RELATED DIOPHANTINE EQUATIONS (2005) (22)
A parametric family of quartic Thue equations (2002) (22)
Root separation for reducible integer polynomials (2013) (22)
A Polynomial Variant of a Problem of Diophantus and Euler (2003) (20)
Diophantine m-tuples for linear polynomials (2002) (20)
On the number of Diophantine m-tuples (2008) (19)
More on Diophantine Sextuples (2016) (18)
A Search for High Rank Congruent Number Elliptic Curves (2009) (17)
Integer points on a family of elliptic curves (2000) (17)
Diophantine triples and construction of high-rank elliptic curves (1998) (17)
DIOPHANTINE QUADRUPLES FOR SQUARES OF FIBONACCI AND LUCAS NUMBERS (1995) (17)
On the rank of elliptic curves coming from rational Diophantine triples (2012) (17)
On a problem of Diophantus with polynomials (2007) (16)
Elliptic curves coming from Heron triangles (2014) (15)
Diophantine m-tuples for primes (2005) (14)
On Worley's theorem in Diophantine approximations (2008) (14)
Rational Diophantine sextuples with mixed signs (2009) (14)
Diophantine m-tuples for linear polynomials II. Equal degrees (2006) (14)
A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS FOR PURE POWERS (2008) (13)
On differences of two squares in some quadratic fields (2007) (13)
On the torsion group of elliptic curves induced by D(4)-triples (2014) (13)
Elliptic curves with torsion group Z/8Z or Z/2Z x Z/6Z (2013) (13)
AN EXTENSION OF AN OLD PROBLEM OF DIOPHANTUS AND EULER-II (2000) (13)
ON THE SIZE OF SETS IN A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS (2010) (13)
Root Separation for Reducible Monic Quartics (2011) (13)
A problem of Diophantus and Pell numbers (1998) (12)
GENERALIZED FIBONACCI NUMBERS AND THE PROBLEM OF DIOPHANTUS (2004) (12)
On arithmetic progressions on Pellian equations (2008) (12)
Strong Diophantine Triples (2008) (12)
Diophantine m-tuples in finite fields and modular forms (2016) (11)
Elliptic curves induced by Diophantine triples (2017) (11)
Absolute Real Root Separation (2016) (11)
Decomposition of a recursive family of polynomials (2007) (11)
Triples which are D(n)-sets for several n's (2017) (10)
ON THE HIGH RANK π / 3 AND 2 π / 3-CONGRUENT NUMBER ELLIPTIC CURVES (2012) (10)
On a problem of Diophantus for rationals (2012) (10)
Irregular Diophantine $m$-tuples and elliptic curves of high rank (2000) (10)
Generalization of a theorem of Baker and (1998) (9)
On a Conjecture Regarding Balancing with Powers of Fibonacci Numbers (2012) (9)
DIOPHANTINE QUADRUPLES IN Z( √ −2) (2010) (9)
Rational Diophantine sextuples with square denominators (2019) (8)
An example of elliptic curve over Q with rank equal to 15 (2002) (8)
Some Diophantine triples and quadruples for quadratic polynomials (2011) (8)
On power values of pyramidal numbers, I (2012) (8)
Arithmetic progressions and Pellian equations (2013) (8)
The problem of Diophantus and Davenport (1997) (8)
Rational Diophantine sextuples containing two regular quadruples and one regular quintuple (2019) (8)
Doubly regular Diophantine quadruples (2020) (7)
On high rank $\pi/3$ and $2\pi/3$-congruent number elliptic curves (2011) (7)
A problem of Diophantus and Dickson's conjecture (1998) (7)
A variant of Wiener’s attack on RSA (2008) (7)
On the family of Diophantine triples (2006) (7)
High rank elliptic curves with prescribed torsion group over quadratic fields (2014) (6)
On the Indecomposability of Polynomials (2005) (6)
A NOTE ON DIOPHANTINE QUINTUPLES (2004) (6)
On the rank of elliptic curves over $\mathbf{Q}(i)$ with torsion group $\mathbf{Z}/4\mathbf{Z} \times \mathbf{Z}/4\mathbf{Z}$ (2010) (6)
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields (2016) (6)
D(n)-quintuples with square elements (2020) (5)
Solving a family of quartic Thue inequalities using continued fractions (2011) (5)
Elliptic curves and Triangles with three rational medians (2013) (5)
Elliptic curves with torsion group $\Z /6\Z $ (2015) (5)
Applications of elliptic curves in public key cryptography (2011) (5)
Diophantine quadruples and Fibonacci numbers (2004) (5)
A bijective proof of Riordan's theorem on powers of Fibonacci numbers (1999) (5)
On Hall's conjecture (2010) (5)
On the rank of elliptic curves over Q ð i Þ with torsion group Z = 4Z (cid:1) Z = 4Z (2010) (5)
Diophantine quadruples with the properties $$D(n_1)$$ and $$D(n_2)$$ (2019) (5)
A Pellian Equation with Primes and Applications to $$D(-1)$$D(-1)-Quadruples (2017) (4)
DIOPHANTINE QUADRUPLES AND QUINTUPLES MODULO 4 (2004) (4)
Strong Eulerian triples (2018) (4)
Uvod u teoriju brojeva (2008) (3)
High rank elliptic curves induced by rational Diophantine triples (2020) (3)
On the sum of two divisors of (n2 + 1)/2 (2012) (3)
Newton's Formula and the Continued Fraction Expansion of √d (2001) (3)
The rank and generators of Kihara's elliptic curve with torsion $\mathbb{Z}/4\mathbb{Z}$ over $\mathbb{Q}(t)$ (2014) (3)
On quadratic twists of elliptic curves y2 = x(x − 1)(x − λ) (2014) (3)
Strong rational Diophantine D(q)-triples (2020) (3)
A variant of Wiener's attack on RSA with small secret exponent (2008) (3)
Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization (2011) (3)
ON A VARIATION OF A CONGRUENCE OF SUBBARAO (2012) (3)
Construction of High Rank Elliptic Curves (2020) (3)
Diophantine triples with largest two elements in common (2020) (3)
On the size of sets whose elements have perfect power n-shifted products (2011) (3)
Products of three factorial (2014) (2)
Diophantine m-tuples with elements in arithmetic progressions (2014) (2)
SOME DIOPHANTINE PROPERTIES OF THE SEQUENCE OF S-UNITS (2014) (2)
Conjectures and results on the size and number of Diophantine tuples (2008) (2)
On elliptic curves induced by rational Diophantine quadruples (2021) (2)
Square roots with many good approximants. (2005) (2)
Elliptic curves with torsion groups $${ \mathbb {Z}}/ 8 {\mathbb {Z} } $$ and $${ \mathbb {Z}}/ 2 {\mathbb {Z}} \times {\mathbb {Z}}/ 6 {\mathbb {Z}}$$ (2021) (2)
Products of three factorials (2014) (2)
Sumsets being squares (2013) (2)
Finiteness results for F-Diophantine sets (2016) (2)
AN INTERESTING PROPERTY OF A RECURRENCE RELATED TO THE FIBONACCI SEQUENCE (2004) (2)
Rank zero elliptic curves induced by rational Diophantine triples (2020) (2)
On fundamental units of real quadratic fields of class number 1 (2019) (1)
The non-extensibility of D ( − 2 k + 1) -triples (1)
Some estimates of the number of Diophantine quadruples (1998) (1)
An example of elliptic curve over $\mathbf {Q}$ with rank equal to 15 (2002) (1)
On Diophantine m-tuples and D(n)-sets (2018) (1)
Absolute Root Separation (2019) (1)
Products of factorials which are powers (2019) (1)
Elliptic curves induced by Diophantine triples (2018) (0)
2 J ul 2 01 9 Absolute root separation (2019) (0)
On quadratic twists of elliptic curves y^2=x(x-1)(x-lambda) (2014) (0)
Extensions of a Diophantine Triple by Adjoining Smaller Elements (2022) (0)
The Fibonacci numbers (2000) (0)
Rational Diophantine tuples and elliptic curves (2019) (0)
Finiteness results for F-Diophantine sets (2015) (0)
Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization (2012) (0)
Extensions of a Diophantine Triple by Adjoining Smaller Elements (2022) (0)
On the largest element in D(n)-quadruples (2019) (0)
An elliptic curve over Q(u) with torsion Z/4Z and rank 6 (2022) (0)
On Hall's conjecture and related polynomial Pell's equation (2012) (0)
On the sum of two divisors of (n2 + 1)/2 (2012) (0)
Diophantine triples with largest two elements in common (2020) (0)
Construction of high rank elliptic curves and related Diophantine problems (2007) (0)
The non-extensibility of $D(-2k+1)$-triples $\{1, k^2, k^2+2k-1\}$ (2015) (0)
The 2nd Department of Mathematical, Physical and Chemical Sciences (2015) (0)
Diophantine m-tuples and generalizations (2007) (0)
Diophantine m-tuples in finite fields and modular forms (2021) (0)
On power values of pyramidal numbers, II (2021) (0)
High-rank elliptic curves induced by Diophantine triples (2015) (0)
Root separation for reducible monic polynomials of odd degree (2017) (0)
Formulas for Diophantine quintuples containing two pairs of conjugates in some quadratic fields (2022) (0)
Sumsets being squares (2013) (0)
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields (2016) (0)
Construction of High Rank Elliptic Curves (2020) (0)
Lie Groups, Number Theory, and Vertex Algebras (2021) (0)
Asymptotics of $D(q)$-pairs and triples via $L$-functions of Dirichlet charaters (2023) (0)
On the D(-1)-quadruple conjecture (2006) (0)

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What Schools Are Affiliated With Andrej Dujella?

Andrej Dujella is affiliated with the following schools:

Andrej Dujella's Academic­Influence.com Rankings

Andrej Dujella's Degrees

Why Is Andrej Dujella Influential?

Andrej Dujella's Published Works

Published Works

Other Resources About Andrej Dujella

What Schools Are Affiliated With Andrej Dujella?

Andrej Dujella's AcademicInfluence.com Rankings