About employee

prof. dr. sc. Andrej Dujella

Title: Full Professor
Location: 301
Public phone number:01 460 5780
E-mail: E-mail
Personal web page: https://web.math.pmf.unizg.hr/~duje/
Department: Zavod za algebru i teoriju brojeva
Graduation year:1990
mr.sc. graduation year:1993
PhD graduation year:1996
Employed in this institution since:1996

Teaching

undergraduate

graduate

Published papers recorded in the Croatian Scientific Bibliography Database

Rational Diophantine sextuples with strong pair

Dujella, Andrej; Kazalicki, Matija; Petričević, Vinko
2025.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas

Asymptotics of D(q)-pairs and triples via L-functions of Dirichlet characters

Adžaga, Nikola; Dražić, Goran; Dujella, Andrej; Pethő, Attila
2025.
Ramanujan journal

Extensions of a Diophantine triple by adjoining smaller elements II

Cipu, Mihai ; Dujella, Andrej ; Fujita, Yasutsugu
2024.
Periodica mathematica Hungarica

An elliptic curve over Q(u) with torsion Z/4Z and rank 6

Dujella, Andrej ; Peral, Juan Carlos
2024.
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti

High-rank elliptic curves with given torsion group and some applications

Dujella, Andrej
2023.
Banach Center publications

On power values of pyramidal numbers, II,

Dujella, Andrej; Győry, Kálmán; Michaud-Jacobs, Philippe; Pintér, Ákos
2023.
Acta Arithmetica

Stjepan Bohniček (15. prosinca 1872. - 14. ožujka 1956.)

Dujella, Andrej; Valent, Anđa; Vuković, Ivica
2022.
Glasnik matematički

Extensions of a Diophantine triple by adjoining smaller elements

Cipu, Mihai ; Dujella, Andrej ; Fujita, Yasutsugu
2022.
Mediterranean journal of mathematics

Absolute root separation

Bugeaud, Yann ; Dujella, Andrej ; Fang, Wenjie ; Pejković, Tomislav ; Salvy, Bruno
2022.
Experimental mathematics

On elliptic curves induced by rational Diophantine quadruples

Dujella, Andrej ; Soydan, Gökhan
2022.
Proceedings of the Japan Academy. Series A Mathematical sciences

Formulas for Diophantine quintuples containing two pairs of conjugates in some quadratic fields

Dujella, Andrej ; Franušić, Zrinka ; Petričević, Vinko
2022.
Periodica mathematica Hungarica

Elliptic curves with torsion groups Z/8Z and Z/2Z × Z/6Z

Dujella, Andrej ; Kazalicki, Matija ; Peral, Juan Carlos
2021.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas

D(n)-quintuples with square elements

Dujella, Andrej ; Kazalicki, Matija ; Petričević, Vinko
2021.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas

Diophantine m-tuples in finite fields and modular forms

Dujella, Andrej ; Kazalicki, Matija
2021.
Research in number theory

Construction of high rank elliptic curves

Dujella, Andrej ; Peral, Juan Carlos
2021.
Journal of geometric analysis

Diophantine triples with largest two elements in common

Cipu, Mihai ; Dujella, Andrej ; Fujita, Yasutsugu
2021.
Periodica mathematica Hungarica

Number Theory

Dujella, Andrej
2021.

Rational Diophantine sextuples containing two regular quadruples and one regular quintuple

Dujella, Andrej ; Kazalicki, Matija ; Petričević, Vinko
2021.
Acta mathematica Spalatensia. Series didactica

Doubly regular Diophantine quadruples

Dujella, Andrej ; Petričević, Vinko
2020.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas

Diophantine quadruples with the properties D(n1) and D(n2)

Dujella, Andrej ; Petričević, Vinko
2020.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas

D(n)-sets with square elements

Dujella, Andrej
2020.

Rank zero elliptic curves induced by rational Diophantine triples

Dujella, Andrej ; Mikić, Miljen
2020.
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti

Strong rational Diophantine D(q)-triples

Dujella, Andrej ; Paganin, Matteo ; Sadek, Mohammad
2020.
Indagationes mathematicae

High rank elliptic curves induced by rational Diophantine triples

Dujella, Andrej ; Peral, Juan Carlos
2020.
Glasnik matematički

On the largest element in D(n)-quadruples

Dujella, Andrej ; Petričević, Vinko
2019.
Indagationes mathematicae

On fundamental units of real quadratic fields of class number 1

Dujella, Andrej ; Luca, Florian
2019.
Archiv der Mathematik

Elliptic curves induced by Diophantine triples

Dujella, Andrej ; Peral, Juan Carlos
2019.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas

Rational Diophantine sextuples with square denominators

Dujella, Andrej ; Kazalicki, Matija ; Petričević, Vinko
2019.
Journal of number theory

A Pellian equation with primes and applications to D(-1)-quadruples

Dujella, Andrej ; Jukić Bokun, Mirela ; Soldo, Ivan
2019.
Bulletin of the Malaysian Mathematical Sciences Society

Teorija brojeva

Dujella, Andrej
2019.

Products of factorials which are powers,

Berczes, Attila ; Dujella, Andrej ; Hajdu, Lajos ; Saradha, N. ; Tijdeman, Robert
2019.
Acta Arithmetica

Strong Eulerian triples

Dujella, Andrej ; Gusić, Ivica ; Petričević, Vinko ; Tadić, Petra
2018.
Glasnik matematički

Triples which are D(n)-sets for several n's

Adžaga, Nikola ; Dujella, Andrej ; Kreso, Dijana ; Tadić, Petra
2018.
Journal of number theory

On Diophantine m-tuples and D(n)-sets

Adžaga, Nikola ; Dujella, Andrej ; Kreso, Dijana ; Tadić, Petra
2018.

There are infinitely many rational Diophantine sextuples

Dujella, Andrej ; Kazalicki, Matija ; Mikić, Miljen ; Szikszai, Marton
2017.

On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields

Dujella, Andrej ; Jukić Bokun, Mirela ; Soldo, Ivan
2017.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas

There are infinitely many rational Diophantine sextuples

Dujella, Andrej ; Kazalicki, Matija ; Mikić, Miljen ; Szikszai, Marton
2017.
International mathematics research notices

Absolute real root separation

Bugeaud, Yann ; Dujella, Andrej ; Pejković, Tomislav, Salvy, Bruno
2017.
American mathematical monthly

Root separation for reducible monic polynomials of odd degree

Dujella, Andrej ; Pejković, Tomislav
2017.
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti

More on Diophantine sextuples

Dujella, Andrej ; Kazalicki, Matija
2017.

Cryptanalysis of RSA and Its Variants

Alilović, Martina
2017.

Triples which are D(n)-sets for several n's

Dujella, Andrej ; Adžaga, Nikola ; Kreso, Dijana ; Tadić, Petra
2017.

Absolute real root separation

Bugeaud, Yann ; Dujella, Andrej ; Pejković, Tomislav ; Salvy, Bruno
2017.

Polynomial root separation

Dujella, Andrej
2017.

Differential cryptanalysis

Gašpar, Leonora
2016.

Teorija brojeva i kriptografija

Dujella, Andrej
2016.

Rational Diophantine sextuples

Dujella, Andrej ; Kazalicki, Matija ; Mikić, Miljen ; Szikszai, Marton
2016.

What is ... a Diophantine m-tuple?

Dujella, Andrej
2016.
Notices of the American Mathematical Society

Teorija brojeva i šifriranje

Dujella, Andrej
2016.
Zadarska smotra : časopis za kulturu, znanost i umjetnost

Finiteness results for F-Diophantine sets

Berczes, Attila ; Dujella, Andrej ; Hajdu, Lajos ; Tengegy, Szabolcs
2016.
Monatshefte für Mathematik

Elliptic curves with torsion group Z/6Z

Dujella, Andrej ; Peral, Juan Carlos ; Tadić, Petra
2016.
Glasnik matematički

Diophantine quadruples in finite fields and modular forms

Dujella, Andrej ; Kazalicki, Matija
2016.

On rational Diophantine sextuples

Dujella, Andrej ; Kazalicki, Matija ; Mikić, Miljen ; Szikszai, Marton
2016.

There are infinitely many rational Diophantine sextuples

Dujella, Andrej ; Kazalicki, Matija ; Mikić, Miljen ; Szikszai, Marton
2016.

Transcendental numbers

Pošpaić, Ana-Marija
2016.

Stream Cipher RC4

Krnjak, Jelena
2016.

Elliptic curves with torsion group Z/8Z or Z/2Z × Z/6Z

Dujella, Andrej ; Peral, Juan Carlos
2015.
Contemporary mathematics - American Mathematical Society

The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t)

Dujella, Andrej ; Gusić, Ivica ; Tadić, Petra
2015.
Proceedings of the Japan Academy. Series A Mathematical sciences

II. Razred za matematičke, fizičke i kemijske znanosti

Dujella, Andrej ; Popović, Stanko
2015.
Glasnik HAZU

High-rank elliptic curves induced by Diophantine triples

Dujella, Andrej ; Peral, Juan Carlos
2015.

Block Cipher Modes of Operation

Ratkajec, Monika
2015.

NTRU Cryptosystem

Pribanić, Valentina
2015.

Number theory and cryptography

Dujella, Andrej
2015.

The non-extensibility of D (-2k+ 1)-triples {;;1, k^ 2, k^ 2+ 2k-1};;

Peker, Bilge ; Dujella, Andrej ; Cenberci, Selin
2015.
Miskolc mathematical notes

Root separation for reducible integer polynomials

Bugeaud, Yann ; Dujella, Andrej
2014.
Acta Arithmetica

On the torsion group of elliptic curves induced by D(4)-triples

Dujella, Andrej ; Mikić, Miljen
2014.
Analele Universităţii "Ovidius" Constanţa Seria Matematică

Diophantine m-tuples with elements in arithmetic progressions

Dujella, Andrej ; Saradha, Natarajan
2014.
Indagationes mathematicae

Products of three factorials

Dujella, Andrej ; Najman, Filip ; Saradha, Natarajan ; Shorey, Tarlok
2014.
Publicationes mathematicae

On quadratic twists of elliptic curves y^2=x(x-1)(x-lambda)

Dujella, Andrej ; Gusić, Ivica ; Lasić, Luka
2014.
Rad Hrvatske akademije znanosti i umjetnosti. Razred za matematičke, fizičke i kemijske znanosti. Matematičke znanosti

On the high rank π/3 and 2π/3 - congruent number elliptic curves

Janfada, Ali ; Salami, Sajad ; Dujella, Andrej ; Peral, Juan Carlos
2014.
The Rocky Mountain journal of mathematics

Ranks of elliptic curves with prescribed torsion over number fields

Bosman, Johan ; Bruin, Peter ; Dujella, Andrej ; Najman, Filip
2014.
International mathematics research notices

Elliptic curves coming from Heron tringles

Dujella, Andrej ; Peral, Juan Carlos
2014.
The Rocky Mountain journal of mathematics

High rank elliptic curves with prescribed torsion group over quadratic fields

Aguirre, Julian ; Dujella, Andrej ; Jukić Bokun, Mirela ; Peral, Juan Carlos
2014.
Periodica mathematica Hungarica

High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples

Dujella, Andrej ; Peral, Juan Carlos
2014.
LMS Journal of Computation and Mathematics

Some Diophantine properties of the sequence of S-units

Berczes, Attila ; Dujella, Andrej ; Hajdu, Lajos
2014.
Journal of number theory

Arithmetic progressions and Pellian equations

Aguirre, Julian ; Dujella, Andrej ; Peral, Juan Carlos
2013.
Publicationes mathematicae

Indefinite binary quadratic forms

Gudelj, Marija
2013.

Stream ciphers

Bencek, Mirjana Antonija
2013.

Elliptic curves and triangles with three rational medians

Dujella, Andrej ; Peral, Juan Carlos
2013.
Journal of number theory

Sumsets being squares

Dujella, Andrej ; Elsholtz, Christian
2013.
Acta mathematica Hungarica

On a variation of a congruence of Subbarao

Dujella, Andrej ; Luca, Florian
2012.
Journal of the Australian Mathematical Society (2001)

On the rank of elliptic curves coming from rational Diophantine triples

Aguirre, Julian ; Dujella, Andrej ; Peral, Juan Carlos
2012.
The Rocky Mountain journal of mathematics

On power values of pyramidal numbers

Dujella, Andrej ; Gyory, Kalman ; Pinter, Akos
2012.
Acta Arithmetica

On a problem of Diophantus for rationals

Dujella, Andrej ; Fuchs, Clemens
2012.
Journal of number theory

Internet Security

Trivić, Tihana
2012.

On the sum of two divisors of (n^2 + 1)/2

Dujella, Andrej ; Luca, Florian
2012.
Periodica mathematica Hungarica

On a conjecture regarding balancing with powers of Fibonacci numbers

Diaz Alvarado, Saul ; Dujella, Andrej ; Luca, Florian
2012.
Integers

On Hall's conjecture

Dujella, Andrej
2012.

Root separation for reducible monic quartics

Pejković, Tomislav ; Dujella, Andrej
2012.

Root separation for reducible monic quartics

Dujella, Andrej ; Pejković, Tomislav
2011.
Rendiconti del Seminario matematico dell'Universita di Padova

Solving a family of quartic Thue inequalities using continued fractions

Dujella, Andrej ; Ibrahimpašić, Bernadin ; Jadrijević, Borka
2011.
The Rocky Mountain journal of mathematics

On Hall's conjecture

Dujella, Andrej
2011.
Acta Arithmetica

Root separation for irreducible integer polynomials

Bugeaud, Yann ; Dujella, Andrej
2011.
Bulletin of the London Mathematical Society

Some Diophantine triples and quadruples for quadratic polynomials

Dujella, Andrej ; Jurasić, Ana
2011.
Journal of combinatorics and number theory

On the size of sets whose elements have perfect power n-shifted products

Berczes, Attila ; Dujella, Andrej ; Hajdu, Lajos ; Luca, Florian
2011.
Publicationes mathematicae

Mordell-Weil groups of elliptic curves over number fields of small degree

Najman, Filip ; Dujella, Andrej ; Kamienny ; Sheldon
2011.

On the size of sets in a polynomial variant of a problem of Diophantus

Dujella, Andrej ; Jurasić, Ana
2010.
International Journal of Number Theory

Smart Card Security in Banking

Mujukić, Zrinka
2010.

Quadratic Fields and Quadratic Forms

Vitković, Štefica
2010.

Sieve Methods

Oršolić, Ivana
2010.

On the rank of elliptic curves over Q(i) with torsion group Z/4Z × Z/4Z

Dujella, Andrej ; Jukić Bokun, Mirela
2010.
Proceedings of the Japan Academy. Series A Mathematical sciences

Diophantine quadruples in Z[√ -2]

Dujella, Andrej ; Soldo, Ivan
2010.
Analele Universităţii "Ovidius" Constanţa Seria Matematică

Diophantine m-tuples

Dujella, Andrej
2010.

Elliptic curves

Dujella, Andrej
2010.

Fermat Numbers

Debogović, Jelena
2009.

Digital Cash and Digital Checks

Šoufek, Tajana
2009.

Periodski verižni razlomci

Petričević, Vinko
2009.

Perfect Numbers

Orešković, Sanja
2009.

A search for high rank congruent number elliptic curves

Dujella, Andrej ; Janfada, Ali S. ; Salami, Sajad
2009.
Journal of integer sequences

A variant of Wiener's attack on RSA

Dujella, Andrej
2009.
Computing (Wien)

Micropayments

Strišković, Doris
2009.

Smart Cards

Laća, Lucija
2009.

Technologies for E-Commerce

Hladki, Ivana
2009.

Generating Random Numbers

Majetić, Anton
2009.

Strong Diophantine triples

Dujella, Andrej ; Petričević, Vinko
2009.

Elliptic equations

Dujella, Andrej
2009.

Rational Diophantine sextuples with mixed signs

Dujella, Andrej
2009.
Proceedings of the Japan Academy. Series A Mathematical sciences

Distribution of Prime Numbers

Ljaljić, Goran
2009.

Digital Signature Authentication

Janković, Iva
2008.

Polygraphic Substitution Ciphers

Bišćan, Hrvoje
2008.

On arithmetic progressions on Pellian equations

Dujella, Andrej ; Petho, Attila ; Tadić, Petra
2008.
Acta mathematica Hungarica

Strong Diophantine triples

Dujella, Andrej ; Petričević, Vinko
2008.
Experimental mathematics

Kriptografija u školi

Barun, Marija ; Dujella, Andrej ; Franušić, Zrinka
2008.
Poučak : časopis za metodiku i nastavu matematike

On Worley's theorem in Diophantine approximations

Dujella, Andrej ; Ibrahimpašić, Bernadin
2008.
Annales mathematicae et informaticae

Strong Diophantine triples

Dujella, Andrej ; Petričević, Vinko
2008.

A variant of Wiener's attack on RSA

Dujella, Andrej
2008.

RSA Cryptosystem

Dodig, Silvija
2008.

Public Key Cryptography

Fazlić, Irma
2008.

Cryptography in School

Barun, Marija
2008.

Factorization and ideals

Cikojević, Helena
2008.

Cryptosystems with Public Key

Patrčević, Darko
2008.

Convex Sets

Sulejmani, Melani
2008.

Public Key Infrastructure

Tanfara, Bruno
2008.

Solving Congruences

Varga, Danijela
2008.

Security of Bank Systems

Sučić, Ivana
2008.

On the number of Diophantine m-tuples

Dujella, Andrej
2008.
Ramanujan journal

A polynomial variant of a problem of Diophantus for pure powers

Dujella, Andrej ; Fuchs, Clemens ; Luca, Florian
2008.
International Journal of Number Theory

Decomposition of a recursive family of polynomials

Dujella, Andrej ; Gusić, Ivica
2007.
Monatshefte für Mathematik

Cryptography

Dujella, Andrej ; Maretić, Marcel
2007.

On a problem of Diophantus with polynomials

Dujella, Andrej ; Luca, Florian
2007.
The Rocky Mountain journal of mathematics

Distribution of Quadratic Residues

Novaković, Vladimir
2007.

ENIGMA

Hatala, Goran
2007.

On differences of two squares in some quadratic fields

Dujella, Andrej ; Franušić, Zrinka
2007.
The Rocky Mountain journal of mathematics

Effective solution of the D(-1)-quadruple conjecture

Dujella, Andrej ; Filipin, Alan ; Fuchs, Clemens
2007.
Acta Arithmetica

Euclidean Algorithm

Sinkić, Mirjana
2007.

On the family of Diophantine triples {;k-1, k+1, 16k^3-4k};

Bugeaud, Yann ; Dujella, Andrej ; Mignotte, Maurice
2007.
Glasgow mathematical journal

Security of Electronic Commerce

Pečenković, Tihana
2007.

Primitive Roots and Quadratic Residues

Marijan, Nikolina
2007.

Complex continued fractions

Kuzle, Ana
2007.

On the D(-1)-quadruple conjecture

Filipin, Alan ; Dujella, Andrej ; Fuchs, Clemens
2006.

Digital Watermarking

Škarijot, Danijela
2006.

Algebraic Numbers

Čulo, Nina
2006.

PGP - Pretty Good Privacy

Flego, Valentina
2006.

Markov Chain

Radulović, Maja
2006.

Modern Block Ciphers

Kantoci, Tanja
2006.

Transposition Ciphers

Miletić, Marina
2006.

Indecomposability of polynomials and related Diophantine equations

Dujella, Andrej ; Gusić, Ivica
2006.
Quarterly journal of mathematics

Diophantine m-tuples for linear polynomials. II. Equal degrees

Dujella, Andrej ; Fuchs, Clemens ; Walsh, Gary P.
2006.
Journal of number theory

Steganography

Zeljković, Sanja
2005.

Digital Signature and Digital Money

Tomić, Ana-Marija
2005.

Roth's Theorem

Pejković, Tomislav
2005.

Topological Convex Structures

Mokrović, Romana
2005.

Internet Security and SSL Protocol

Kalina, Tonći
2005.

Diophantine m-tuples

Dujella, Andrej
2005.

Complete solution of a problem of Diophantus and Euler

Dujella, Andrej ; Fuchs, Clemens
2005.
Journal of the London Mathematical Society

On the indecomposabilty of polynomials

Dujella, Andrej ; Gusić, Ivica ; Tichy, Robert
2005.
Sitzungsberichte und Anzeiger der mathematisch-naturwissenschaftlichen Klasse

Square roots with many good approximants

Dujella, Andrej ; Petričević, Vinko
2005.
Integers

Diophantine m-tuples for primes

Dujella, Andrej ; Luca, Florian
2005.
International mathematics research notices

Fibonacci numbers and sets with the property D(4)

Dujella, Andrej ; Ramasamy, A.M.S.
2005.
Bulletin of the Belgian Mathematical Society Simon Stevin

Arithmetic Functions

Bogunović, Helena
2005.

Matematičke osnove kriptografije javnog ključa

Ibrahimpašić, Bernadin
2004.

There are only finitely many Diophantine quintuples

Dujella, Andrej
2004.
Journal für die Reine und Angewandte Mathematik

History of Cryptography

Dragović, Helena
2004.

Mordell-Weil theorem

Tadić, Petra
2004.

On a problem of Diophantus and Euler

Dujella, Andrej
2004.

Vigenereova šifra

Dujella, Andrej
2004.
Math.e

A family of quartic Thue inequalities

Dujella, Andrej ; Jadrijević, Borka
2004.
Acta Arithmetica

Complete solution of the polynomial version of a problem of Diophantus

Dujella, Andrej ; Fuchs, Clemens
2004.
Journal of number theory

Bounds for the size of sets with the property D(n)

Dujella, Andrej
2004.
Glasnik matematički

Continued fractions and RSA with small secret exponent

Dujella, Andrej
2004.
Tatra mountains mathematical publications

RC6 Cryptosystem

Blažević, Irena
2004.

Shannon's Theory

Pačić, Irena
2004.

Zero-knowledge Proofs

Polić, Narcisa
2003.

On Diophantine quintuple conjecture

Dujella, Andrej
2003.

A polynomial variant of a problem of Diophantus and Euler

Dujella, Andrej ; Fuchs, Clemens
2003.
The Rocky Mountain journal of mathematics

On a problem of Diophantus for higher powers

Bugeaud, Yann ; Dujella, Andrej
2003.
Mathematical proceedings of the Cambridge Philosophical Society

Primality Testing

Ezgeta, Mia
2003.

Kneser's Theorem

Soldo, Ružica
2003.

DES Cryptosystem

Gregurić, Jadranka
2003.

Congruent numbers and elliptic curves

Petričević, Vinko
2003.

Mordell's theorem

Tadić, Petra
2003.

An interesting property of a recurrence related to the Fibonacci sequence

Dujella, Andrej ; Deshpande, M. N.
2002.
The Fibonacci quarterly

A parametric family of quartic Thue equations

Dujella, Andrej ; Jadrijević, Borka
2002.
Acta Arithmetica

Diophantine m-tuples for linear polynomials

Dujella, Andrej ; Fuchs, Clemens ; Tichy, Robert
2002.
Periodica mathematica Hungarica

Discrete Logarithm Problem

Matijević, Mario
2002.

Fibonacci Numbers and the Golden Section

Ozvačić, Dalibor
2002.

On the size of Diophantine m-tuples

Dujella, Andrej
2002.
Mathematical proceedings of the Cambridge Philosophical Society

An extension of an old problem of Diophantus and Euler. II

Dujella, Andrej
2002.
The Fibonacci quarterly

Hash Functions in Cryptography

Krulić, Tamara
2002.

Polyalphabetic Ciphers

Sesjak, Tajana
2002.

Primality Tests

Terzić, Dubravka
2002.

An example of elliptic curve over Q with rank equal to 15

Dujella, Andrej
2002.
Proceedings of the Japan Academy. Series A Mathematical sciences

An absolute bound for the size of Diophantine m-tuples

Dujella, Andrej
2001.
Journal of number theory

Diophantine equations for second order recursive sequences of polynomials

Dujella, Andrej ; Tichy, Robert F.
2001.
Quarterly journal of mathematics

Newton's formula and continued fraction expansion of sqrt(d)

Dujella, Andrej
2001.
Experimental mathematics

Diophantine m-tuples and elliptic curves

Dujella, Andrej
2001.
Journal de théorie des nombres de Bordeaux

Pierre de Fermat (1601.-1665.)

Dujella, Andrej
2001.
Matka (Zagreb)

A parametric family of elliptic curves

Dujella, Andrej
2000.
Acta Arithmetica

A note on Diophantine quintuples

Dujella, Andrej
2000.

Irregular Diophantine m-tuples and elliptic curves of high rank

Dujella, Andrej
2000.
Proceedings of the Japan Academy. Series A Mathematical sciences

Integer points on a family of elliptic curves

Dujella, Andrej ; Pethoe, A
2000.
Publicationes mathematicae

Fibonaccijevi brojevi

Dujella, Andrej
2000.

An extension of an old problem of Diophantus and Euler

Dujella, Andrej
1999.
The Fibonacci quarterly

A proof of the Hoggatt-Bergum conjecture

Dujella, Andrej
1999.
Proceedings of the American Mathematical Society

Diophantine quadruples and quintuples modulo 4

Dujella, Andrej
1998.
Notes on number theory and discrete mathematics

Complete solution of a family of simultaneous Pellian equations

Dujella, Andrej
1998.
Acta Mathematica et Informatica Universitatis Ostraviensis

A generalization of a theorem of Baker and Davenport

Dujella, Andrej ; Pethö, Attila
1998.
Quarterly journal of mathematics

Some estimates of the number of Diophantine quadruples

Dujella, Andrej
1998.
Publicationes mathematicae

The problem of the extension of a parametric family of Diophantine triples

Dujella, Andrej
1997.
Publicationes mathematicae

The problem of Diophantus and Davenport for Gaussian integers

Dujella, Andrej
1997.
Glasnik matematički

The problem of Diophantus and Davenport

Dujella, Andrej
1997.
Mathematical communications

On Diophantine quintuples

Dujella, Andrej
1997.
Acta Arithmetica

Matematička natjecanja učenika srednjih škola (izbor zadataka)

Bombardelli, Mea ; Dujella, Andrej ; Slijepčević, Siniša
1996.

Generalized Fibonacci numbers and the problem of Diophantus

Dujella, Andrej
1996.
The Fibonacci quarterly

Some polynomial formulas for Diophantine quadruples

Dujella, Andrej
1996.
Grazer Mathematische Berichte

Diophantine quadruples for squares of Fibonacci and Lucas numbers

Dujella, Andrej
1995.
Portugaliae mathematica

Generalization of a problem of Diophantus

Dujella, Andrej
1993.
Acta Arithmetica
More information about publications

List of select publications

A. Dujella: Diophantine m-tuples and Elliptic Curves, Springer, Cham, 2024.

A. Dujella: Number Theory, Školska knjiga, Zagreb, 2021.

A. Dujella, M. Kazalicki, M. Mikić and M. Szikszai, There are infinitely many rational Diophantine sextuples, Int. Math. Res. Not. IMRN 2017 (2) (2017), 490-508.

A. Dujella, There are only finitely many Diophantine quintuples, J. Reine Angew. Math. 566 (2004), 183-214.

A. Dujella and A. Petho, A generalization of a theorem of Baker and Davenport, Quart. J. Math. Oxford Ser. (2), 49 (1998), 291-306.

Professional memberships

Croatian Mathematical Society 

American Mathematical Society 

The Fibonacci Association

International Association for Cryptologic Research

List of select projects

Diophantine m-tuples, elliptic curves, Thue and index form equations (supported by the Croatian Science Foundation), 2014-2018

Diophantine Equations and Elliptic Curves (supported by the Croatian Ministry of Science, Education and Sport), 2007-2013

 

Past employments

1990-1993   Teaching Fellow, Department of Mathematics, University of Zagreb, Croatia

1993-1997   Teaching Assistant, Department of Mathematics, University of Zagreb, Croatia

1997-2000   Assistant Professor, Department of Mathematics, University of Zagreb, Croatia

2000-2004   Associate Professor, Department of Mathematics, University of Zagreb, Croatia

2004-            Professor, Department of Mathematics, University of Zagreb, Croatia

Hobbies and interests

singing