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Diophantine M-Tuples and Elliptic Curves

Dujella, Andrej

1, 2024

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Construction of High Rank Elliptic Curves

The Journal of geometric analysis, 2021-07, Vol.31 (7), p.6698-6724

2021

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Diophantine m-tuples in finite fields and modular forms

Research in number theory, 2021-03, Vol.7 (1), Article 3

2021

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Extensions of a Diophantine triple by adjoining smaller elements II

Periodica mathematica Hungarica, 2024-09, Vol.89 (1), p.54-60

2024

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On elliptic curves induced by rational Diophantine quadruples

Proceedings of the Japan Academy. Series A. Mathematical sciences, 2022-01, Vol.98 (1), p.1-6

2022

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Doubly regular Diophantine quadruples

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2020-10, Vol.114 (4), Article 189

2020

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

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2020, Vol.114 (1), Article 21

2020

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Extensions of a Diophantine Triple by Adjoining Smaller Elements

Mediterranean journal of mathematics, 2022-08, Vol.19 (4), Article 187

2022

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D(n)-quintuples with square elements

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2021-10, Vol.115 (4), Article 172

2021

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

Periodica mathematica Hungarica, 2022, Vol.85 (2), p.303-311

2022

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Diophantine triples with largest two elements in common

Periodica mathematica Hungarica, 2021-03, Vol.82 (1), p.56-68

2021

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

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2021, Vol.115 (4)

2021

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What is a Diophantine $m$-tuple?

Notices of the American Mathematical Society, 2016-08, Vol.63 (7), p.772-774

Dujella, Andrej

2016

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Absolute Real Root Separation

The American mathematical monthly, 2017-12, Vol.124 (10), p.930-936

2017

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

Banach Center publications, 2023, Vol.126, p.9-26

Dujella, Andrej

2023

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, 2014-06, Vol.22 (2), p.79-90

2014

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On fundamental units of real quadratic fields of class number 1

Archiv der Mathematik, 2019-10, Vol.113 (4), p.349-353

2019

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There are only finitely many Diophantine quintuples

Journal für die reine und angewandte Mathematik, 2004-02, Vol.2004 (566), p.183-214

Dujella, A.

2004

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

Acta arithmetica, 2007, Vol.128 (4), p.319-338

2007

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ON THE FAMILY OF DIOPHANTINE TRIPLES {k − 1, k + 1, 16k 3 − 4k}

Glasgow mathematical journal, 2007-05, Vol.49 (2), p.333-344

2007

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Lie Groups, Number Theory, and Vertex Algebras

1, 2021

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Rational Diophantine sextuples with square denominators

Journal of number theory, 2019-12, Vol.205, p.340-346

2019

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A proof of the Hoggatt-Bergum conjecture

Proceedings of the American Mathematical Society, 1999-07, Vol.127 (7), p.1999-2005

Dujella, Andrej

1999

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Root separation for reducible integer polynomials

Acta arithmetica, 2014, Vol.162 (4), p.393-403

2014

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On the Rank of Elliptic Curves in Elementary Cubic Extensions

Journal of Numbers, 2015-10, Vol.2015, p.1-4

2015

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Diophantine M-Tuples and Elliptic Curves

Construction of High Rank Elliptic Curves

Diophantine m-tuples in finite fields and modular forms

Extensions of a Diophantine triple by adjoining smaller elements II

On elliptic curves induced by rational Diophantine quadruples

Doubly regular Diophantine quadruples

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

Extensions of a Diophantine Triple by Adjoining Smaller Elements

D(n)-quintuples with square elements

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

Diophantine triples with largest two elements in common

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

What is a Diophantine $m$-tuple?

Absolute Real Root Separation

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

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

On fundamental units of real quadratic fields of class number 1

There are only finitely many Diophantine quintuples

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

ON THE FAMILY OF DIOPHANTINE TRIPLES {k − 1, k + 1, 16k 3 − 4k}

Lie Groups, Number Theory, and Vertex Algebras

Rational Diophantine sextuples with square denominators

A proof of the Hoggatt-Bergum conjecture

Root separation for reducible integer polynomials

On the Rank of Elliptic Curves in Elementary Cubic Extensions

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