On cubic Thue equations and the indices of algebraic integers in cubic fields (original) (raw)

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Abdelmejid Bayad

arXiv (Cornell University), 2018

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Dilek Dilsizoğlu

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Adam Klepáč

2021

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Manisha Kulkarni

1999

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Karolina Chałupka

2021

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Automorphic forms and cubic twists of elliptic curves

Daniel Lieman

arXiv: Number Theory, 1994

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On a family of cubics

Nikos Tzanakis

Journal of Number Theory, 1991

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On Large Rational Solutions of Cubic Thue Equations

Jon Middleton

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A Note About The Determination of Integer Coordinates of Elliptic Curves -Part II, v1

Abdelmajid Ben Hadj Salem

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Elliptic curves induced by Diophantine triples

Andrej Dujella

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018

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A parametric family of cubic Thue equations

Alain Togbé

Journal of Number Theory, 2004

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Ragni Piene

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Julián Aguirre, Juan Carlos Peral, Andrej Dujella

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On the Diophantine equations X^3+Y^3+Z^3+aU^k=a_0U_0^t_0+...+a_nU_n^t_n, k=3,4

farzali izadi

2017

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Attila Pethő, Andrej Dujella

Publ. Math. Debrecen, 2000

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Elliptic Curves, Conics and Cubic Congruences Associated with Indefinite Binary Quadratic Forms

OSMAN BİZİM

2008

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On the elliptic curves of the form $ y^2=x^3-3px $

hassan daghigh

Bulletin of The Iranian Mathematical Society, 2014

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Simplest cubic fields

Attila Pethő

Manuscripta Mathematica, 1995

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On ternary Diophantine equations of signature over number fields

Yasemin Kara

Canadian Journal of Mathematics

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Tomek Jedrzejak

Colloquium Mathematicum, 2012

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A Note About the Determination of The Integer Coordinates of An Elliptic Curve: Part I

Abdelmajid Ben Hadj Salem

2018

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The cubics which are differences of two conjugates of an algebraic integer

Toufik Zaimi

Journal de Théorie des Nombres de Bordeaux, 2005

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On twists of the Fermat cubic x^3+y^3=2

Tomek Jedrzejak

International Journal of Number Theory 01/2014; 10(1):55-72.

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Diophantine Triples and Construction of High-Rank Elliptic Curves over bfQbf QbfQ with Three NonTrivial 2Torsion Points

Andrej Dujella

Rocky Mountain Journal of Mathematics, 2000

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Integral points on a class of elliptic curve

Huilin Zhu

Wuhan University Journal of Natural Sciences, 2006

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A Note on Cubic Modular Equations of Degree Two

M. S. Mahadeva Naika

2006

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Some Diophantine problems

Gregory Chudnovsky

Contributions to the Theory of Transcendental Numbers, 1984

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#A10 Integers 19 (2019) Elliptic Curves Arising from the Triangular Numbers

Abhishek Juyal

2019

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High rank elliptic curves induced by rational Diophantine triples

Andrej Dujella

Glasnik Matematicki, 2020

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Elliptic curves related with triangles

Soonhak Kwon

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1996

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Elliptic Curves Satisfying the Birch and Swinnerton–Dyer Conjecture mod 3

Kevin James

Journal of Number Theory, 1999

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Sajad Salami, Andrej Dujella

Rocky Mountain J. Math., 2014

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Andrej Dujella

Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM , 2017

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Rank zero elliptic curves induced by rational Diophantine triples

Andrej Dujella

Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti, 2020

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