AN APPLICATION OF THE MODULAR METHOD AND THE SYMPLECTIC ARGUMENT TO A LEBESGUE–NAGELL EQUATION

Author:

Koutsianas Angelos1

Affiliation:

1. Department of MathematicsThe University of British Columbia1984 Mathematics Road Vancouver British Columbia Canada V6T 1Z2

Funder

Natural Sciences and Engineering Research Council of Canada

Publisher

Wiley

Subject

General Mathematics

Reference54 articles.

1. A.Alvarado A.Koutsianas B.Malmskog C.Rasmussen C.VincentandM.West A robust implementation for solving theS‐unit equation and several applications.Preprint 2019.https://arxiv.org/abs/1903.00977.

2. On the Diophantine equation x2+2k=yn;Arif S. A.;Int. J. Math. Math. Sci.,1997

3. The Diophantine equation x2+3m=yn;Arif S. A.;Int. J. Math. Math. Sci.,1998

4. C. F.Barros On the Lebesgue–Nagell equation and related subjects.PhD Thesis University of Warwick 2010.https://homepages.warwick.ac.uk/~maseap/theses/carlosphd.pdf.

5. Sums of two cubes as twisted perfect powers, revisited

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1. Some exponential Diophantine equations III: a new look at the generalized Lebesgue–Nagell equation;Boletín de la Sociedad Matemática Mexicana;2024-04-08

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3. Differences between perfect powers: The Lebesgue-Nagell equation;Transactions of the American Mathematical Society;2022-10-24

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