The Modular Approach to Diophantine Equations

By Samir Siksek. 2007

48 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5a1f1e28b539685820fa7ba250304322965f948a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Yann Bugeaud
2. Samir Siksek
3. Maurice Mignotte
4. Boris Adamczewski
5. Nimish A. Shah

In Geometry and Topology

1. Samir Siksek
2. Maurice Mignotte
3. Yann Bugeaud
4. Netan Dogra
5. Jennifer S. Balakrishnan
6. Florian Luca
7. Alain Togbé
8. Volker Ziegler

Citations in the corpus

• Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation (2004, background): “Furthermore, (1) has been solved for some negative values of D of the form D = −a2 ± 1, including D = −1 and D = −8 (see, for example, [Ivo03, Sik03]).”