[图书][B] Linear forms in logarithms and applications

Y Bugeaud - 2018 - ems.press
This series is devoted to the publication of research monographs, lecture notes, and other
material arising from programs of the Institut de Recherche Mathématique Avancée …

Hyperelliptic curves and newform coefficients

S Dembner, V Jain - Journal of Number Theory, 2021 - Elsevier
We study which integers are admissible as Fourier coefficients of even integer weight
newforms. In the specific case of the tau-function, we show that for all odd primes ℓ< 100 and …

The modular approach to Diophantine equations over totally real fields

M Khawaja, S Siksek - arXiv preprint arXiv:2401.03099, 2024 - arxiv.org
Wiles' proof of Fermat's last theorem initiated a powerful new approach towards the
resolution of certain Diophantine equations over $\mathbb {Q} $. Numerous novel obstacles …