arXiv Open Access 2023

Prolongement analytique de fonctions $ζ$ et de fonctions $L$

Pierre Colmez

Lihat Sumber

Abstrak

Wiles' work on Fermat's last Theorem highlighted the power of $p$-adic methods to prove the existence of analytic continuations of $ζ$ and $L$ functions. These methods have become considerably more sophisticated in recent years, and have produced a wealth of beautiful results: Hasse--Weil conjecture for genus $2$ curves, holomorphy of $L$-functions of symmetric powers of modular forms, etc. We present some of these advances.

Topik & Kata Kunci

math.NT math.HO math.RT

Penulis (1)

Pierre Colmez

Format Sitasi

APA MLA BibTeX

Colmez, P. (2023). Prolongement analytique de fonctions $ζ$ et de fonctions $L$. https://arxiv.org/abs/2311.15905

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓