Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes

Antonio Lei

Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes

Number Theory 2024-04-03 v1

Authors: Antonio Lei

Abstract

Let $p$ be an odd prime number. Let $f$ be a normalized Hecke eigen-cuspform that is non-ordinary at $p$ . Let $K$ be an imaginary quadratic field in which $p$ splits. We study the Artin formalism for the two-variable signed $p$ -adic $L$ -functions attached to $f$ over $K$ . In particular, we give evidence of a prediction made by Castella--Ciperiani--Skinner--Sprung.

Keywords

Artin formalism $p$-adic $L$-function modular forms non-ordinary primes Iwasawa theory

Cite

@article{arxiv.2404.01835,
  title  = {Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes},
  author = {Antonio Lei},
  journal= {arXiv preprint arXiv:2404.01835},
  year   = {2024}
}

Related papers

View all related →