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

Antonio Lei

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arXiv · 2404.01835

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

Antonio Lei

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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.

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Antonio Lei. 2024-04-02. Artin formalism for $p$-adic $L$-functions of modular forms at non-ordinary primes. https://arxiv.org/abs/2404.01835

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