A note on critical $p$-adic $L$-functions

Yiwen Ding

A note on critical $p$-adic $L$-functions

Number Theory 2019-12-02 v1

Authors: Yiwen Ding

Abstract

We study the adjunction property of the Jacquet-Emerton functor in certain neighborhoods of critical points in the eigencurve. As an application, we construct two-variable $p$ -adic $L$ -functions around critical points via Emerton's representation theoretic approach.

Keywords

p-adic analysis

Cite

@article{arxiv.1911.13022,
  title  = {A note on critical $p$-adic $L$-functions},
  author = {Yiwen Ding},
  journal= {arXiv preprint arXiv:1911.13022},
  year   = {2019}
}

Comments

19 pages, to appear in Acta Mathematica Sinica, English Serie (Special Issue on Arithmetic Geometry)

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