English

Critical p-adic L-function

Number Theory 2009-12-16 v1

Abstract

We attach p-adic L-functions to critical modular forms and study them. We prove that those L-functions fit in a two-variables p-adic L-function defined locally everywhere on the eigencurve.

Keywords

Cite

@article{arxiv.0912.2925,
  title  = {Critical p-adic L-function},
  author = {Joel Bellaiche},
  journal= {arXiv preprint arXiv:0912.2925},
  year   = {2009}
}

Comments

44 pages

R2 v1 2026-06-21T14:24:08.110Z