English

First order p-adic deformations of weight one newforms

Number Theory 2019-03-08 v1

Abstract

This article studies the first-order pp-adic deformations of classical weight one newforms, relating their fourier coefficients to the pp-adic logarithms of algebraic numbers in the field cut out by the associated projective Galois representation.

Keywords

Cite

@article{arxiv.1903.02818,
  title  = {First order p-adic deformations of weight one newforms},
  author = {Henri Darmon and Alan Lauder and Victor Rotger},
  journal= {arXiv preprint arXiv:1903.02818},
  year   = {2019}
}
R2 v1 2026-06-23T08:00:54.116Z