English

On the level raising of cuspidal eigenforms modulo prime powers

Number Theory 2018-11-15 v1

Abstract

In this article we prove level raising for cuspidal eigenforms modulo prime powers (for odd primes) of weight k2k\geq 2 and arbitrary character, extending the result in weight two established by the work of Tsaknias and Wiese and generalizing (partially) Diamond-Ribet's celebrated level raising theorems.

Keywords

Cite

@article{arxiv.1811.05702,
  title  = {On the level raising of cuspidal eigenforms modulo prime powers},
  author = {Emiliano Torti},
  journal= {arXiv preprint arXiv:1811.05702},
  year   = {2018}
}
R2 v1 2026-06-23T05:15:00.995Z