STNB2019 (33rd edition)

On the level raising of cuspidal eigenforms modulo prime powers.

Emiliano Torti

Abstract

In this article we prove level raising for cuspidal eigenforms modulo prime powers (for odd primes) of weight k 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.

Here is the ArXiv link: https://arxiv.org/abs/1811.05702