Raising the level at your favorite prime

TL;DR

This paper proves a level raising theorem for certain weight 2 newforms at almost every prime, focusing on the level raising phenomenon without regard to the residue characteristic.

Contribution

It introduces a novel approach to level raising that ignores the residue characteristic, expanding understanding of modular forms at various primes.

Findings

Proves level raising for weight 2 trivial character newforms at almost all primes.

Establishes a method that does not depend on the residue characteristic.

Enhances the theoretical framework for modular form level raising.

Abstract

In this paper we prove a level raising theorem for some weight $2$ trivial character newforms at almost every prime $p$. This is done by ignoring the residue characteristic at which the level raising appears.