English

On higher congruences between cusp forms and Eisenstein series

Number Theory 2014-07-16 v3

Abstract

In this paper we present several finite families of congruences between cusp forms and Eisenstein series of higher weights at powers of prime ideals. We formulate a conjecture which describes properties of the prime ideals and their relation to the weights. We check the validity of the conjecture on several numerical examples.

Keywords

Cite

@article{arxiv.1206.1881,
  title  = {On higher congruences between cusp forms and Eisenstein series},
  author = {Bartosz Naskręcki},
  journal= {arXiv preprint arXiv:1206.1881},
  year   = {2014}
}

Comments

20 pages

R2 v1 2026-06-21T21:16:37.143Z