On higher congruences between cusp forms and Eisenstein series

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.

20 pages

References in corpus (2)

• Remarks on Tsfasman-Boguslavsky Conjecture and Higher Weights of Projective Reed-Muller Codes
• On modular Galois representations modulo prime powers

Cited by in corpus (1)

• Higher congruences between newforms and Eisenstein series of squarefree level