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arXiv:1206.1881 [math.NT]AbstractReferencesReviewsResources

On higher congruences between cusp forms and Eisenstein series

Bartosz Naskręcki

Published 2012-06-08, updated 2013-06-29Version 3

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.

Comments: 20 pages
Journal: Computations with Modular Forms, Contributions in Mathematical and Computational Sciences Volume 6, 2014, pp 257-277
Categories: math.NT
Subjects: 11F11, 11F33
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