On higher congruences between cusp forms and Eisenstein series
classification
🧮 math.NT
keywords
congruencesconjecturecuspeisensteinformshigheridealsprime
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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.
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