Modular symbols, Eisenstein series, and congruences

Let E and f be an Eisenstein series and a cusp form, respectively, of the same weight k ≥ 2 and of the same level N, both eigenfunctions of the Hecke operators, and both normalized so that a₁ = 1. The main result we seek is that when E and f are congruent mod a prime p (which may be a prime ideal ly...

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Bibliographic Details
Main Author: Heumann, Jay
Language:English
Published: University of British Columbia 2013
Online Access:http://hdl.handle.net/2429/44419