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Periods of Modular Forms
The Special Values Associated to Cuspidal Groups
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abelian group action Af(x aQ(f Chapter character of conductor cocycle cohomology class conductor prime congruence group congruences satisfied constant term Corollary cusp form cusp form f cuspidal group Dedekind sum denote distribution law Div cusps divisor eigenfunction Eisenstein prime Eisenstein prime associated Eisenstein series exact sequence explicit formula fE(x Fourier expansion functional equation Gal(Q/Q Galois group of type hardcover Hecke algebra Hecke operators Hence homology homomorphism integral ISBN isomorphism L-functions attached lemma Let a e Let f meromorphic function modN modular curve modular form modular symbol modulo nonexceptional nontrivial primitive Dirichlet Odd quadratic characters p-adic L-function paperback PM Periods f prime ideal prime of Q primitive Dirichlet character Proof Proposition prove q-expansion quadratic characters A(X Re(s residual characteristic sgn(E space of weight subgroup Suppose T-module Theorem universal special value values of L-functions weight 2 modular