Heights and L-Series

Hatcher, Rhonda Lee

Canadian journal of mathematics, Tome 42 (1990) no. 3, pp. 533-560

Résumé

Let be a cusp form of weight 2k and trivial character for Γ0(N), where N is prime, which is orthogonal with respect to the Petersson product to all forms g(dz), where g is of level L < N, dL\N. Let K be an imaginary quadratic field of discriminant — D where the prime N is inert. Denote by ∊ the quadratic character of determined by ∊ (p) = (—D/p) for primes p not dividing D. For A an ideal class in K, let rA(m) be the number of integral ideals of norm m in A. We will be interested in the Dirichlet series L(f,A,s) defined by

Détail

DOI : 10.4153/CJM-1990-028-x

Mots-clés : 11M99, 11G40

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