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Heights and L-Series

Published online by Cambridge University Press:  20 November 2018

Rhonda Lee Hatcher
Rhonda Lee Hatcher*
Affiliation:
Mathematics Department St. Olaf College Northfield, MN 55057
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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

Keywords

11M9911G40
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 3 , 01 June 1990 , pp. 533 - 560
Copyright
Copyright © Canadian Mathematical Society 1990

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