Abstract
We derive for Hecke-Maass cusp forms on the full modular group a relation between the sum of the form at Heegner points (and integrals over Heegner cycles) and the product of two Fourier coefficients of a corresponding form of half-integral weight. Specializing to certain cycles we obtain the nonnegativity of the L-function of such a form at the center of the critical strip. These results generalize similar formulae known for holomorphic forms.
Original language | English (US) |
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Pages (from-to) | 193-227 |
Number of pages | 35 |
Journal | Israel Journal of Mathematics |
Volume | 84 |
Issue number | 1-2 |
DOIs | |
State | Published - Feb 1 1993 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)