Affiliation:
1. Department of Mathematics Boston College Chestnut Hill Massachusetts USA
2. Department of Mathematics Uppsala University Uppsala Sweden
Abstract
AbstractIn this work, we give an explicit formula for the Fourier coefficients of Eisenstein series corresponding to certain arithmetic lattices acting on hyperbolic ‐space. As a consequence, we obtain results on location of all poles of these Eisenstein series as well as their supremum norms. We use this information to get new results on counting rational points on spheres.
Funder
National Science Foundation
Knut och Alice Wallenbergs Stiftelse
Cited by
1 articles.
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