Prime geodesics and averages of the Zagier L-series-Reference-Cited by-同舟云学术

Prime geodesics and averages of the Zagier L-series

Published:2021-05-11 Issue: Volume: Page:1-24
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

BALKANOVA OLGA,FROLENKOV DMITRY,RISAGER MORTEN S.

Abstract

Abstract The Zagier L-series encode data of real quadratic fields. We study the average size of these L-series, and prove asymptotic expansions and omega results for the expansion. We then show how the error term in the asymptotic expansion can be used to obtain error terms in the prime geodesic theorem.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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