On the trace of Hecke operators for Maass forms for congruence subgroups

JB Conrey, XJ Li

Research output: Contribution to journalArticle (Academic Journal)peer-review

4 Citations (Scopus)

Abstract

Let E-lambda be a Hilbert space, whose elements are functions spanned by the eigenfunctions of the Laplace-Beltrami operator associated with an eigenvalue lambda > 0. The norm of elements in this space is given by the Petersson inner product. In this paper, the trace of Hecke operators T-n acting on the space E-lambda is computed for congruence subgroups Gamma (0)(N) of square free level, which may be considered as the analogue of the Eichler-Selberg trace formula [11] for non-holomorphic cusp forms of weight zero.
Translated title of the contributionOn the trace of Hecke operators for Maass forms for congruence subgroups
Original languageEnglish
Pages (from-to)447 - 484
JournalForum Mathematicum
Volume13 (4)
Publication statusPublished - 2001

Bibliographical note

Publisher: Walter de Gruyter & Co
Other identifier: IDS Number: 444LC

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