Maass forms and their L-functions

2005/06/06 by David W. Farmer, Stefan Lemurell, Farmer, David W. +1
Mathematics · #11F11 #11M26 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F11 #msc:11M26

paper · pdf · doi:10.48550/arxiv.math/0506102

14 pages, 9 figures

arxiv created 2005/06/06 · arxiv updated 2009/12/01

Abstract

We present examples of Maass forms on Hecke congruence groups, giving low eigenvalues on Γ₀(p) for small prime p, and the first 1000 eigenvalues for Γ₀(11). We also present calculations of the L-functions associated to the Maass forms and make comparisons to the predictions from random matrix theory.

Related

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• Non-vanishing of Maass form L-functions at the critical point
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• Period functions for Maass cusp forms for Γ₀(p): a transfer operator approach