A generalization of a theorem of Hecke for \(\mathrm{SL}_2(\mathbb{F}_p)\) to fundamental discriminants

DOI10.1016/J.JNT.2019.04.009zbMath1466.11025OpenAlexW2945937780MaRDI QIDQ2329264

Corina B. Panda

Publication date: 17 October 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.04.009

zbMATH Keywords

fixed pointsclass numberLefschetz numberimaginary quadratic fieldmodular curvefundamental discriminantHecke

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Modular and Shimura varieties (14G35) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾
• Selberg zeta functions with virtual characters and the class number
• L-Indistinguishability For SL (2)
• Representations of SL (2, p)
• A Generalization of a Theorem of Hecke

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