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• W2009083140 abstract "Abstract We derive an elementary formula for the trace of a Hecke operator acting on a space of algebraic modular forms, as a sum of character values. We describe explicit computations in the case of the unitary group that make possible the determination of the eigenvalues of a certain Hecke operator. This produces numerical evidence for a analogue of Harder’s conjecture, on congruences between Hecke eigenvalues modulo divisors of critical L-values. 2000 AMS Subject Classification: 11F3311F55Keywords: algebraic modular formsHarder’s conjecturetrace formula Acknowledgments I thank G. Harder, D. Loeffler, and J. Tilouine, whose helpful contributions have been noted at various points, and H. Katsurada for directing me to his preprint [CitationKatsurada 10]. Notes 1For this fact, see the L-functions and modular forms database, available at http://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/3/9/1/ ." @default.
• W2009083140 created "2016-06-24" @default.
• W2009083140 creator A5023191996 @default.
• W2009083140 date "2013-04-03" @default.
• W2009083140 modified "2023-09-25" @default.
• W2009083140 title "A Simple Trace Formula for Algebraic Modular Forms" @default.
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• W2009083140 doi "https://doi.org/10.1080/10586458.2013.737184" @default.
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