Derives an Eichler-Selberg trace formula expressing traces of Hecke operators on Hilbert cusp forms in terms of generalized Hurwitz class numbers defined via class numbers of quartic CM fields.
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2026 2verdicts
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Proves asymptotic formula for weighted Riesz means of Hurwitz and real quadratic class numbers via new L-functions for sesquiharmonic Maass forms, generalizing prior mock modular form results.
citing papers explorer
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The Eichler--Selberg trace formula for Hilbert cusp forms, the class numbers of quartic CM fields, and their distributions
Derives an Eichler-Selberg trace formula expressing traces of Hecke operators on Hilbert cusp forms in terms of generalized Hurwitz class numbers defined via class numbers of quartic CM fields.
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Riesz Means of Quadratic Class Numbers
Proves asymptotic formula for weighted Riesz means of Hurwitz and real quadratic class numbers via new L-functions for sesquiharmonic Maass forms, generalizing prior mock modular form results.