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math.NT2026
The Eichler--Selberg trace formula for Hilbert cusp forms, the class numbers of quartic CM fields, and their distributions
Seiji Kuga, Andrei Seymour-Howell, Satoshi Wakatsuki
Motivated by Su's construction of Cohen-type Eisenstein series of half-integral weight over totally real number fields \cite{Su16}, we introduce a generalization of Hurwitz class n…
math.NT2024
Murmurations of Maass forms
Andrew R. Booker, Min Lee, David Lowry-Duda +2
We prove the existence of murmurations in the family of Maass forms of weight 0 and level 1 with their Laplace eigenvalue parameter going to infinity (i.e., correlations between th…
math.NT2022
Rigorous computation of Maass cusp forms of squarefree level
Andrei Seymour-Howell
We derive an algorithm to rigorously compute and verify Maass cusp forms of squarefree level and trivial character. The main tool we use is an explicit version of the Selberg trace…