3 papers
math.RT2026
On the absolute convergence of the spectral side of the twisted trace formula
Werner Müller, Satoshi Wakatsuki
We establish the absolute convergence of the spectral side of the twisted trace formula for reductive algebraic groups. More precisely, we extend the absolute convergence theorem o…
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.NT2025
Asymptotic behavior for twisted traces of self-dual and conjugate self-dual representations of
Yugo Takanashi, Satoshi Wakatsuki
In this paper, we study the asymptotic behavior of the sum of twisted traces of self-dual or conjugate self-dual discrete automorphic representations of for the lev…