2 papers
math.NT2025
An asymptotic formula of spectral average of central -values on for square free levels
Seiji Kuga, Masao Tsuzuki
We develop a new kind of relative trace formulas on involving the Bessel periods and the Rankin-Selberg type integral a la Piatetski-Shapiro for Siegel cusp forms on…
math.NT2025
The Ranking-Selberg integral on for square free levels
Seiji Kuga, Masao Tsuzuki
We explicitly compute the Rankin-Selberg type integral introduced by Piatetski-Shapiro over adeles for vector-valued Siegel cusp forms of square-free levels . On the way,…