Answers are grounded in this paper and cite their sources.
This analysis reveals recursion formulas for fourier coefficients in siegel eisenstein series, indicating new decomposition methods for ramified siegel series.
In this paper we treat the Fourier coefficients of Siegel Eisenstein series of level p with trivial or quadratic character, for an odd prime p. The Euler p-factor of the Fourier coefficient is called the ramified Siegel series. First we show that the ramified Siegel series attached to each cusp can be decomposed to $U(p)$-eigenfunctions explicitly, next we give recursion formulas of such $U(p)$-characteristic ramified Siegel series.
No takes yet. Share an insight, caveat, or question.
Keiichi Gunji (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: