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math.NT2023
On -adic Siegel Eisenstein series from a point of view of the theory of mod singular forms
Siegfried Boecherer, Toshiyuki Kikuta
We show that the -adic Siegel Eisenstein series of general degree attached to two kind of number sequences are both linear combinations of genus theta series of level , by ap…
math.NT2023
Structure theorem for mod singular Siegel modular forms
Siegfried Boecherer, Toshiyuki Kikuta
We prove that all mod singular forms of level , degree , and -rank with are congruent mod to linear combinations of theta series of degree a…