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math.NT2012
Note on Igusa's cusp form of weight 35
Toshiyuki Kikuta, Hirotaka Kodama, Shoyu Nagaoka
A congruence relation satisfied by Igusa's cusp form of weight 35 is presented. As a tool to confirm the congruence relation, a Sturm-type theorem for the case of odd-weight Siegel…
math.NT2012
Ramanujan type congruences for modular forms of several variables
Toshiyuki Kikuta, Shoyu Nagaoka
We give congruences between the Eisenstein series and a cusp form in the cases of Siegel modular forms and Hermitian modular forms. We should emphasize that there is a relation bet…