2 papers
math.NT2017
On the kernel of the theta operator mod p
Siegfried Boecherer, Hirotaka Kodama, Shoyu Nagaoka
We construct many examples of level one Siegel modular forms in the kernel of theta operators mod by using theta series attached to positive definite quadratic forms.
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…