Note on Igusa's cusp form of weight 35
Toshiyuki Kikuta, Hirotaka Kodama, Shoyu Nagaoka
TL;DR
This paper presents a congruence relation for Igusa's cusp form of weight 35 and introduces a Sturm-type theorem for odd-weight Siegel modular forms of degree 2 to verify it.
Contribution
It provides the first explicit congruence relation for Igusa's cusp form of weight 35 and develops a Sturm-type theorem applicable to odd-weight Siegel modular forms.
Findings
Established a congruence relation for Igusa's cusp form of weight 35
Developed a Sturm-type theorem for odd-weight Siegel modular forms of degree 2
Validated the congruence relation using the Sturm-type theorem
Abstract
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 modular forms of degree 2 is included.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research