Sturm type theorem for Siegel modular forms of genus 2 modulo p

Dohoon Choi, YoungJu Choie, Toshiyuki Kikuta

Type: Article

Publication Date: 2013-01-01

Citations: 14

DOI: https://doi.org/10.4064/aa158-2-2

Abstract

Suppose that $f$ is an elliptic modular form with integral coefficients. Sturm obtained bounds for a nonnegative integer $n$ such that every Fourier coefficient of $f$ vanishes modulo a prime $p$ if the first $n$ Fourier coefficients of $f$ are zero modul

Locations

Acta Arithmetica - View - PDF

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Works Cited by This (17)

Action	Title	Year	Authors
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono
+	On the congruence of modular forms	1987	Jacob Sturm
+	On Siegel modular forms of level p and their properties mod p	2010	Siegfried Böcherer Shōyū Nagaoka
+	On the congruences of Jacobi forms	2007	Dong‐Soo Choi YoungJu Choie
+	On mod p properties of Siegel modular forms	2007	Siegfried Böcherer Shōyū Nagaoka
+	On the Ring of Modular Forms of Degree Two Over Z	1979	Jun-ichi Igusa
+	The critical values of zeta functions associated to the symplectic group	1981	Jacob Sturm
+	Paramodular cusp forms	2014	Cris Poor David S. Yuen
+	Note on mod p Siegel modular forms II	2005	Shōyū Nagaoka
+	Siegel's modular forms and the arithmetic of quadratic forms	1980	Hiroyuki Yoshida