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

• Autorzy: Dohoon Choi , YoungJu Choie , Toshiyuki Kikuta
• Języki publikacji: EN

Abstrakty

EN

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 modulo p. In the present note, we study analogues of Sturm's bounds for Siegel modular forms of genus 2. As an application, we study congruences involving an analogue of Atkin's U(p)-operator for the Fourier coefficients of Siegel modular forms of genus 2.

Kategorie tematyczne

• 11F33: Congruences for modular and p -adic modular forms
• 11F46: Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2013
• Tom: 158
• Numer: 2
• Strony: 129-139

Daty

wydano

2013

Twórcy

autor

Dohoon Choi

• School of Liberal Arts and Sciences, Korea Aerospace University, 200-1, Hwajeon-dong, Goyang, Gyeonggi 412-791, Korea

autor

YoungJu Choie

• Department of Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Korea

autor

Toshiyuki Kikuta

• Department of Mathematics, Interdisciplinary Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, 577-8502, Japan

Identyfikatory

DOI

10.4064/aa158-2-2