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

Dohoon Choi, YoungJu Choie, and Toshiyuki Kikuta. "Sturm type theorem for Siegel modular forms of genus 2 modulo p." Acta Arithmetica 158.2 (2013): 129-139. <http://eudml.org/doc/279499>.

@article{DohoonChoi2013,
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 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.},
author = {Dohoon Choi, YoungJu Choie, Toshiyuki Kikuta},
journal = {Acta Arithmetica},
keywords = {Siegel modular form; Sturm's theorem; congruences modulo ; Witt operator},
language = {eng},
number = {2},
pages = {129-139},
title = {Sturm type theorem for Siegel modular forms of genus 2 modulo p},
url = {http://eudml.org/doc/279499},
volume = {158},
year = {2013},
}

TY - JOUR
AU - Dohoon Choi
AU - YoungJu Choie
AU - Toshiyuki Kikuta
TI - Sturm type theorem for Siegel modular forms of genus 2 modulo p
JO - Acta Arithmetica
PY - 2013
VL - 158
IS - 2
SP - 129
EP - 139
AB - 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.
LA - eng
KW - Siegel modular form; Sturm's theorem; congruences modulo ; Witt operator
UR - http://eudml.org/doc/279499
ER -