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The weight of half-integral weight modular forms with few non-vanishing coefficients mod l

100%

Choi D., Kilbourn T.

Acta Arithmetica

2007

tom 127

nr 2

193-197

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

81%

Choi D., Choie Y., Kikuta T.

Acta Arithmetica

2013

tom 158

nr 2

129-139

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.

Ograniczanie wyników

2 Acta Arithmetica

2 Choi D.

1 Choie Y.

1 Kikuta T.

1 Kilbourn T.

1 2013

1 2007

Wyniki wyszukiwania

The weight of half-integral weight modular forms with few non-vanishing coefficients mod l

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