A note on Fourier-Jacobi coefficients of Siegel modular forms

被引：0

作者：

Sanoli Gun

Narasimha Kumar

机构：

[1] Institute of Mathematical Sciences,Indian Institute of Technology Hyderabad

[2] C.I.T Campus,undefined

[3] Ordnance Factory Estate,undefined

来源：

Archiv der Mathematik | 2013年 / 101卷

关键词：

Primary 11F46; 11F50; Secondary 11F30; Siegel cusp forms; Fourier-Jacobi coefficients; Petersson norms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let F be a Siegel cusp form of weight k and genus n > 1 with Fourier-Jacobi coefficients fm. In this article, we estimate the growth of the Petersson norms of fm, where m runs over an arithmetic progression. This result sharpens a recent result of Kohnen [5].

引用

页码：519 / 524

页数：5

共 13 条

[1]

Böcherer S.(1999)Non-vanishing of scalar products of Fourier-Jacobi coefficients of Siegel cusp forms Math. Ann. 313 1-13

[2]

Bruinier J. H.(1989)A certain Dirichlet series attached to Siegel modular forms of degree two Invent. Math. 95 541-558

[3]

Kohnen W.(1993)On characteristic twists of certain Dirichlet series Mem. Fac. Sci. Kyushu Univ. Ser. A 47 103-117

[4]

Kohnen W.(1995)Characteristic twists of a Dirichlet series for Siegel cusp forms Manuscripta Math. 87 489-499

[5]

Skoruppa N.-P.(2011)On the growth of the Petersson norms of Fourier-Jacobi coefficients of Siegel cusp forms Bull. Lond. Math. Soc. 43 717-720

[6]

Kohnen W.(1991)A Dirichlet series for modular forms of degree Acta Arith. 59 243-259

[7]

Kohnen W.(2008)On the sign changes of coefficients of general Dirichlet series Proc. Amer. Math. Soc. 136 3089-3094

[8]

Krieg A.(2011)On the oscillatory behavior of certain arithmetic functions associated with automorphic forms J. Number Theory 131 2047-2060

[9]

Sengupta J.(undefined)undefined undefined undefined undefined-undefined

[10]

Kohnen W.(undefined)undefined undefined undefined undefined-undefined

← 1 2 →