ESTIMATES FOR THE SHIFTED CONVOLUTION SUM INVOLVING FOURIER COEFFICIENTS OF CUSP FORMS OF HALF-INTEGRAL WEIGHT

被引：1

作者：

Jha, Abhash Kumar ^{[1
]}

Vaishya, Lalit ^{[2
]}

机构：

[1] Banaras Hindu Univ, Indian Inst Technol, Varanasi 221005, India

[2] HBNI, Harish Chandra Res Inst, Chhatnag Rd, Prayagraj 211019, India

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2023年 / 68卷 / 01期

关键词：

shifted convolution sum; cusp forms of half-integral weight; Poisson-Voronoi summation formula; MODULAR-FORMS; AVERAGES;

D O I：

10.7169/facm/1942

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we obtain certain estimates for the shifted convolution sum involving the Fourier coefficients of half-integral weight cusp forms.

引用

页码：7 / 18

页数：12

共 40 条

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MATHEMATISCHE ZEITSCHRIFT, 2013, 273 (1-2) : 29 - 41
[2] THE SIGN OF FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT CUSP FORMS
Hulse, Thomas A.
Kiral, E. Mehmet
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INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (03) : 749 - 762
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[4] Fourier coefficients of half-integral weight cusp forms and Waring's problem
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[5] On calculations of the Fourier coefficients of cusp forms of half-integral weight given by the Shintani lift
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[6] On calculations of the Fourier coefficients of cusp forms of half-integral weight given by the Shintani lift
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INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2025, 56 (01) : 375 - 389
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Soma Purkait
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Kumar, Narasimha
Purkait, Soma
ARCHIV DER MATHEMATIK, 2014, 102 (04) : 369 - 378
[9] Fourier coefficients of half-integral weight modular forms modulo l
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[10] A short note on sign changes and non-vanishing of Fourier coefficients of half-integral weight cusp forms
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ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2022, 92 (01): : 85 - 90

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