SIGN OF FOURIER COEFFICIENTS OF MODULAR FORMS OF HALF-INTEGRAL WEIGHT

被引：9

作者：

Lau, Yuk-Kam ^{[1
]}

Royer, Emmanuel ^{[2
,3
]}

Wu, Jie ^{[4
,5
,6
]}

机构：

[1] Univ Hong Kong, Dept Math, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China

[2] Univ Clermont Ferrand, Univ Clermont Auvergne, Math Lab, BP 10448, F-63000 Clermont Ferrand, France

[3] CNRS, UMR 6620, LM, F-63178 Aubiere, France

[4] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[5] Univ Lorraine, CNRS, Inst Elie Cartan Lorraine, UMR 7502, F-54506 Vandoeuvre Les Nancy, France

[6] Univ Lorraine, UMR 7502, Inst Elie Cartan Lorraine, F-54506 Vandoeuvre Les Nancy, France

来源：

MATHEMATIKA | 2016年 / 62卷 / 03期

关键词：

CUSP FORMS; VALUES;

D O I：

10.1112/S0025579316000103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish lower bounds for (i) the numbers of positive and negative terms and (ii) the number of sign changes in the sequence of Fourier coefficients at squarefree integers of a half-integral weight modular Hecke eigenform.

引用

页码：866 / 883

页数：18

共 50 条

[1] On the Fourier coefficients of modular forms of half-integral weight
Prasanna, Kartik
[J]. FORUM MATHEMATICUM, 2010, 22 (01) : 153 - 177
[2] Sign of Fourier coefficients of half-integral weight modular forms in arithmetic progressions
Corentin Darreye
[J]. Research in Number Theory, 2020, 6
[3] ON THE FOURIER COEFFICIENTS OF MODULAR FORMS OF HALF-INTEGRAL WEIGHT
Choie, Young Ju
Kohnen, Winfried
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2013, 9 (08) : 1879 - 1883
[4] Sign of Fourier coefficients of half-integral weight modular forms in arithmetic progressions
Darreye, Corentin
[J]. RESEARCH IN NUMBER THEORY, 2020, 6 (04)
[5] A short remark on sign changes of Fourier coefficients of half-integral weight modular forms
YoungJu Choie
Winfried Kohnen
[J]. Archiv der Mathematik, 2013, 100 : 333 - 336
[6] THE SIGN OF FOURIER COEFFICIENTS OF HALF-INTEGRAL WEIGHT CUSP FORMS
Hulse, Thomas A.
Kiral, E. Mehmet
Kuan, Chan Ieong
Lim, Li-Mei
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2012, 8 (03) : 749 - 762
[7] Signs of Fourier coefficients of half-integral weight modular forms
Lester, Stephen
Radziwill, Maksym
[J]. MATHEMATISCHE ANNALEN, 2021, 379 (3-4) : 1553 - 1604
[8] FOURIER COEFFICIENTS OF MODULAR-FORMS OF HALF-INTEGRAL WEIGHT
IWANIEC, H
[J]. INVENTIONES MATHEMATICAE, 1987, 87 (02) : 385 - 401
[9] A note on the Fourier coefficients of half-integral weight modular forms
Narasimha Kumar
Soma Purkait
[J]. Archiv der Mathematik, 2014, 102 : 369 - 378
[10] A short remark on sign changes of Fourier coefficients of half-integral weight modular forms
Choie, YoungJu
Kohnen, Winfried
[J]. ARCHIV DER MATHEMATIK, 2013, 100 (04) : 333 - 336

← 1 2 3 4 5 →