FORMULAS FOR THE FOURIER COEFFICIENTS OF SOME GENUS ZERO MODULAR FUNCTIONS

被引：5

作者：

Ohta, Kaori ^{[1
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Fukuoka 8128581, Japan

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2009年 / 63卷 / 01期

关键词：

Hauptmodul; Fourier coefficient singular moduli;

D O I：

10.2206/kyushujm.63.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Kaneko gave a closed formula for the Fourier coefficients of the elliptic modular function j (tau) expressed in terms of traces of singular moduli We give analogues of his formula in higher-level cases

引用

页码：1 / 15

页数：15

共 50 条

[21] FUNCTIONS WHOSE FOURIER-STIELTJES COEFFICIENTS APPROACH ZERO
DUFFIN, RJ
SCHAEFFER, AC
DUKE MATHEMATICAL JOURNAL, 1949, 16 (02) : 327 - 329
[22] Some Properties of General Fourier Coefficients of Lipschitz Functions
V. Tsagareishvili
Analysis Mathematica, 2021, 47 : 229 - 241
[23] Some Properties of General Fourier Coefficients of Lipschitz Functions
Tsagareishvili, V.
ANALYSIS MATHEMATICA, 2021, 47 (01) : 229 - 241
[24] On certain Dirichlet series built from the Fourier coefficients of modular functions
Kohnen, W
PACIFIC JOURNAL OF MATHEMATICS, 2004, 215 (01) : 29 - 33
[25] ON FOURIER COEFFICIENTS OF MODULAR FORMS
Cummins, C. J.
Haghighi, N. S.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2011, 83 (01) : 50 - 62
[26] SOME ARITHMETICAL PROPERTIES OF FOURIER COEFFICIENTS OF MODULAR INVARIANT J (TAU)
LAHIRI, DB
CURRENT SCIENCE, 1965, 34 (07): : 208 - &
[27] Norm inequalities for the Fourier coefficients of some almost periodic functions
Boryshchak, Y.
Myers, A.
Sagher, Y.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 192
[28] Nonnegative Fourier-Jacobi coefficients and some classes of functions
Rafalson, S
JOURNAL OF APPROXIMATION THEORY, 1996, 87 (03) : 328 - 337
[29] Recovering Fourier Coefficients of Some Functions and Factorization of Integer Numbers
Preobrazhenskii, S. N.
MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2010, 65 (04) : 166 - 171
[30] ON THE FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS
Boecherer, Siegfried
Kohnen, Winfried
NAGOYA MATHEMATICAL JOURNAL, 2019, 234 : 1 - 16

← 1 2 3 4 5 →