A generalization of Knopp's Observation on Ramanujan's tau-function

被引：2

作者：

Pribitkin, Wladimir de Azevedo ^{[1
,2
,3
]}

机构：

[1] CUNY, Coll Staten Isl, Dept Math, 2800 Victory Blvd, Staten Isl, NY 10314 USA

[2] Dept Math, Grad Ctr, CUNY, New York, NY 10016 USA

[3] CUNY, Grad Ctr, Dept Math, 365 Fifth Ave, New York, NY 10016 USA

来源：

RAMANUJAN JOURNAL | 2016年 / 41卷 / 1-3期

关键词：

Modular forms; Cusp forms; Fourier coefficients; Nonvanishing; MODULAR INVARIANT J(TAU); PARTITION-FUNCTION P(N); SMALL POSITIVE WEIGHT; FOURIER COEFFICIENTS; AUTOMORPHIC-FORMS; CUSP FORMS; INTEGRALS; SERIES;

D O I：

10.1007/s11139-015-9756-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a vast generalization of an observation made by Marvin Knopp half a century ago concerning the nonvanishing of Ramanujan's tau-function.

引用

页码：519 / 542

页数：24

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