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
收藏
页码:519 / 542
页数:24
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