Angular changes of Fourier coefficients at primes

被引：1
|
作者：
Kumar, Balesh [1 ]
Viswanadham, G. K. [2 ]
机构：
[1] HBNI, Inst Math Sci, 4 Cross Rd,CIT Campus, Chennai 600113, Tamil Nadu, India
[2] IISER Berhampur, Dept Math, Berhampur 760010, Odisha, India
来源：
RAMANUJAN JOURNAL | 2019年 / 49卷 / 03期
关键词：
Modular forms; Generalized modular functions; Sign changes; SIGN CHANGES; Q-EXPONENTS;
D O I：
10.1007/s11139-018-0059-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the angle changes of Fourier coefficients of cusp forms and q-exponents of generalized modular functions at primes. More precisely, we prove that both these subsequences, under certain conditions, fall infinitely often outside any given wedge W(theta 1,theta 2):={rei theta:r>0,theta is an element of[theta 1,theta 2]} with 0 <=theta 2-theta 1<pi.
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页码：641 / 651
页数：11
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