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Angular changes of Fourier coefficients at primes.

Authors :
Kumar, Balesh
Viswanadham, G. K.
Source :
Ramanujan Journal; Aug2019, Vol. 49 Issue 3, p641-651, 11p
Publication Year :
2019

Abstract

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 (θ 1 , θ 2) : = { r e i θ : r > 0 , θ ∈ [ θ 1 , θ 2 ] } with 0 ≤ θ 2 - θ 1 < π . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13824090
Volume :
49
Issue :
3
Database :
Complementary Index
Journal :
Ramanujan Journal
Publication Type :
Academic Journal
Accession number :
137399006
Full Text :
https://doi.org/10.1007/s11139-018-0059-y