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Angular changes of Fourier coefficients at primes.
- 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