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On the first sign change of Fourier coefficients of cusp forms at sum of two squares.
- Source :
-
Research in Number Theory . 9/27/2021, Vol. 7 Issue 4, p1-12. 12p. - Publication Year :
- 2021
-
Abstract
- In this article, we have considered the problem of first sign change of Fourier coefficients of a primitive cusp form at a sparse sequence, where elements of the sparse sequence can be written as a sum of two squares. Following the methods of Kohnen–Sengupta, we give an effective upper bound on elements of such a sparse sequence to have first sign change. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SUM of squares
*CUSP forms (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 25220160
- Volume :
- 7
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Research in Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 152655217
- Full Text :
- https://doi.org/10.1007/s40993-021-00291-9