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Remark on the paper 'On products of Fourier coefficients of cusp forms'
- Source :
- Archiv der Mathematik. 108:263-269
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- Let a(n) be the Fourier coefficient of a holomorphic cusp form on some discrete subgroup of \(SL_2({\mathbb R})\). This note is to refine a recent result of Hofmann and Kohnen on the non-positive (resp. non-negative) product of \(a(n)a(n+r)\) for a fixed positive integer r.
- Subjects :
- Cusp (singularity)
Discrete group
Mathematics::Number Theory
General Mathematics
010102 general mathematics
Mathematical analysis
Holomorphic function
02 engineering and technology
01 natural sciences
Cusp form
Combinatorics
Integer
Product (mathematics)
0202 electrical engineering, electronic engineering, information engineering
020201 artificial intelligence & image processing
0101 mathematics
Fourier series
Mathematics
Subjects
Details
- ISSN :
- 14208938 and 0003889X
- Volume :
- 108
- Database :
- OpenAIRE
- Journal :
- Archiv der Mathematik
- Accession number :
- edsair.doi...........fa1a5813465a869854da7766862a9d52