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On the asymptotics of coefficients of Rankin–Selberg L-functions.
- Source :
-
Acta Mathematica Hungarica . Aug2023, Vol. 170 Issue 2, p524-550. 27p. - Publication Year :
- 2023
-
Abstract
- Let f and g be two different holomorphic cusp froms or Maass cusp forms for the full modular group S L (2 , Z) . We are interested in coefficients of Rankin–Selberg L-functions, and establish some bounds for ∑ n ≤ x λ sym i f × sym j g (n) , ∑ n ≤ x λ f (n i) λ g (n j) , ∑ n ≤ x | λ sym i f × sym j g (n) | , ∑ n ≤ x | λ f (n i) λ g (n j) | , and ∑ n ≤ x max { | λ sym i f × sym j g (n) | 2 φ , | λ sym i f × sym j g (n + h) | 2 φ } , where φ > 0 and h is a fixed positive integer. [ABSTRACT FROM AUTHOR]
- Subjects :
- *L-functions
*MODULAR forms
*CUSP forms (Mathematics)
*MODULAR groups
Subjects
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 170
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 172041253
- Full Text :
- https://doi.org/10.1007/s10474-023-01357-z