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On the coefficients of automorphic representations over polynomials.
- Source :
- Ramanujan Journal; Sep2024, Vol. 65 Issue 1, p173-188, 16p
- Publication Year :
- 2024
-
Abstract
- Let π be a cuspidal automorphic representation of GL 2 (A Q) associated to holomorphic forms with Fourier coefficients a π (n) . Consider an automorphic representation Π which is equivalent to sym m π or π × sym m π . We establish uniform upper bounds for ∑ n ⩽ X | a Π (| f (n) |) | , where f (x) ∈ Z [ x ] is a polynomial of arbitrary degree. This builds on the work of Chiriac and Yang, and refines one of their results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13824090
- Volume :
- 65
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Ramanujan Journal
- Publication Type :
- Academic Journal
- Accession number :
- 179165920
- Full Text :
- https://doi.org/10.1007/s11139-024-00889-4