Journal article
Further improvement on bounds for L-functions related to GL(3)
International journal of number theory, Vol.15(7), pp.1487-1517
08/01/2019
DOI: 10.1142/S1793042119500866
Abstract
Let f be a fixed self-dual Hecke-Maass form for SL(3, Z), and let u be an even Hecke-Maass form for SL(2, Z) with Laplace eigenvalue 1/4 + k(2) , k > 0. A subconvexity bound for L(1/2, f x u) is improved to , O(k(21/16+epsilon))and a subconvexity bound for L(1/2+it, f) is improved to O((1 + vertical bar t vertical bar)(21/32+epsilon)) . New techniques employed include an application of an asymptotic formula by Salazar and Ye [Spectral square moments of a resonance sum for Maass forms, Front. Math. China 12(5) (2017) 1183-1200] to make error terms negligible, an iterative algorithm to locate stationary point, and a non-trivial estimation of Kloosterman sums.
Details
- Title: Subtitle
- Further improvement on bounds for L-functions related to GL(3)
- Creators
- Haiwei Sun - University of IowaYangbo Ye - University of Iowa
- Resource Type
- Journal article
- Publication Details
- International journal of number theory, Vol.15(7), pp.1487-1517
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- DOI
- 10.1142/S1793042119500866
- ISSN
- 1793-0421
- eISSN
- 1793-7310
- Number of pages
- 31
- Grant note
- 2016M602125 / China Postdoctoral Science Foundation 11601271 / National Natural Science Foundation of China
- Language
- English
- Date published
- 08/01/2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984240761102771
Metrics
31 Record Views