Journal article
The fourth power moment of automorphic L-functions for GL(2) over a short interval
Transactions of the American Mathematical Society, Vol.358(5), pp.2259-2268
2006
DOI: 10.1090/S0002-9947-05-03831-6
Abstract
In this paper we will prove bounds for the fourth power moment in the t aspect over a short interval of automorphic L-functions L(s, g) for GL(2) on the central critical line Re s = 1/2. Here g is a fixed holomorphic or Maass Hecke eigenform for the modular group SL2(Z), or in certain cases, for the Hecke congruence subgroup Γ0(N) with N > 1. The short interval is from a large K to K + K103/135+ ∈. The proof is based on an estimate in the proof of subconvexity bounds for Rankin-Selberg L-function for Maass forms by Jianya Liu and Yangbo Ye (2002) and Yuk-Kam Lau, Jianya Liu, and Yangbo Ye (2004), which in turn relies on the Kuznetsov formula (1981) and bounds for shifted convolution sums of Fourier coefficients of a cusp form proved by Sarnak (2001) and by Lau, Liu, and Ye (2004).
Details
- Title: Subtitle
- The fourth power moment of automorphic L-functions for GL(2) over a short interval
- Creators
- Yangbo Ye
- Resource Type
- Journal article
- Publication Details
- Transactions of the American Mathematical Society, Vol.358(5), pp.2259-2268
- DOI
- 10.1090/S0002-9947-05-03831-6
- ISSN
- 0002-9947
- eISSN
- 1088-6850
- Publisher
- American Mathematical Society
- Language
- English
- Date published
- 2006
- Academic Unit
- Mathematics
- Record Identifier
- 9983985858502771
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