Journal article
Double square moments and subconvexity bounds for Rankin-Selberg L-functions of holomorphic cusp forms
Science China. Mathematics, Vol.63(5), pp.823-844
05/2020
DOI: 10.1007/s11425-018-9380-6
Abstract
Let f and g be holomorphic cusp forms of weights k1 and k2 for the congruence subgroups Γ0(N1) and Γ0 (N2), respectively. In this paper the square moment of the Rankin-Selberg L-function for f and g in the aspect of both weights in short intervals is bounded, when kε1 ≪ k2 ≪ k11-ε. These bounds are the mean Lindelöf hypothesis in one case and subconvexity bounds on average in other cases. These square moment estimates also imply subconvexity bounds for individual L(12 + it, f × g) for all g when f is chosen outside a small exceptional set. In the best case scenario the subconvexity bound obtained reaches the Weyl-type bound proved by Lau et al. (2006) in both the k1 and k2 aspects.
Details
- Title: Subtitle
- Double square moments and subconvexity bounds for Rankin-Selberg L-functions of holomorphic cusp forms
- Creators
- Jianya LiuHaiwei SunYangbo Ye
- Resource Type
- Journal article
- Publication Details
- Science China. Mathematics, Vol.63(5), pp.823-844
- DOI
- 10.1007/s11425-018-9380-6
- ISSN
- 1674-7283
- eISSN
- 1869-1862
- Language
- English
- Date published
- 05/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9983985709202771
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