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- W2242891996 abstract "Let $M,N$ be coprime square-free integers. Let $f$ be a holomorphic cusp form of level $N$ and $g$ be either a holomorphic or a Maa{ss} form with level $M$. Using a large sieve inequality, we establish a bound of the form $sum_{g}left|L^{(j)}left(1/2+it,f otimes gright)right|^2 ll_t M+M^{2/3-beta}N^{4/3}$ where $beta approx 1/500$. As a consequence, we obtain subconvexity bounds for $L^{(j)}left(1/2+it,f otimes gright)ll (MN)^{1/2 - alpha}$ for any $N<M$ satisfying the conditions above without using amplification methods. Moreover, by the symmetry, we establish a level aspect hybrid subconvexity bound for the full range when both forms are holomorphic." @default.
- W2242891996 created "2016-06-24" @default.
- W2242891996 creator A5091003941 @default.
- W2242891996 date "2014-04-08" @default.
- W2242891996 modified "2023-09-27" @default.
- W2242891996 title "The Second Moment of Rankin-Selberg L-function and Hybrid Subconvexity Bound" @default.
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