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arXiv · 2008.11771

On the growth of Rankin-Selberg L-functions for $SL(2)$

Hongyu He
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Abstract

In this paper, we establish bounds of the Rankin-Selberg $L$-function for $SL(2)$ using the supnorm of the Eisenstein series and a purely representation theoretic index over the real group. Consequently, we obtain a subconvexity bound $L(\frac{1}{2}+ it, f_1 \times f_2) \leq C (1+ |t|)^{\frac{5}{6}+\epsilon}$ for two Maass cusp forms of $SL(2, \mathbb Z)$.

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BibTeXRIS

Hongyu He. 2020-08-26. On the growth of Rankin-Selberg L-functions for $SL(2)$. https://arxiv.org/abs/2008.11771

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