临界带边缘上Rankin-Selberg $L$-函数的下界

IF 0.5 3区 数学 Q3 MATHEMATICS
Qiao Zhang
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引用次数: 0

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Lower bounds for Rankin–Selberg $L$-functions on the edge of the critical strip
Let $F$ be a number field, and let $\pi_1$ and $\pi_2$ be distinct unitary cuspidal automorphic representations of $\operatorname{GL}_{n_1}(\mathbb{A}_F)$ and $\operatorname{GL}_{n_2}(\mathbb{A}_F)$ respectively. In this paper, we derive new lower bounds for the Rankin-Selberg $L$-function $L(s, \pi_1 \times \widetilde{\pi}_2)$ along the edge $\Re s = 1$ of the critical strip in the $t$-aspect. The corresponding zero-free region for $L(s, \pi_1 \times \widetilde{\pi}_2)$ is also determined.
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来源期刊
Acta Arithmetica
Acta Arithmetica 数学-数学
CiteScore
1.00
自引率
14.30%
发文量
64
审稿时长
4-8 weeks
期刊介绍: The journal publishes papers on the Theory of Numbers.
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