Subconvexity bound for GL(3) × GL(2) L-functions : Hybrid level aspect

IF 0.9 1区数学 Q2 MATHEMATICS Algebra & Number Theory Pub Date : 2024-02-16 DOI:10.2140/ant.2024.18.477

Sumit Kumar, Ritabrata Munshi, Saurabh Kumar Singh

引用次数: 0

Abstract

Let $F$ be a $GL (3)$ Hecke–Maass cusp form of prime level $P_{1}$ and let $f$ be a $GL (2)$ Hecke–Maass cuspform of prime level $P_{2}$ . We will prove a subconvex bound for the $GL (3) \times GL (2)$ Rankin–Selberg $L$ -function $L (s, F \times f)$ in the level aspect for certain ranges of the parameters $P_{1}$ and $P_{2}$ .

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GL(3) × GL(2) L 函数的次凸性约束：混合级方面

设 F 是质级 P1 的 GL (3) Hecke-Maass Cusp 形式，设 f 是质级 P2 的 GL (2) Hecke-Maass Cusp 形式。我们将证明在参数 P1 和 P2 的特定范围内，GL (3)× GL (2) 兰金-塞尔伯格 L 函数 L(s,F×f) 在水平方面的亚凸界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

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