Strong Subconvexity for Self-Dual GL(3) <i>L</i>-Functions-Reference-Cited by-同舟云学术

Strong Subconvexity for Self-Dual GL(3) L-Functions

Published:2022-06-13 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Lin Yongxiao¹,Nunes Ramon²³,Qi Zhi⁴

Affiliation:

1. EPFL/MATH/TAN , Station 8, CH-1015 Lausanne, Switzerland

2. Departamento de Matemática , Universidade Federal do Ceará, Campus do Pici, Bloco 914, 60440-900 Fortaleza-CE, Brasil

3. Max Planck Institute for Mathematics , Vivatsgasse 7, 53111 Bonn, Germany

4. School of Mathematical Sciences , Zhejiang University, Hangzhou, 310027, China

Abstract

Abstract In this paper, we prove strong subconvexity bounds for self-dual $\textrm {GL}(3)\ L$-functions in the $t$-aspect and for $\textrm {GL}(3)\times \textrm {GL}(2)$ $L$-functions in the $\textrm {GL}(2)$-spectral aspect. The bounds are strong in the sense that they are the natural limit of the moment method pioneered by Xiaoqing Li, modulo current knowledge on estimate for the second moment of $\textrm {GL}(3)$ $L$-functions on the critical line.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnac153/44047297/rnac153.pdf

Reference27 articles.

1. A new subconvex bound for GL(3) L-functions in the t-aspect;Aggarwal;Int. J. Number Theory,2021

2. Subconvexity for twisted $L$-functions on GL(3);Blomer;Am. J. Math.,2012

3. A spectral reciprocity formula and non-vanishing for L-functions on GL(4)$\times $GL(2);Blomer;J. Number Theory,2019

4. The cubic moment of central values of automorphic L-functions;Conrey;Ann. Math. (2),2000

5. A large sieve density estimate near $\sigma =$ 1;Gallagher;Invent. Math.,1970

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