Product of Rankin-Selberg convolutions and a new proof of Jacquet's local converse conjecture

2023/09/19 by Pan Yan, Qing Zhang, Yan, Pan +1
Mathematics · #11F70 #22E50 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2309.10445

openalex publication_date 2023/09/19 · openalex created_date 2023/09/21 · openalex updated_date 2026/07/28

Abstract

In this article, we construct a family of integrals which represent the product of Rankin-Selberg L-functions of GL_l× GL_m and of GL_l× GL_n when m+n

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