Non-vanishing of certain integral representations

2024/12/13 by Akash Yadav, Yadav, Akash · 1 citation
Mathematics · #11F70 #22E55 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2412.10534

openalex publication_date 2024/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove that there exist Whittaker and Schwartz functions such that the local Flicker integrals are non-vanishing for all complex values of s, and the local Bump-Friedberg integrals are non-vanishing for all complex pairs (s₁,s₂). As a corollary, we determine the potential locations of poles for their corresponding partial L-functions.

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• Central values of Asai L-functions and twisted Gan--Gross--Prasad conjecture

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