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arXiv · 2412.10534

Non-vanishing of certain integral representations

Akash Yadav
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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 $(s_1,s_2)$. As a corollary, we determine the potential locations of poles for their corresponding partial $L$-functions.

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Akash Yadav. 2024-12-13. Non-vanishing of certain integral representations. https://arxiv.org/abs/2412.10534

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