Non-vanishing of certain integral representations
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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