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Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals

Published 31 Aug 2024 in math.NT and math.RT | (2409.00401v1)

Abstract: We give explicit formulas of Whittaker functions on GL(4,R) for all irreducible generic representations. As an application, we determine test vectors which attain the associated L-factors for Bump-Friedberg integrals on GL(4,R).

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