Theoretical analysis demonstrates the equivalence of Gelfand-Kazhdan gamma factors and Rankin-Selberg root numbers, establishing consistency across local automorphic methods.
In this short note we observe that the gamma factor defined by Gelfand and Kazhdan coincides with the Rankin-Selberg root number defined by Jacquet, Piatetskii-Shapiro and Shalika.
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Omer Offen (2026) studied this question.
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