TL;DR
This paper observes that the gamma factor defined by Gelfand and Kazhdan is equivalent to the Rankin-Selberg root number as defined by Jacquet, Piatetskii-Shapiro, and Shalika, clarifying their relationship.
Contribution
It establishes the equivalence between two previously distinct gamma factors in the context of automorphic forms.
Findings
Gamma factor by Gelfand and Kazhdan coincides with Rankin-Selberg root number.
Clarifies the relationship between different gamma factor definitions.
Contributes to the unification of gamma factor concepts in representation theory.
Abstract
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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Taxonomy
TopicsAdvanced Mathematical Identities · Advanced Algebra and Geometry · Analytic Number Theory Research