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Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions

Functional equations of algebraic Rankin-Selberg $p$-adic $L$-functions

This article presents an approach to the algebraic functional equation for Selmer complexes, which in turn have applications in the Iwasawa theoretic study of Rankin-Selberg products of the Hida and Coleman families. Our treatment establishes the functional equation for algebraic $p$-adic $L$-functions (which are given in terms of characteristic ideals …