p-adic L-functions for Rankin-Selberg convolutions over number fields

TL;DR

This paper constructs cyclotomic p-adic L-functions for Rankin-Selberg convolutions over arbitrary number fields and demonstrates they satisfy a functional equation, advancing the understanding of p-adic L-functions in number theory.

Contribution

It unconditionally constructs p-adic L-functions for Rankin-Selberg convolutions over general number fields, establishing their functional equations, which was previously unknown.

Findings

Construction of p-adic L-functions for GL(n+1) x GL(n) over number fields

Proof that these L-functions satisfy a functional equation

Extension of known results to arbitrary number fields

Abstract

We unconditionally construct cyclotomic p-adic L-functions for Rankin-Selberg convolutions for GL(n+1) x GL(n) over arbitrary number fields, and show that they satisfy an expected functional equation.