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

2015/01/19 by Fabian Januszewski, Januszewski, Fabian
Mathematics · #11F66 #11F67 #11R23 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1501.04444

openalex publication_date 2015/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Rankin-Selberg Convolutions

Related

• On p-adic L-functions for \rm GL(n)×\rm GL(n-1) over totally real fields
• Period relations for Rankin-Selberg convolutions for GL(n)× GL(n-1)
• P-adic Rankin-Selberg L-functions in universal deformation families and functional equations
• Period relations for Rankin-Selberg convolutions for GL(n)\timesGL(n)
• Anticyclotomic p-adic L-functions for Rankin--Selberg product