Eisenstein Cohomology and ratios of critical values of Rankin-Selberg L-functions

2011/03/04 by Guenter Harder, A. Raghuram, Harder, Guenter +1
Mathematics · #11F67 (Primary) 11F66 #11F75 #22E55 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1103.0851

openalex publication_date 2011/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an announcement of results on rank-one Eisenstein cohomology of GL(N), with N > 1 an odd integer, and algebraicity theorems for ratios of successive critical values of certain Rankin-Selberg L-functions for GL(n) x GL(n') when n is even and n' is odd.

Related

• Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions
• Eisenstein Cohomology for GL(N) and the special values of Rankin-Selberg L-functions over a totally imaginary number field
• Eisenstein cohomology and congruences for the ratios of Rankin--Selberg L-functions
• Eisenstein cohomology for orthogonal groups and the special values of L-functions for \rm GL₁ × \rm O(2n)
• Eisenstein Cohomology and Critical Values of Certain L-Functions: The Case G₂