Central L-values and periods for GL(2)

2010/02/23 by Kimball Martin, Martin, Kimball
Mathematics · #11F67 #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.1002.4430

openalex publication_date 2010/02/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an exposition of central value formulas for twisted L-functions for GL(2) in terms of compact periods, with a focus on explaining an approach via the relative trace formula and joint work of the author with David Whitehouse.

Related

• Twisted linear periods and a new relative trace formula
• Bhargava's composition law and Waldspurger's central value theorem
• Periods, cycles, and L-functions: a relative trace formula approach
• Automorphic SL₂-periods and the subconvexity problem for GL₂ × GL₃
• Spectral moment formulae for GL(3)× GL(2) L-functions III: the twisted case