vix.ing · top · new · best · stats · spec

THE RESONANCE METHOD FOR LARGE CHARACTER SUMS

2011/09/08 by Bob Hough
Mathematics · #Analytic Number Theory Research #Character (mathematics) #Limits and Structures in Graph Theory #Mathematical Approximation and Integration #Mathematical proof #Point (geometry) #Resonance (particle physics) #Saddle #math.NT

paper · pdf · doi:10.1112/s0025579312001015

arxiv created 2011/09/08 · openalex publication_date 2012/09/11 · arxiv updated 2014/01/14 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

Abstract

We consider the size of large character sums, proving new lower bounds for in almost all ranges of N. The proofs use the resonance method and saddle point analysis.

Citations