Omega results for the divisor and circle problems

2003/02/01 by K. Soundararajan, Kannan Soundararajan, Soundararajan, Kannan · 2 citations
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.math/0302010

9 pages

arxiv created 2003/02/01 · openalex publication_date 2003/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain new omega results for the error terms in two classical lattice point problems. These results are likely to be the best possible.

Cited by

• Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
• The Piltz divisor Problem in Number Fields Using The Resonance Method

Related

• Omega Estimate for the Lattice Point Discrepancy of a Body of Revolution Using The Resonance Method
• Omega Results for The Divisor and Circle Problems Using The Resonance Method
• Diophantine problems related to the Omega constant
• Some Problems in Number Theory I: The Circle Problem
• An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem