Omega results for the divisor and circle problems

By Kannan Soundararajan. 2003

86 citations recorded by the source corpus.

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

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/c2592904df735dc75606b5cdabc0d27be61298ee

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In Applied Mathematics

1. Jeffrey C. Lagarias
2. Aleksandar Ivic

Citations in the corpus

• Lattice points in large regions and related arithmetic functions: Recent developments in a very classic topic (2004, background): “Soundararajan [157] (see his lemma in Section 1.”
• Euler's constant: Euler's work and modern developments (2013, background): “I thank Sylvie Paycha for comments on dimensional regularization in Section 3.2; Doug Hensley, Pieter Moree, K. Soundararajan and Gerald Tenenbaum for remarks on Dickman’s function in Section 3.5; Andrew Granville for extensive comments on the anatomy of integers ([141]), affecting Sections 3.5, 3.6”