Multiplicative mimicry and improvements to the Pólya-Vinogradov inequality

DOI10.2140/ant.2012.6.123zbMath1263.11076arXiv0911.5547OpenAlexW2031595800MaRDI QIDQ442416

Leo Goldmakher

Publication date: 10 August 2012

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5547

zbMATH Keywords

exponential sumscharacter sumsmultiplicative functionsDirichlet characters

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Estimates on character sums (11L40) Trigonometric and exponential sums (general theory) (11L03)

Related Items (14)

Pólya-Vinogradov and the least quadratic nonresidue ⋮ Large even order character sums ⋮ Partial Gaussian sums and the Pólya-Vinogradov inequality for primitive characters ⋮ Large odd order character sums and improvements of the Pólya-Vinogradov inequality ⋮ THE DISTRIBUTION OF THE MAXIMUM OF CHARACTER SUMS ⋮ Three conjectures about character sums ⋮ СУММЫ ХАРАКТЕРОВ НА СДВИНУТЫХ СТЕПЕНЯХ ⋮ Large sums of high‐order characters ⋮ LARGE VALUES OF FOR TH ORDER CHARACTERS AND APPLICATIONS TO CHARACTER SUMS ⋮ Signatures of Dirichlet characters and elliptic curves ⋮ Zeros of partial sums of \(L\)-functions ⋮ Multiplicative functions that are close to their mean ⋮ Mock characters and the Kronecker symbol ⋮ On the constant in the Pólya-Vinogradov inequality

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