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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2010 Volume 88, Issue 3, Pages 355–364 (Mi mzm8809)
This article is cited in 7 papers

A Note on Burgess's Estimate

P. X. Gallaghera, H. L. Montgomeryb

a Columbia University, Department of Mathematics
b University of Michigan, Department of Mathematics

Abstract: By introducing the Rademacher–Menchov device, we prove “maximal” analogs of principal bounds of character sums. This allows us to present the Burgess method so as to separate the main idea of this method from the technical issues.

Keywords: Dirichlet character, generalized Riemann hypothesis, Rademacher–Menchov device, Hölder's inequality, Legendre symbol.

UDC: 517

Received: 01.12.2009
Revised: 12.03.2010

DOI: 10.4213/mzm8809


 English version: Mathematical Notes, 2010, 88:3, 321–329

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© Steklov Math. Inst. of RAS, 2024