A Note on Burgess's Estimate

P. X. Gallagher ; H. L. Montgomery

Matematičeskie zametki, Tome 88 (2010) no. 3, pp. 355-364.

Résumé

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.

Détail

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

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