V. N. Chubarikov, “The sum of Dirichlet characters of a polynomial over a reduced residue system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, Number 3,Pages <nobr>40

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Mathematics

The sum of Dirichlet characters of a polynomial over a reduced residue system

V. N. Chubarikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A root estimate is obtained for a sum of Dirichlet characters of the polynomial $ax^n+b$ over a reduced residue system.

Key words: Dirichlet character, Postnikov's formula for a Dirichlet character, Hua Loo-keng's method for estimation of complete rational trigonometric sums.

UDC: 511

Received: 07.11.2008