The mean value for Weyl sum over the ring of algebraic integers

A. V. Kokorev

Orel State University

Abstract: The estimates of the mean value trigonometrical Weyl sum in a rational number field are given in the paper [1] of Arkhipov G. I. The estimates of the mean value trigonometrical sum in real algebraic numbers is found in the present article.

Keywords: the mean value theorem, trigonometrical sums.

UDC: 519.14

Received: 23.05.2013