Estimate of the module of analogue Weyls trigonometrical sum in ring of Gaussian numbers

The ring of Gaussian numbers is considered. The estimation of the module of some analogue of Weyl's trigonometrical sum with summation on Gaussian numbers is proved by methods of the analytical number theory. Multiplicative norm of Gaussian numbers is less than some integer.

Bibliographic Details
Main Author: Pavel Nikolaevich Sorokin
Format: Article
Language:Russian
Published: Institute of Computer Science 2010-12-01
Series:Компьютерные исследования и моделирование
Subjects:
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm2010-2-4/crm100402.pdf