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.
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 |
Similar Items
-
Trigonometric approach to convolution formulae of Bernoulli and Euler numbers
by: Wenchang Chu, et al.
Published: (2010-01-01) -
Connecting (Anti)Symmetric Trigonometric Transforms to Dual-Root Lattice Fourier–Weyl Transforms
by: Adam Brus, et al.
Published: (2021-12-01) -
ON CONNECTING WEYL-ORBIT FUNCTIONS TO JACOBI POLYNOMIALS AND MULTIVARIATE (ANTI)SYMMETRIC TRIGONOMETRIC FUNCTIONS
by: Jiri Hrivnak, et al.
Published: (2016-08-01) -
Extended Weyl-Type Theorems for Direct Sums
by: Berkani M., et al.
Published: (2014-06-01) -
On general partial Gaussian sums
by: Ganglian Ren, et al.
Published: (2016-11-01)