Estimate of the module of analogue Weyl’s trigonometrical sum in ring of Gaussian numbers

Sorokin P.N.
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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.

Keywords: ring of Gaussian numbers, trigonometrical sums of G.Weyl
Citation in English: Sorokin P.N. Estimate of the module of analogue Weyl’s trigonometrical sum in ring of Gaussian numbers // Computer Research and Modeling, 2010, vol. 2, no. 4, pp. 343-347
Citation in English: Sorokin P.N. Estimate of the module of analogue Weyl’s trigonometrical sum in ring of Gaussian numbers // Computer Research and Modeling, 2010, vol. 2, no. 4, pp. 343-347
DOI: 10.20537/2076-7633-2010-2-4-343-347
URL: http://crm-en.ics.org.ru/journal/article/1744/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

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