Zobrazeno 1 - 10
of 920
pro vyhledávání: '"fourth power"'
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 407-464 (2024)
This article aims to investigate the calculation problem of the fourth-power mean of the specific Kloosterman sums by utilizing analytic methods and the properties of classical Gauss sums. It provides a captivating calculation formula for this purpos
Externí odkaz:
https://doaj.org/article/9e34efd10ce040cdb023112447992dd3
Autor:
V. P. Miletskiy, Ya. A. Emelin
Publikováno v:
Дискурс, Vol 10, Iss 3, Pp 75-85 (2024)
Introduction. This article considers the mass media as the «Fourth Power» in the political system of modern society with the aim of illuminating the place of mass media in the latter. The authors had attempted to achieve this goal in terms of struc
Externí odkaz:
https://doaj.org/article/5e3b52037f3a44adb3b0e953cb91563d
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17774-17783 (2024)
In this paper, the fourth power mean values of the generalized quadratic Gauss sums associated with the $ 3 $-order and $ 4 $-order Dirichlet characters are given by using the properties of the Dirichlet characters and Gauss sums.
Externí odkaz:
https://doaj.org/article/d21086da371c454bb611e4ae951ce598
Autor:
Liu Wencong, Ning Shushu
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 205-212 (2024)
The main purpose of this article is to study the calculating problem of the fourth power mean of the two-term exponential sums and provide an accurate calculating formula for utilizing analytical methods and character sums’ properties. In the meant
Externí odkaz:
https://doaj.org/article/53d946a12e1b495c93bd4b6149e735f4
Autor:
Li Rui, Nilanjan Bag
Publikováno v:
Electronic Research Archive, Vol 31, Iss 10, Pp 6445-6453 (2023)
The main purpose of this article is using the analytic methods and properties of classical Gauss sums to study the calculating problem of fourth power mean values of one kind special Kloosterman's sum, and give a sharp asymptotic formula for it. At t
Externí odkaz:
https://doaj.org/article/9209a77e25554569b7c90b7361876d37
Autor:
Junfeng Cui, Li Wang
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 26590-26599 (2023)
The main purpose of this article is to study the calculating problem of one kind fourth power mean of the generalized Kloosterman's sums and provide an accurate calculating formula for it utilizing analytical methods and character sums' properties. S
Externí odkaz:
https://doaj.org/article/fc05c35730664ff28c8dfa0af4aea422
Publikováno v:
Electronic Research Archive, Vol 31, Iss 9, Pp 5559-5572 (2023)
The mean value problems of exponential sums play a very important role in the research of analytic number theory, and many famous number theory problems are closely related to them. The main purpose of this paper is using some elementary methods and
Externí odkaz:
https://doaj.org/article/2dbc43805ed64dc896573392932b03a4
Autor:
Li Wang, Yuanyuan Meng
Publikováno v:
Electronic Research Archive, Vol 31, Iss 7, Pp 4313-4323 (2023)
The study of the power mean of the generalized polynomial exponential sums plays a very important role in analytic number theory, and many classical number theory problems are closely related to it. In this article, we use the elementary methods and
Externí odkaz:
https://doaj.org/article/16b1e15754a9443e9726790d71b18a07
Autor:
Wenpeng Zhang, Yuanyuan Meng
Publikováno v:
AIMS Mathematics, Vol 8, Iss 4, Pp 8650-8660 (2023)
The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculat
Externí odkaz:
https://doaj.org/article/da7fb6d31b0e4c5e88103882b7dca80d
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 17045-17060 (2022)
In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters a
Externí odkaz:
https://doaj.org/article/af5c1a46d4b748238641010b7a25bd5f