Using weighted power mean for equivalent square estimation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Applied Clinical Medical Physics"
DOI: 10.1002/acm2.12201
Abstract: Abstract Purpose Equivalent Square (ES) enables the calculation of many radiation quantities for rectangular treatment fields, based only on measurements from square fields. While it is widely applied in radiotherapy, its accuracy, especially for extremely… read more here.
Keywords: estimation; formula; power mean; equivalent square ... See more keywords
A Conversion Formula for One Kind Fourth Power Mean of Kloosterman Sums and the Character Sums Module p
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematics"
DOI: 10.1155/jom/9251730
Abstract: The primary contribution of this paper is to research one kind special Kloosterman sums using analytic method. We translate one kind fourth power mean of the Kloosterman sums into the character sums of one kind… read more here.
Keywords: kind; fourth power; power mean; kloosterman sums ... See more keywords
The hybrid power mean of quartic Gauss sums and Kloosterman sums
Sign Up to like & getrecommendations! Published in 2017 at "Open Mathematics"
DOI: 10.1515/math-2017-0014
Abstract: Abstract The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic… read more here.
Keywords: quartic gauss; gauss; hybrid power; power mean ... See more keywords
On the generalized exponential sums and their fourth power mean
Sign Up to like & getrecommendations! Published in 2024 at "Open Mathematics"
DOI: 10.1515/math-2023-0187
Abstract: Abstract 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… read more here.
Keywords: fourth power; generalized exponential; exponential sums; power mean ... See more keywords
One special kind of Kloosterman sum and its fourth-power mean
Sign Up to like & getrecommendations! Published in 2024 at "Open Mathematics"
DOI: 10.1515/math-2024-0067
Abstract: Abstract 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… read more here.
Keywords: special kind; kloosterman; fourth power; one special ... See more keywords
Generalized quadratic Gauss sums and their 2mth power mean
Sign Up to like & getrecommendations! Published in 2024 at "Open Mathematics"
DOI: 10.1515/math-2024-0074
Abstract: Abstract The main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to… read more here.
Keywords: gauss sums; generalized quadratic; power mean; quadratic gauss ... See more keywords
The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13101680
Abstract: In this paper, we consider the fourth hybrid power mean involving two-term exponential sums and third-order character sum modulo p, a topic of significant importance in analytic number theory. These results generalize prior research, and… read more here.
Keywords: hybrid power; fourth hybrid; exponential sums; mean involving ... See more keywords