Results 11 to 20 of about 168,623 (324)
One Kind New Hybrid Power Mean and Its Computational Formulae
Journal of Mathematics, 2022 The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two-term ...
Li Wang, Xuexia Wang
doaj +1 more source
Some new hybrid power mean formulae of trigonometric sums
Advances in Difference Equations, 2020 We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formulae for them.
Li Chen, Zhuoyu Chen
doaj +1 more source
One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums
Journal of Mathematics, 2021 The main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting
Xiaoxue Li, Li Chen
doaj +1 more source
Sums of Powers and Special Polynomials
Discussiones Mathematicae - General Algebra and Applications, 2020 In this paper, we discuss sums of powers 1p + 2p + + np and compute both the exponential and ordinary generating functions for these sums. We express these generating functions in terms of exponential and geometric polynomials and also show their ...
Boyadzhiev Khristo N.
doaj +1 more source
On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums
Journal of Mathematics, 2021 In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the ...
Shaofan Cao, Tingting Wang
doaj +1 more source
Bounds for the Rate of Convergence in the Generalized Rényi Theorem
Mathematics, 2022 In the paper, an overview is presented of the results on the convergence rate bounds in limit theorems concerning geometric random sums and their generalizations to mixed Poisson random sums, including the case where the mixing law is itself a mixed ...
Victor Korolev
doaj +1 more source
On Some Exponential Sums [PDF]
Proceedings of the National Academy of Sciences, 1948 Verf. entwickelt den Zusammenhang zwischen zyklischen algebraischen Kongruenzfunktionen\-körpern einerseits und Charakter- bzw. Exponentialsummen andrerseits. Seiner einleitenden Bemerkung, daß er eine genaue Formulierung dieses Zusammenhangs in der Literatur nicht finden konnte, sei durch den Hinweis auf folgende Arbeiten begegnet: Ref. [J.
openaire +3 more sources
Journal of Mathematics, 2021 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 hybrid power mean involving the quartic Gauss sums and two-term exponential sums and give an ...
Lan Qi, Xingxing Lv
doaj +1 more source
Zeros of Exponential Sums [PDF]
Proceedings of the American Mathematical Society, 1965 1. M. Marden, The geometry of the zeros of a polynomial in a complex variable, Math. Surveys No. 3, Amer. Math. Soc., Providence, R. I., f949. 2. A. Ostrowski, Recherches sur la methode de Graeffe et les zdros des polynomes et des s6ries de Laurent, Acta Math. 72 (1940), 99-257. 3. Z.
openaire +2 more sources
New Mixed Exponential Sums and Their Application
Journal of Applied Mathematics, 2014 The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting ...
Yu Zhan, Xiaoxue Li
doaj +1 more source