Results 11 to 20 of about 387,303 (294)
New Mixed Exponential Sums and Their Application [PDF]
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
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Exponential sums and additive combinatorics [PDF]
, 2020 In this thesis we provide new results in additive combinatorics which in turn lead us to new bounds of certain exponential sums. We also use known bounds on exponential and character sums to give new results in additive combinatorics. Specifically we will see how bounds on some quantities from additive combinatorics appear naturally when trying to ...
Macourt, Simon, Macourt, S.
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A Note on Sums of Powers [PDF]
, 2007 We improve a result of Bennett concerning certain sequences involving sums of powers of positive ...
Gao, Peng
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From Oscillatory Integrals and Sublevel Sets to Polynomial Congruences and Character Sums [PDF]
, 2010 We present a slight extension of a classical lemma of Hensel and give various applications to polynomial congruences and character sums; in particular, we give a new proof of a classical result of Hua on complete exponential sums.
James Wright, Wright, James
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, 2002 There is a body of work in the literature on various restricted sums of the number of divisors of an integer function including that described in [2-9, 11] and summarised in Section 2 ...
Broughan, Kevin A.
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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
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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
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On certain exponential and character sums [PDF]
, 2017 This thesis considers four distinct problems in the area of exponential and character sums. The strategy used to approach each problem can be considered as falling roughly into what is known as Vinogradov's method.
Kerr, Bryce
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Israel Journal of Mathematics, 2000 15 pages, to appear in Israel J ...
Adolphson, Alan, Sperber, Steven
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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
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