Results 21 to 30 of about 165,955 (179)
The hybrid mean value of Dedekind sums and two-term exponential sums
Open Mathematics, 2016 In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and ...
Leran Chang, Xiaoxue Li
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The hybrid power mean of the quartic Gauss sums and the two-term exponential sums
Advances in Difference Equations, 2018 In this paper, we use the analytic method and the properties of classical Gauss sums to study the computational problems of one kind hybrid power mean of quartic Gauss sums and two-term exponential sums, and give an interesting fourth-order linear ...
Xiaoxue Li
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Alexandria Engineering Journal, 2021 The aim of this paper is to evaluate the potential improvement of classification results in the frame of discrete proportional fractional operator. The nonlocal kernel of the generalized proportional fractional sum depending on ĥ-discrete exponential ...
Saima Rashid +3 more
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Extended Wang sum and associated products.
PLoS ONE, 2022 The Wang sum involving the exponential sums of Lerch's Zeta functions is extended to the finite sum of the Huwitz-Lerch Zeta function to derive sums and products involving cosine and tangent trigonometric functions.
Robert Reynolds, Allan Stauffer
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Limit curves for zeros of sections of exponential integrals [PDF]
, 2014 We are interested in studying the asymptotic behavior of the zeros of partial sums of power series for a family of entire functions defined by exponential integrals.
Vargas, Antonio R.
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Record Ranges for Samples From Asymmetrical Laplace Distributions
Journal of Statistical Theory and Applications (JSTA), 2018 The representations of record ranges via sums of independent identically distributed exponential random variables are obtained for asymmetrical Laplace distributions.
I.V. BELKOV +2 more
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Difference Sets and Positive Exponential Sums I. General Properties [PDF]
, 2014 We describe general connections between intersective properties of sets in Abelian groups and positive exponential sums. In particular, given a set A the maximal size of a set whose difference set avoids A will be related to positive exponential sums ...
Matolcsi, Máté, Ruzsa, Z. Imre
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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2020 We obtain new bounds of exponential sums modulo a prime $p$ with binomials $ax^k + bx^n$. In particular, for $k=1$, we improve the bound of Karatsuba (1967) from $O(n^{1/4} p^{3/4})$ to $O\left(p^{3/4} + n^{1/3}p^{2/3}\right)$ for any $n$, and then use it to improve the bound of Akulinichev (1965) from $O(p^{5/6})$ to $O(p^{4/5})$ for $n | (p-1)$.
Shparlinski, Igor, Voloch, Felipe
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The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums
MathematicsIn 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.
Guohui Chen, Tingting Du
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On the two-term exponential sums and character sums of polynomials
Open Mathematics, 2019 The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
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