Results 41 to 50 of about 1,424,186 (337)
Sharp Estimates for Proximity of Geometric and Related Sums Distributions to Limit Laws
Mathematics, 2022 The convergence rate in the famous Rényi theorem is studied by means of the Stein method refinement. Namely, it is demonstrated that the new estimate of the convergence rate of the normalized geometric sums to exponential law involving the ideal ...
Alexander Bulinski, Nikolay Slepov
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Israel Journal of Mathematics, 2000 15 pages, to appear in Israel J ...
Adolphson, Alan, Sperber, Steven
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Exponential sums and additive combinatorics
, 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.
Macourt, Simon, Macourt, S.
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Bilinear forms with exponential sums with binomials [PDF]
Journal of Number Theory, 2016 We obtain several estimates for bilinear form with exponential sums with binomials $mx^k + nx^\ell$. In particular we show the existence of nontrivial cancellations between such sums when the coefficients $m$ and $n$ vary over rather sparse sets of ...
Kui Liu, I. Shparlinski, Tianping Zhang
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Modular periodicity of exponential sums of symmetric Boolean functions [PDF]
Discrete Applied Mathematics, 2016 This work brings techniques from the theory of recurrent integer sequences to the problem of balancedness of symmetric Boolean functions. In particular, the periodicity modulo $p$ ($p$ odd prime) of exponential sums of symmetric Boolean functions is ...
F. Castro, Luis A. Medina
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ON HEILBRONN'S EXPONENTIAL SUM [PDF]
The Quarterly Journal of Mathematics, 2012 In the paper we prove a new upper bound for Heilbronn's exponential sum and obtain some applications of our result to distribution of Fermat quotients.
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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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A note on two-term exponential sum and the reciprocal of the quartic Gauss sums
Advances in Difference Equations, 2021 The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
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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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EQUIDISTRIBUTION OF HIGHER DIMENSIONAL GENERALIZED DEDEKIND SUMS AND EXPONENTIAL SUMS
, 2020 We consider generalized Dedekind sums in dimension n, defined as sum of products of values of periodic Bernoulli functions. For the generalized Dedekind sums, we associate a Laurent polynomial.
Lee, Jungyun +2 more
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