Results 31 to 40 of about 1,424,186 (337)
Incidence Results and Bounds Of Trilinear and Quadrilinear Exponential Sums [PDF]
SIAM Journal on Discrete Mathematics, 2017 We give a new bound on the number of collinear triples for two arbitrary subsets of a finite field. This improves on existing results which rely on the Cauchy inequality.
Simon Macourt
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A note on exponential sums [PDF]
Pacific Journal of Mathematics, 1969 The paper begins with a few applications of Rédei's theorem on sums of the form \( B=\sum_{s=1}^{p-1} c_{\delta} \zeta^{s} \) where \( c_{s}= \pm 1 \) and \( \zeta \) is a primitive \( p \)-th root of unity. (See this Zbl. 29, 109.) For instance it is proved that \( |B|^{2} \equiv 0(\bmod p) \) if and only if \( B \) is a Gauss sum, i. e.
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Bounds on exponential sums with quadrinomials [PDF]
Journal of Number Theory, 2017 We improve an existing result on exponential quadrilinear sums in the case of sums over multiplicative subgroups of a finite field and use it to give a new bound on exponential sums with quadrinomials.
Simon Macourt
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T-adic exponential sums over finite fields [PDF]
, 2009 We introduce T-adic exponential sums associated to a Laurent polynomial f. They interpolate all classical pm-power order exponential sums associated to f. We establish the Hodge bound for the Newton polygon of L-functions of T-adic exponential sums. This
Wan, Daqing, Liu, Chunlei
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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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On Tractable Exponential Sums [PDF]
, 2010 We consider the problem of evaluating certain exponential sums. These sums take the form $\sum_{x_1,...,x_n \in Z_N} e^{f(x_1,...,x_n) {2 πi / N}} $, where each x_i is summed over a ring Z_N, and f(x_1,...,x_n) is a multivariate polynomial with integer coefficients.
Jin-yi Cai +3 more
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Computation of best $$L^{\infty }$$L∞ exponential sums for 1 / x by Remez’ algorithm
Computing and Visualization in Science, 2019 The approximation of the function 1 / x by exponential sums has several interesting applications. It is well known that best approximations with respect to the maximum norm exist.
W. Hackbusch
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Bounds of Trilinear and Quadrilinear Exponential Sums [PDF]
Journal d'Analyse Mathematique, 2016 We use an estimate of Aksoy Yazici, Murphy, Rudnev and Shkredov (2016) on the number of solutions of certain equations involving products and differences of sets in prime finite fields to give an explicit upper bound on trilinear exponential sums which ...
G. Petridis, I. Shparlinski
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On values of exponential sums [PDF]
Proceedings of the American Mathematical Society, 1975 An exponential sum is defined by \[ G ( F ...
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Exponential sums with reducible polynomials
Discrete Analysis, 2019 Exponential sums with reducible polynomials, Discrete Analysis 2019:15, 31 pp. A sequence $(a_n)$ of real numbers in the interval $[0,1]$ is said to be _equidistributed_ if for every subinterval $[a,b]$ of $[0,1]$, the proportion of the $a_n$ that live
Cécile Dartyge, Greg Martin
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