Results 31 to 40 of about 168,623 (324)

A unifying computational framework for novel estimates involving discrete fractional calculus approaches

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, Yu-Ming Chu, Jagdev Singh, Devendra Kumar   +3 more
doaj   +1 more source

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.
openaire   +2 more sources

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
doaj   +1 more source

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, M. AHSANULLAH, V. B. NEVZOROV   +2 more
doaj   +1 more source

The Fourth Hybrid Power Mean Involving the Character Sums and Exponential Sums

Mathematics
In 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
doaj   +1 more source

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
doaj   +1 more source

BMO-estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

, 2013
It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U., Gogoladze, L., Karagulyan, G.   +2 more
core   +1 more source

On Katz's $(A,B)$-exponential sums [PDF]

, 2020
We deduce Katz's theorems for $(A,B)$-exponential sums over finite fields using $\ell$-adic cohomology and a theorem of Denef-Loeser, removing the hypothesis that $A+B$ is relatively prime to the characteristic $p$.
Fu, Lei, Wan, Daqing
core   +1 more source

Picturesque exponential sums. II:

Journal für die reine und angewandte Mathematik (Crelles Journal), 1979
Let k be a fixed positive integer ⩾2 and let ζ = exp(2πi/k). For any integer n ⩾0 we define b(n) to be the sum of the digits of n when written to the base k.
Lehmer, D.H., Lehmer, Emma
openaire   +1 more source

Moments and oscillations of exponential sums related to cusp forms

, 2016
We consider large values of long linear exponential sums involving Fourier coefficients of holomorphic cusp forms. The sums we consider involve rational linear twists $e(nh/k)$ with sufficiently small denominators.
Vesalainen, Esa V.
core   +1 more source