Results 41 to 50 of about 21,710,590 (82)
A certain two-term exponential sum and its fourth power means
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang Jin, Zhang Wenpeng
openaire +2 more sources
On the General Dedekind Sums and Two-Term Exponential Sums
, 2020 We use the analytic methods and the properties of Gauss sums to study the computational problem of one kind hybrid mean value involving the general Dedekind sums and the two-term exponential sums, and give an interesting computational formula for ...
Wenpeng Zhang, Junli Zhang
core
, 2018 We give a new bound on colinear triples in subgroups of prime finite fields and use it to give some new bounds on exponential sums with ...
Shparlinski, Igor ; https://orcid.org/ +3 more
core +1 more source
An exact renormalization formula for Gaussian exponential sums and applications
, 2009 In the present paper, we derive a renormalization formula ``à la Hardy-Littlewood'' for the Gaussian exponential sums with an exact formula for the remainder term.
Klopp, Frédéric, Fedotov, Alexander
core +3 more sources
Feynman integrals, hypergeometric functions and nested sums [PDF]
, 2009 Bejdakic E. Feynman integrals, hypergeometric functions and nested sums. Bielefeld (Germany): Bielefeld University; 2009.In this thesis, we present analytical expansion results of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions ...
Bejdakic, Ervin
core
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
core +1 more source
On the Fourth Power Mean of the Two-Term Exponential Sums
, 2020 The main purpose of this paper is to use the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of two-term exponential sums and give an interesting identity and asymptotic formula for ...
Wenpeng Zhang, Han Zhang
core
DISTRIBUTION OF INTEGER LATTICE POINTS IN A BALL CENTRED AT A DIOPHANTINE POINT [PDF]
, 2010 We study the variance of the fluctuations in the number of lattice points in a ball and in a thin spherical shell of large radius centred at a Diophantine ...
Kang, H, Sobolev, AV
core
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
core +1 more source
Some Nonlinear Exponential Smoothing Models are Unstable [PDF]
This paper discusses the instability of eleven nonlinear state space models that underly exponential smoothing. Hyndman et al. (2002) proposed a framework of 24 state space models for exponential smoothing, including the well-known simple exponential ...
Rob J Hyndman, Muhammad Akram
core