Results 1 to 10 of about 137,956 (119)
Fast methods to compute the Riemann zeta function [PDF]
, 2011 The Riemann zeta function on the critical line can be computed using a straightforward application of the Riemann-Siegel formula, Sch\"onhage's method, or Heath-Brown's method.
Hiary, Ghaith Ayesh
core +1 more source
On the Voltage Response of Homogeneous Earth Models in Central Loop Electromagnetic Sounding
International Journal of Antennas and Propagation, 2022 An accurate series-form explicit expression is derived for the voltage induced in the small receiving loop of a central loop electromagnetic sounding system positioned above a homogeneous earth model.
Mauro Parise
doaj +1 more source
Retraction Note: On the fourth power mean of the two-term exponential sums [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhu, Minhui, Han, Di
openaire +2 more sources
The fourth power mean value of one kind two-term exponential sums
AIMS Mathematics, 2022 <abstract><p>In this paper, based on the analytic method and the properties of Gauss sums, we study the computational problems of the fourth power mean value of one kind two-term exponential sums through the classification and estimation of Dirichlet characters and give it a calculation formula or asymptotic formula in different conditions.&
Jinmin Yu, Renjie Yuan, Tingting Wang
openaire +2 more sources
On the fourth power mean of one special two-term exponential sums
AIMS Mathematics, 2023 <abstract><p>The main purpose of this paper is using the elementary methods and the number of the solutions of some congruence equations to study the calculating problem of the fourth power mean of one special two-term exponential sums, and give an exact calculating formula for it.</p></abstract>
Wenpeng Zhang, Yuanyuan Meng
openaire +2 more sources
New sum-product type estimates over finite fields [PDF]
, 2015 Let $F$ be a field with positive odd characteristic $p$. We prove a variety of new sum-product type estimates over $F$. They are derived from the theorem that the number of incidences between $m$ points and $n$ planes in the projective three-space $PG(3 ...
Roche-Newton, Oliver +2 more
core +3 more sources
The Bombieri-Vinogradov theorem for nilsequences
Discrete Analysis, 2021 The Bombieri-Vinogradov theorem for nilsequences, Discrete Analysis 2021:21, 55 pp. The prime number theorem asserts that the density of the primes in the vicinity of a large integer $n$ is approximately $1/\log n$, or equivalently that the number of ...
Xuancheng Shao, Joni Teräväinen
doaj +1 more source
AIMS Mathematics, 2021 <abstract><p>We consider the calculation problem of one kind hybrid power mean involving the character sums of polynomials and two-term exponential sums modulo $ p $, an odd prime, and use the analytic method and the properties of classical Gauss sums to give some identities and asymptotic formulas for them.</p></abstract>
Wenpeng Zhang, Jiafan Zhang
openaire +2 more sources
Generalization of the coupled dipole method to periodic structures [PDF]
, 2003 We present a generalization of the coupled dipole method to the scattering of light by arbitrary periodic structures. This new formulation of the coupled dipole method relies on the same direct-space discretization scheme that is widely used to study the
A. Lakhtakia +24 more
core +4 more sources
Energies, 2020 In the present paper, global horizontal irradiance (GHI) is modelled and forecasted at time horizons ranging from 30 min to 48 h, thus covering intrahour, intraday and intraweek cases, using online Gaussian process regression (OGPR) and online sparse ...
Hanany Tolba +5 more
doaj +1 more source