Results 81 to 90 of about 82,476 (235)
A new generalization of the Riemann zeta function and its difference equation
Advances in Difference Equations, 2011 We have introduced a new generalization of the Riemann zeta function. A special case of our generalization converges locally uniformly to the Riemann zeta function in the critical strip.
Qadir Asghar +2 more
doaj
Universality of the Riemann zeta-function
Journal of Number Theory, 2010 AbstractIn 1975, S.M. Voronin proved the universality of the Riemann zeta-function ζ(s). This means that every non-vanishing analytic function can be approximated uniformly on compact subsets of the critical strip by shifts ζ(s+iτ). In the paper, we consider the functions F(ζ(s)) which are universal in the Voronin sense.
Antanas Laurinčikas +1 more
openaire +2 more sources
Optimizing calibration designs with uncertainty in abilities
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Before items can be implemented in a test, the item characteristics need to be calibrated through pretesting. To achieve high‐quality tests, it's crucial to maximize the precision of estimates obtained during item calibration. Higher precision can be attained if calibration items are allocated to examinees based on their individual abilities ...
Jonas Bjermo +2 more
wiley +1 more source
A Derivation of π(n) Based on a Stability Analysis of the Riemann-Zeta Function [PDF]
, 2010 The prime-number counting function π(n), which is significant in the prime number theorem, is derived by analyzing the region of convergence of the real-part of the Riemann- Zeta function using the unilateral z-transform.
Haranas, Ioannis, Harney, Michael
core +1 more source
Fractional gaussian noise: Spectral density and estimation methods
Journal of Time Series Analysis, EarlyView.The fractional Brownian motion (fBm) process, governed by a fractional parameter H∈(0,1), is a continuous‐time Gaussian process with its increment being the fractional Gaussian noise (fGn). This article first provides a computationally feasible expression for the spectral density of fGn.
Shuping Shi, Jun Yu, Chen Zhang
wiley +1 more source
Cointegrating Polynomial Regressions With Power Law Trends
Journal of Time Series Analysis, EarlyView.ABSTRACT The common practice in cointegrating polynomial regressions (CPRs) often confines nonlinearities in the variable of interest to stochastic trends, thereby overlooking the possibility that they may be caused by deterministic components. As an extension, we propose univariate and multivariate CPRs that incorporate power law deterministic trends.
Yicong Lin, Hanno Reuvers
wiley +1 more source
The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
, 2017 Improving earlier work of Balasubramanian, Conrey and Heath-Brown [BCHB85], we obtain an asymptotic formula for the mean-square of the Riemann zetafunction times an arbitrary Dirichlet polynomial of length T , with δ = 0.01515 . . .. As an application we
S. Bettin +2 more
semanticscholar +1 more source
Statistical disaggregation—A Monte Carlo approach for imputation under constraints
Scandinavian Journal of Statistics, EarlyView.Abstract Equality‐constrained models naturally arise in problems in which the measurements are taken at different levels of resolution. The challenge in this setting is that the models usually induce a joint distribution which is intractable. Resorting to instead sampling from the joint distribution by means of a Monte Carlo approach is also ...
Shenggang Hu +5 more
wiley +1 more source
Odd logarithmic moments of the Riemann zeta-function
Lietuvos Matematikos Rinkinys, 1999 There is not abstract.
Antanas Laurinčikas
doaj +1 more source
Metamaterials and Cesàro convergence
AIP Advances, 2020 In this paper, we show that the linear dielectrics and magnetic materials in matter obey a special kind of mathematical property known as Cesàro convergence.
Yuganand Nellambakam +1 more
doaj +1 more source