Results 81 to 90 of about 71,062 (275)
Statistical disaggregation—A Monte Carlo approach for imputation under constraints
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
A Derivation of π(n) Based on a Stability Analysis of the Riemann-Zeta Function [PDF]
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
Odd logarithmic moments of the Riemann zeta-function
There is not abstract.
Antanas Laurinčikas
doaj +1 more source
Metamaterials and Cesàro convergence
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
Universality of the Riemann zeta-function
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
On Artin's conjecture on average and short character sums
Abstract Let Na(x)$N_a(x)$ denote the number of primes up to x$x$ for which the integer a$a$ is a primitive root. We show that Na(x)$N_a(x)$ satisfies the asymptotic predicted by Artin's conjecture for almost all 1⩽a⩽exp((loglogx)2)$1\leqslant a\leqslant \exp ((\log \log x)^2)$. This improves on a result of Stephens (1969).
Oleksiy Klurman+2 more
wiley +1 more source
The mean square of the product of the Riemann zeta-function with Dirichlet polynomials
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
In this article, we derive a non‐hydrostatic extension to the SWE to solve bottom‐generated waves along with its pressure relation. This relation is built on a linear vertical velocity assumption, leading us to a quadratic pressure profile, where we alternatively write it so that we can solve it by a projection method without ambiguity due to the ...
Kemal Firdaus, Jörn Behrens
wiley +1 more source
Joint universality of some zeta-functions. I
In the paper, the joint universality for the Riemann zeta-function and a collection of periodic Hurwitz zeta functions is discussed and basic results are given.
Santa Račkauskienė+1 more
doaj +1 more source
Riemann zeros from Floquet engineering a trapped-ion qubit
The non-trivial zeros of the Riemann zeta function are central objects in number theory. In particular, they enable one to reproduce the prime numbers. They have also attracted the attention of physicists working in random matrix theory and quantum chaos
Ran He+8 more
doaj +1 more source