Results 91 to 100 of about 552,780 (265)

Analytical expressions for the effective coefficients of fibre‐reinforced composite materials under the influence of inelastic distortions

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 4, April 2025.
Abstract We aim to deduce analytic expressions for the homogenised coefficients that describe the mechanical behaviour of a uniaxially fibre‐reinforced composite material consisting of two solid constituents undergoing inelastic distortions, one representing the extracellular matrix, and the other representing the inclusions that model the fibres ...
Ariel Ramírez‐Torres, Alejandro Roque‐Piedra, Alessandro Giammarini, Alfio Grillo, Reinaldo Rodríguez‐Ramos   +4 more
wiley   +1 more source

A short proof of Helson's conjecture

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1065-1076, April 2025.
Abstract Let α:N→S1$\alpha \colon \mathbb {N}\rightarrow S^1$ be the Steinhaus multiplicative function: a completely multiplicative function such that (α(p))pprime$(\alpha (p))_{p\text{ prime}}$ are i.i.d. random variables uniformly distributed on the complex unit circle S1$S^1$. Helson conjectured that E|∑n⩽xα(n)|=o(x)$\mathbb {E}|\sum _{n\leqslant x}\
Ofir Gorodetsky, Mo Dick Wong
wiley   +1 more source

Strategies To Evaluate The Riemann Zeta Function [PDF]

arXiv, 2012
This paper continues a series of investigations on converging representations for the Riemann Zeta function. We generalize some identities which involve Riemann's zeta function, and moreover we give new series and integrals for the zeta function. The results originate from attempts to extend the zeta function by classical means on the complex plane ...
arxiv  

Extreme values of derivatives of the Riemann zeta function. [PDF]

Mathematika, 2022
Yang D.
europepmc   +1 more source

The Extension of the Riemann’s Zeta Function

International Journal of Basic Sciences and Applied Computing
In mathematics, the search for exact formulas giving all the prime numbers, certain families of prime numbers or the n-th prime number has generally proved to be vain, which has led to contenting oneself with approximate formulas [8]. The purpose of this article is to give a new proof of the Riemann hypothesis [4]-which is closely related to the ...
openaire   +2 more sources

On the periodic zeta-function with rational parameter

Lietuvos Matematikos Rinkinys, 2011
We obtain an asymptotic formula with estimated error term for the fourth power moment of the periodic zeta-function with rational parameter.
Sondra Černigova
doaj   +1 more source

Closed-form formula of Riemann zeta function and eta function for all non-zero given complex numbers via sums of powers of complex functions to disprove Riemann Hypothesis [PDF]

arXiv, 2019
An explicit identity of sums of powers of complex functions presented via this a closed-form formula of Riemann zeta function produced at any given non-zero complex numbers. The closed-form formula showed us Riemann zeta function has no unique solution for any given non-zero complex numbers which means Riemann zeta function is entirely divergent ...
arxiv  

Matrix model for Riemann zeta via its local factors

Nuclear Physics B, 2020
We propose the construction of an ensemble of unitary random matrices (UMM) for the Riemann zeta function. Our approach to this problem is ‘p-iecemeal’, in the sense that we consider each factor in the Euler product representation of the zeta function to
Arghya Chattopadhyay, Parikshit Dutta, Suvankar Dutta, Debashis Ghoshal   +3 more
doaj  

An inequality for the Selberg zeta-function, associated to the compact Riemann surface

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
We consider the absolute values of the Selberg zeta-function, associated to the compact Riemann surface, at places symmetric with respect to the line ℛ(s) = 1/2. We prove an inequality for the Selberg zeta-function, extending the result of R.
Belovas Igoris
doaj   +1 more source

Large gaps between the zeros of the Riemann zeta function [PDF]

arXiv, 2005
We show that the generalized Riemann hypothesis implies that there are infinitely many consecutive zeros of the Riemann zeta function whose spacing is 2.9125 times larger than the average spacing. This is deduced from the calculation of the second moment of the Riemann zeta function multiplied by a Dirichlet polynomial averaged over the zeros of the ...
arxiv