Results 61 to 70 of about 637 (178)
Inference on the Attractor Space via Functional Approximation
ABSTRACT This paper discusses semiparametric inference on hypotheses on the cointegration and the attractor spaces for I(1) linear processes with moderately large cross‐sectional dimension. The approach is based on sample canonical correlations and functional approximation of Brownian motions, and it can be applied both to the whole system and or to ...
Massimo Franchi, Paolo Paruolo
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
The Extension of the Riemann’s Zeta Function
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
An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley +1 more source
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley +1 more source
On the fixed‐point proportion of self‐similar groups
Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
wiley +1 more source
On the mean square of the periodic zeta-function. II
In the paper, the error term in the Atkinson type formula for the periodic zeta-function in the critical strip is considered, and an asymptotic formula for its mean square is obtained. This formula generalizes that proved for the Riemann zeta-function.
Sondra Černigova, Antanas Laurinčikas
doaj +1 more source
A new zero‐density estimate for ζ(s)$\zeta (s)$ and the error term in the prime number theorem
Abstract We will provide a new type of zero‐density estimate for ζ(s)$\zeta (s)$ when σ$\sigma$ is sufficiently close to 1. In particular, we will show that N(σ,T)$N(\sigma,T)$ can be bounded by an absolute constant when σ$\sigma$ is sufficiently close to the left edge of the Korobov–Vinogradov zero‐free region.
Chiara Bellotti
wiley +1 more source
A kind of identities related to Riemann zeta-function
The main purpose of this paper is to study a kind of identities related to Riemann zeta-function. We first construct a new sequence involving trigonometric function.
Chen Zhuoyu, Deng Changlin
doaj +1 more source
A mixed joint universality theorem for zeta‐functions
In the paper, a joint universality theorem for the Riemann zeta‐function and a collection of periodic Hurwitz zeta‐functions on approximation of analytic functions is obtained.
Jonas Genys +3 more
doaj +1 more source

