Results 61 to 70 of about 2,094 (162)

Distributions and analytic continuation of Dirichlet series

open access: yes, 2004
This is the second in a series of three papers; the other two are “Summation Formulas, from Poisson and Voronoi to the Present” [Progr. Math. 220 (2004) 419–440] and “Automorphic Distributions, L-functions, and Voronoi Summation for GL(3)” (preprint ...
Miller, Stephen D, Schmid, Wilfried
core   +1 more source

Zeta Functions of Classical Groups and Class Two Nilpotent Groups

open access: yes, 2019
This thesis is concerned with zeta functions and generating series associated with two families of groups that are intimately connected with each other: classical groups and class two nilpotent groups. Indeed, the zeta functions of classical groups count
Admasu, Fikreab Solomon
core  

Расширение теоремы Лауринчикаса — Матсумото.

open access: yes, 2019
In 1975, S. M. Voronin discovered the remarkable universality property of the Riemann zeta-function (). He proved that analytic functions from a wide class can be approximated with a given accuracy by shifts ( + ), ∈ R, of one and the same function ().
Vaiginytė, Adelė,
core   +1 more source

Stieltjes constants of L-functions in the extended Selberg class. [PDF]

open access: yesRamanujan J, 2021
Inoue S, Eddin SS, Suriajaya AI.
europepmc   +1 more source

Asymptotic Estimates for a Class of Summatory Functions

open access: yes, 1998
We establish explicit expressions for bothPandEin ∑n⩽xa(n)=P(x)+E(x)=“principal term”+“error term”, when the (complex) arithmetical function a has a generating function of the formζ(s)Z(s), whereζis the Riemann zeta function, and whereZhas a ...
Balakrishnan, U   +3 more
core   +1 more source

On Zeta Function of Well-rounded Lattices

open access: yes, 2007
A lattice in R^n is called well-rounded (WR) if its minimal vectors with respect to Euclidean norm span R^n. This is an important class of lattices, which comes up frequently in connection with classical optimization problems.
Fukshansky, Lenny
core  

Fonction Zêta de Hurwitz p-adique et irrationalité

open access: yes, 2021
The knowledge on irrationality of p-adic zeta values has recently progressed. The irrationality of zeta_2(2), \zeta_2(3) and of a few other p-adic series of Dirichlet was obtained by F. Calegari. F. Beukers gave a more elementary proof of this result. In
BEL, Pierre
core  

Limit Theorem in the space of continuous functions for the Dirichlet polynomial related with the Riemann zeta-funtion

open access: yes, 1996
. A limit theorem in the space of continuous functions for the Dirichlet polynomial X mT d T (m) m oe T +it ; where d T (m) denote the coefficients of the Dirichlet series expansion of the function i T (s) in the half-plane oe ?
Antanas Laurincikas, De Bordeaux, Oe T
core  

О НУЛЯХ НЕКОТОРЫХ ФУНКЦИЙ, СВЯЗАННЫХ С ПЕРИОДИЧЕСКИМИ ДЗЕТА-ФУНКЦИЯМИ

open access: yes, 2016
In the paper, we obtain that a linear combination of the periodic and periodic Hurwitz zeta-functions, and more general combinations of these functions have infinitely many zeros lying in the right-hand side of the critical strip. В статье полученно, что
A. Laurinˇcikas   +5 more
core   +1 more source

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