Results 51 to 60 of about 2,094 (162)

Limit Conjectures in Number Theory, Lehmer's Conjecture, Conjecture of Schinzel-Zassenhaus, dynamical zeta function of the beta-shift: Part 2.-- Dynamical zeta function of the beta-shift.Beta-transformation, Perron-Frobenius operators, transfer operators, generalized Fredholm determinants, kneading determinants of Milnor and Thurston, Parry Upper functions, some results from ergodic theory

open access: yes, 2018
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L functions, zeta functions, polyzeta functions and dynamical zeta functions will be held on the scientific campus of Le-Bourget-du-Lac, close to the ...
Verger-Gaugry, Jean-Louis
core  

A rigidity theorem for translates of uniformly convergent Dirichlet series

open access: yes, 2020
It is well known that the Riemann zeta function, as well as several other $L$-functions, is universal in the strip $1/2<1$; this is certainly not true for $sigma>1$.
A. PERELLI, M. RIGHETTI
core  

Fast algorithms for multiple evaluations of the Riemann zeta function

open access: yes, 1988
The best previously known algorithm for evaluating the Riemann zeta function, ζ ( σ + i t ) \zeta (\sigma + it) , with σ \sigma bounded and t t large to ...
A. Schönhage, A. M. Odlyzko
core   +1 more source

The mathematical research of William Parry FRS [PDF]

open access: yes, 2008
In this article we survey the mathematical research of the late William (Bill) Parry ...
Walters, Peter   +3 more
core   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

open access: yesMathematische Nachrichten, Volume 299, Issue 4, Page 704-763, April 2026.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt   +2 more
wiley   +1 more source

New integral representations for the square of the Riemann zeta-function [PDF]

open access: yes, 1997
Introduction. The recent discovery of an analogue of the Riemann-Siegel integral formula for Dirichlet series associated with cusp forms [2] naturally raises the question whether similar formulas might exist for other types of zeta functions.
Guthmann, Andreas
core  

Excursions in multiplicative number theory

open access: yes, 2022
This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring ...
Ramaré, Olivier, Ramaré, O.
core   +1 more source

Limit Conjectures in Number Theory, Lehmer's Conjecture, Conjecture of Schinzel-Zassenhaus, Dynamical Zeta Function of the Beta-shift: Part 3.-- Rényi-Parry Dynamical System, Lacunarity, Lenticularity.Conditions of Parry, dynamics of Perron numbers, in real algebraic number basis. Geometry and Identification of the Zeroes of the Parry Upper Functions, Solomyak's Fractal, Questions of Rationality, Dichotomy of Carlson-Polya

open access: yes, 2018
This Summer School on the Theory of Motives and the Theory of Numbers, at the crossroad of several L functions, zeta functions, polyzeta functions and dynamical zeta functions will be held on the scientific campus of Le-Bourget-du-Lac, close to the ...
Verger-Gaugry, Jean-Louis
core  

СМЕШАННАЯ СОВМЕСТНАЯ УНИВЕРСАЛЬНОСТЬ ДЛЯ L-ФУНКЦИЙ КЛАССА СЕЛЬБЕРГА И ПЕРИОДИЧЕСКИХ ДЗЕТА-ФУНКЦИЙ ГУРВИЦА

open access: yes, 2016
In 1975, a Russian mathematician S. M. Voronin discovered the universality property of the Riemann zeta-function ζ(s), s = σ+it. Roughly speaking, this means that analytic functions from a wide class can be approximated uniformly on compact subsets of ...
Р. Мацайтене   +1 more
core   +1 more source

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