Results 71 to 80 of about 637 (178)

An elegant model of the geodesic flow on the modular surface

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
wiley   +1 more source

Isotopies of complete minimal surfaces of finite total curvature

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón, Franc Forstnerič, Finnur Lárusson   +2 more
wiley   +1 more source

Definability of complex functions in o‐minimal structures

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We prove that holomorphic continuations of functions in the classes an∗$\mathbf {an}^*$ and G$\mathcal {G}$ are definable in the o‐minimal structures Ran∗$\mathbb {R}_{\operatorname{an}^*}$ and RG$\mathbb {R}_{\mathcal {G}}$, respectively. More specifically, we give complex domains on which the holomorphic continuations are definable and show ...
Adele Padgett, Patrick Speissegger
wiley   +1 more source

Inequalities for Riemann’s zeta function

Portugaliae Mathematica, 2009
Let ζ and Λ be the Riemann zeta function and the von Mangoldt function, respectively. Further, let c > 0
openaire   +2 more sources

Some computational formulas related the Riemann zeta-function tails

Journal of Inequalities and Applications, 2016
In this paper we present two computational formulae for one kind of reciprocal sums related to the Riemann zeta-function at integer points s = 4 , 5 $s=4,5$ , which answers an open problem proposed by Lin (J. Inequal. Appl. 2016:32, 2016).
Hongmin Xu
doaj   +1 more source

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

Mathematika, 2022
Yang D.
europepmc   +1 more source

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

Joint universality of the Riemann zeta-function and Lerch zeta-functions

Nonlinear Analysis, 2013
In the paper, we prove a joint universality theorem for the Riemann zeta-function and a collection of Lerch zeta-functions with parameters algebraically independent over the field of rational numbers.
Antanas Laurinčikas, Renata Macaitienė˙   +1 more
doaj  

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

Partial Sums of the Hurwitz and Allied Functions and Their Special Values

Mathematics
We supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang, Ruiyang Li, Takako Kuzumaki   +2 more
doaj   +1 more source