Results 71 to 80 of about 6,490,162 (222)

Preface to the special issue on “Old records for new knowledge”

Geoscience Data Journal, Volume 11, Issue 4, Page 357-364, October 2024.
Studying a changing world requires observations going back in time to extend and contextualize our latest scientific knowledge. Old legacy data exist in non‐digital formats. Thus, techniques and methodologies for the preservation, dissemination, interpretation, homogenization, calibration, and use of such legacy data and their associated metadata, as ...
Josep Batlló, Hisashi Hayakawa, Victoria Slonosky, Richard I. Crouthamel   +3 more
wiley   +1 more source

Difference independence of the Riemann zeta function

, 2006
It is proved that the Riemann zeta function does not satisfy any nontrivial algebraic difference equation whose coefficients are meromorphic functions $\phi$ with Nevanlinna characteristic satisfying $T(r, \phi)=o(r)$ as $r\to \infty$Comment: To appear ...
Chiang, Yik-Man, Feng, Shaoji
core   +3 more sources

On the structure of Nevanlinna measures

Mathematische Nachrichten, Volume 297, Issue 7, Page 2488-2516, July 2024.
Abstract In this paper, we study the structural properties of Nevanlinna measures, that is, Borel measures that arise in the integral representation of Herglotz–Nevanlinna functions. In particular, we give a characterization of these measures in terms of their Fourier transform, characterize measures supported on hyperplanes including extremal measures,
Mitja Nedic, Eero Saksman
wiley   +1 more source

Entire solutions of two certain Fermat-type ordinary differential equations

Open Mathematics, 2023
In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
doaj   +1 more source

Collective and static properties of model two-component plasmas

, 2007
Classical MD data on the charge-charge dynamic structure factor of two-component plasmas (TCP) modeled in Phys. Rev. A 23, 2041 (1981) are analyzed using the sum rules and other exact relations.
A. Askaruly, A. E. Davletov, C. Deutsch, C. Deutsch, C. Deutsch, D. Ballester, G. M. Meirkanova, I. M. Tkachenko, L. D. Landau, M. G. Krein, N. I. Akhiezer, S. Albeverio, S. Ichimaru, S. Ichimaru, V. I. Perel’, V. I. Perel’, V. L. Ginzburg, V. L. Ginzburg, V. M. Adamyan, V. M. Adamyan, V. M. Adamyan, V. V. Berestetskii, Yu. V. Arkhipov   +22 more
core   +1 more source

Wetzel families and the continuum

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract We provide answers to a question brought up by Erdős about the construction of Wetzel families in the absence of the continuum hypothesis: A Wetzel family is a family F$\mathcal {F}$ of entire functions on the complex plane which pointwise assumes fewer than |F|$\vert \mathcal {F} \vert$ values.
Jonathan Schilhan, Thilo Weinert
wiley   +1 more source

Nevanlinna Analytical Continuation of the Central Charge in 2D Conformal Field Theory

Condensed Matter
We present an analytic continuation of the central charge c in two-dimensional conformal field theory (2D CFT), modeled as a Nevanlinna function—an analytic map from the upper half-plane to itself.
Bernardo Barbiellini
doaj   +1 more source

Shift invariant subspaces in growth spaces and sets of finite entropy

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract We investigate shift invariant subspaces within the realm of analytic functions in the unit disc, whose radial growth is determined by a majorant w$w$. Our main result offers a complete characterization of the shift invariant subspaces generated by Nevanlinna class functions within the aforementioned class of growth spaces.
Adem Limani
wiley   +1 more source

The Nevanlinna matrix of the truncated Hausdorff matrix moment problem via orthogonal matrix polynomials on [a,b] for the case of an even number of moments

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
The scalar moment problem was first introduced by T. J. Stieltjes in his work ``Recherches sur les fractions continues'' Annals of the Faculty of Sciences of Toulouse 8, 1--122, (1895).
Б. Е. Медіна-Ернандес
doaj   +1 more source

Transient Offset in 14C After the Carrington Event Recorded by Polar Tree Rings

Geophysical Research Letters, Volume 51, Issue 5, 16 March 2024.
Abstract The Carrington event of 1859 has been the strongest solar flare in the observational history. It plays a crucial role in shedding light on the frequency and impacts of the past and future Solar Energetic Particle (SEP) events on human societies. We address the impact of the Carrington event by measuring tree‐ring 14C with multiple replications
Joonas Uusitalo, Kseniia Golubenko, Laura Arppe, Nicolas Brehm, Thomas Hackman, Hisashi Hayakawa, Samuli Helama, Kenichiro Mizohata, Fusa Miyake, Harri Mäkinen, Pekka Nöjd, Eija Tanskanen, Fuyuki Tokanai, Eugene Rozanov, Lukas Wacker, Ilya Usoskin, Markku Oinonen   +16 more
wiley   +1 more source