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The object of this paper is to generalize a theorem on the binomial coefficient [4] to the case in an arithmetic progression. We will also give a slightly stronger result than Langevin's [2].

General Mathematics · Mathematics 2009-09-15 Shaohua Zhang

This paper also has excessove overlap with the following papers also written by the authors or their collaborators: gr-qc/0502060, gr-qc/0606028, gr-qc/0511095, gr-qc/0505078, gr-qc/0603044, gr-qc/0608014, gr-qc/0510123, gr-qc/0607109,…

General Relativity and Quantum Cosmology · Physics 2019-10-21 O. Aydogdu , M. Salti , M. Korunur , A. Havare

This is the original paper appeared in the book "Elliptic and Parabolic Methods in Geometry (Minneapolis, MN,1994), A K Peters, Wellesley, MA, (1996)" (p.1-16), except with a few minor modifications as described at the end of the paper (on…

Differential Geometry · Mathematics 2012-03-22 Huai-Dong Cao

Certain comments on the paper of Yu.V. Orlov, B. F. Irgaziev and L. I. Nikitina published in Phys.At.Nuclei, {\bf 73} (2010) 757 are made.

Nuclear Theory · Physics 2010-06-17 R. Yarmukhamedov

This paper describes the theory of Minkowski problems for geometric measures in convex geometric analysis. The theory goes back to Minkowski and Aleksandrov and has been developed extensively in recent years. The paper surveys classical and…

Metric Geometry · Mathematics 2025-02-11 Yong Huang , Deane Yang , Gaoyang Zhzng

English translation of "Bemerkungen zur allgemein-relativistischen Fassung der Quantentheorie", originally published in {\em Sitzber. kgl.-preu{\ss}. Akad. Wiss. Berlin, Sitzung der phys.-math. Klasse} {\bf XXIV} (1932) 346--354.

History and Philosophy of Physics · Physics 2025-03-18 A. E. S. Hartmann

Preliminary version of Chapter 2 in the book "Encyclopedia of Special functions: The Askey-Bateman Project, Vol. 2: Multivariate special functions", T. H. Koornwinder and J. V. Stokman (eds.), Cambridge University Press, 2021.

Classical Analysis and ODEs · Mathematics 2021-05-05 Yuan Xu

This is an old article of 2000. Its aim is to illustrate how a Lie-theoretic result of Zelmanov enables one to treat various problems in group theory.

Group Theory · Mathematics 2017-06-27 Pavel Shumyatsky

A compendium for outsiders.

High Energy Physics - Phenomenology · Physics 2022-05-04 Chris Quigg

In this paper we study the genralized q-Euler numbers and polynomials. From our results, we derive some interesting congruences related tothe generalized q-Euler numbers.

Number Theory · Mathematics 2009-10-15 Kyoung-Ho Park , Young-Hee Kim , Taekyun Kim

This is an English (annotated) translation of the German paper by Max Planck (1916) "On the absolute entropy of monatomic bodies" (\"Uber die absolute Entropie einatomiger K\"orper).

History and Philosophy of Physics · Physics 2024-04-02 Pascal Marquet , Max Planck

We generalize and slight improve the result of I. I. Sharapudinov [Mat. Zametki, 1996, Volume 59, Issue 2, 291--302]. Some applications to the de la Vall\'{e}e Poussin operator will also be given.

Classical Analysis and ODEs · Mathematics 2019-04-08 Wlodzimierz Lenski , Bogdan Szal

In this paper we introduce the generalization of Multi Poly-Euler polynomials and we investigate some relationship involving Multi Poly-Euler polynomials. Obtaining a closed formula for generalization of Multi Poly-Euler numbers therefore…

Number Theory · Mathematics 2014-01-28 Hassan Jolany , Mohsen Aliabadi , Roberto B. Corcino , M. R. Darafsheh

Addendum to the paper Combinatorics of the Modular Group II The Kontsevich integrals, hep-th/9201001, by C. Itzykson and J.-B. Zuber (3 pages)

High Energy Physics - Theory · Physics 2008-02-03 C. Itzykson , J. -B. Zuber

We extend the classical Pohozaev's identity to semilinear elliptic systems of Hamiltonian type, providing a simpler approach, and a generalization, of the results of E. Mitidieri [6], R.C.A.M. Van der Vorst [14], and Y. Bozhkov and E.…

Analysis of PDEs · Mathematics 2016-10-27 Philip Korman

This paper has inappropriate amounts of overlap with the following papers also written by the authors or their collaborators: gr-qc/0506135, gr-qc/0207026, gr-qc/0502059, gr-qc/0502061, gr-qc/0510037, and others.

General Relativity and Quantum Cosmology · Physics 2019-10-21 Ali Havare , Murat Korunur , Oktay Aydogdu , Mustafa Salti , Taylan Yetkin

This paper has been withdrawn by the author due to some errors.

Analysis of PDEs · Mathematics 2007-12-27 G. Liu

The Cauchy-problem for the generalized Kadomtsev-Petviashvili-II equation $$u_t + u_{xxx} + \partial_x^{-1}u_{yy}= (u^l)_x, \quad l \ge 3,$$ is shown to be locally well-posed in almost critical anisotropic Sobolev spaces. The proof combines…

Analysis of PDEs · Mathematics 2009-04-10 Axel Gruenrock

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

Computation · Statistics 2013-07-01 Somak Dutta , Sourabh Bhattacharya
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