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In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.

General Mathematics · Mathematics 2007-10-02 Mihaly Bencze , Florin Popovici , Florentin Smarandache

The regularization of propagators by means of a complex metric is considered. (The paper is an English translation of the first of two articles in Russian published by the author in 1987-88: V.D. Ivashchuk, Regularization by…

High Energy Physics - Theory · Physics 2019-02-11 V. D. Ivashchuk

Considering the class of almost periodic functions in the Stepanov sense we extend and generalize the results of the first author [4]. as well as the results of L. Leindler [3] and P. Chandra [1,2].

Classical Analysis and ODEs · Mathematics 2012-12-06 Wlodzimierz Lenski , Bogdan Szal

The original proof of the Sharkovsky theorem is presented in full detail. The proof should be accessible to readers with basic Real Analysis background. Although nowadays there are several alternative proofs of this classical result, we…

Dynamical Systems · Mathematics 2017-02-28 Veniamin L. Smirnov , Juan J. Tolosa

We give a new independent proof of a generalised version of the theorem by Rashevskii, which appeared in [Uch. Zapiski Ped. Inst. K. 2 (1938), 83 -- 94] and from which the classical Chow-Rashevskii Theorem follows as a corollary. The proof…

Differential Geometry · Mathematics 2024-07-18 Cristina Giannotti , Andrea Spiro , Marta Zoppello

We introduce a generalization of the method of S. P. Zaitsev. This generalization allows us to prove omega-theorems for the Riemann zeta function and its derivatives in some regions near the line $\mathrm{Re}\,s=1$.

Number Theory · Mathematics 2017-06-23 Alexander Kalmynin

This is an erratum to an earlier paper, "Generalizations of the Poincar\'e-Birkhoff theorem." An error in the statement of one of the theorems is corrected.

Dynamical Systems · Mathematics 2007-05-25 John Franks

As pointed out previously, some of the hypotheses used in the standard discussion of the quantum mechanics neutrino oscillations, recently summarised in the paper `Theory of Neutrino Oscillations' by C.Giunti, lack any physical foundation…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. H. Field

We generalize and prove a result which was first shown by Zippin, and was explicitly formulated by Benyamini.

Functional Analysis · Mathematics 2017-05-31 Petr Hajek , Thomas Schlumprecht , Andras Zsak

In the paper are proved theorems, which amplify the results of my paper "On the difference equation of Poincare type (Part 3)", Max-Plank-Institut fuer Mathematik, Bonn, Preprint Series, 2004, 09, 1-34.

Number Theory · Mathematics 2007-05-23 L. A. Gutnik

Recently R. G. Newton published a comment criticizing the methods and the results of a paper published by the author. His criticism touches on a few key points of the subject and hence deserves a detailed reply. Here is the reply, point by…

High Energy Physics - Theory · Physics 2007-05-23 Nathan Poliatzky

This paper contains an introduction into Ashtekar's reformulation of General Relativity in terms of connection variables. To appear in "Canonical Gravity - From Classical to Quantum", ed. by J. Ehlers and H. Friedrich, Springer Verlag…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Domenico Giulini

This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.

Logic · Mathematics 2011-12-20 Martin Goldstern , Jakob Kellner , Saharon Shelah , Wolfgang Wohofsky

This is an English translation of the paper in which N. I. Akhiezer discovered his famous orthogonal polynomials on two intervals in a connection with a generalization of the Korkin-Zolotarev (Korkine-Zolotaref) problem (see the small…

Classical Analysis and ODEs · Mathematics 2014-01-30 N. I. Akhiezer

Withdrawn by author - Superseded by arXiv:0910.5106 [math.FA].

Complex Variables · Mathematics 2009-10-27 Daniel H. T. Franco

We generalize Goodstein's theorem (Goodstein 1944) and Cichon's independence proof (Cichon 1983) to $\Pi^1_1-\mathrm{CA}_0$ using results from (Wilken 2026). The method is generalizable to stronger notation systems that provide unique terms…

Logic · Mathematics 2026-05-06 Gunnar Wilken

We review our results, published, prepublished or unpublished, on the well-posedness of selected generalized Kadomtsev-Petviashvili hierarchies.

Exactly Solvable and Integrable Systems · Physics 2025-07-23 Jean-Pierre Magnot , Enrique G. Reyes

This addendum presents a relevant stronger consequence of the main theorem of the paper "Higher order stroboscopic averaged functions: a general relationship with Melnikov functions" [arXiv:2011.03663], EJQTDE No. 77 (2021).

Classical Analysis and ODEs · Mathematics 2024-09-11 Douglas D. Novaes

Old paper on the abstract scattering theory (ST) of periodic Hamiltonians. Updating of the references and correction of some minor non-mathematical misprints by H.C. Rosu.

Spectral Theory · Mathematics 2012-12-13 J. Howland

This is a first paper of a series in which we give some generalizations of the Obukhov theorem in the Tucker-Wang approach to Metric- Affine gravity in which we consider more general actions containing scalar and in general fields which do…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Roberto Scipioni