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This chapter amalgamates some foundational developments and calculations in factorization homology.

Algebraic Topology · Mathematics 2019-03-27 David Ayala , John Francis

Corrections are brought to an article of Friesen on continued fractions of a given period.

Number Theory · Mathematics 2014-04-02 Vladimir Pletser

Corrigendum : An inverse problem in corrosion detection:stability estimates, J. Inv. Ill-posed Problems 12 (4) (2004), 349-367.

Analysis of PDEs · Mathematics 2017-03-30 Mourad Choulli

An emended and improved version of the present paper has been archived in math-ph/0505057, and a preliminary account of its content has been published in Phys.Rev.Lett. 92, 60601, (2004). Moreover, in order to prove the relevance of…

Mathematical Physics · Physics 2007-05-23 Roberto Franzosi , Marco Pettini , Lionel Spinelli

Several conjectural continued fractions found with the help of various algorithms are published in this paper.

Number Theory · Mathematics 2017-04-14 Thomas Baruchel

Part I. Some Facts From p-Adic Analysis. Part II. Tables of Integrals.

Mathematical Physics · Physics 2007-05-23 V. S. Vladimirov

An technically interesting proof of a known theorem.

Analysis of PDEs · Mathematics 2007-05-23 Andreas Wannebo

The paper (as posted originally) contains several errors. It has been subsequently split into two papers, the corrected (and accepted for publication) versions appear in the archive as papers cs.CC/0503082 and cs.DM/0503083.

Computational Complexity · Computer Science 2007-05-23 Gabriel Istrate

We consider some of the various formulations of the Revised GCH Theorem presented in Shelah's original paper \cite{SheRGCH}. We compare them and discuss their meaning.

Logic · Mathematics 2023-08-29 Pierre Matet

We correct some oversights in the paper "A spectral sequence for stratified spaces and configuration spaces of points" by the second named author. In particular we explain that an additional hypothesis should be added to Theorem 4.15 in…

Algebraic Topology · Mathematics 2021-10-05 Nir Gadish , Dan Petersen

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

The content of this preprint together with additional material appears now in 0706.2154.

Representation Theory · Mathematics 2007-06-14 M. Domokos

A possible thermalization of Fisher information is suggested for certain situations.

Mathematical Physics · Physics 2008-07-09 Robert Carroll

In this article we study devlop some fundaments for a function theory in the 16-dimensional complexified octonions.

Complex Variables · Mathematics 2026-05-28 Rolf Sören Krausshar , Heikki Orelma

Computations in the cohomology of finite groups.

Algebraic Topology · Mathematics 2007-12-03 Ian J Leary

We generalize the classical theory of periodic continued fractions (PCFs) over ${\mathbf Z}$ to rings ${\mathcal O}$ of $S$-integers in a number field. Let ${\mathcal B}=\{\beta, {\beta^*}\}$ be the multi-set of roots of a quadratic…

Number Theory · Mathematics 2022-12-02 Bradley W. Brock , Noam D. Elkies , Bruce W. Jordan

This is a preliminary version of the Chapter 1 of a book "Computable Integrability"

Mathematical Physics · Physics 2007-05-23 A. Shabat , E. Kartashova

Preliminary version of a contribution to the "Quantum Field Theory. Non-Perturbative QFT" topical area of "Modern Encyclopedia of Mathematical Physics" (SELECTA), eds. Aref'eva I, and Sternheimer D, Springer (2007). Consists of two parts -…

High Energy Physics - Theory · Physics 2007-05-23 Emil Nissimov , Svetlana Pacheva

In this paper, we give a refinement of a theorem by Franks, which answers two questions raised by Kang.

Dynamical Systems · Mathematics 2016-01-19 Hui Liu , Jian Wang

In Sh506, Shelah develops the theory of $\mathrm{pcf}_I(A)$ without the assumption that $|A|<\min (A)$, going so far as to get generators for every $\lambda\in\mathrm{pcf}_I(A)$ under some assumptions on $I$. Our main theorem is that we can…

Logic · Mathematics 2019-04-05 Shehzad Ahmed