Results 91 to 100 of about 1,648,333 (245)

Kripke on Gödel Incompleteness

Theoria, Volume 92, Issue 3, June 2026.
ABSTRACT This paper surveys six of Saul Kripke's highly creative ideas and results on Gödel incompleteness, from when he was an undergraduate to last publications. These include his extension of incompleteness from sentences to predicates, his model‐theoretic proof of incompleteness of arithmetic, his compelling analysis of incompleteness in terms of ...
Daniel Isaacson
wiley   +1 more source

Diophantine approximation and filtrations

, 2017
In this talk, I will introduce the notion of height, and how Diophantine inequalities help in Diophantine geometry. Specifically, I'll discuss the theorem of Faltings-Wuestholz and how it uses filtrations to derive Diophantine inequalities.Non ...
McKinnon, David
core   +1 more source

A uniform metrical theorem in multiplicative Diophantine approximation

Forum of Mathematics, Sigma
For Lebesgue generic $({x}_1,x_2)\in \mathbb {R}^2$ , we investigate the distribution of small values of products $q\cdot \|qx_1\| \cdot \|qx_2\|$ with $q\in \mathbb {N}$ , where $\|\cdot \|$ denotes the distance to the closest ...
Michael Björklund, Reynold Fregoli, Alexander Gorodnik   +2 more
doaj   +1 more source

Counting algebraic numbers in short intervals with rational points

Журнал Белорусского государственного университета: Математика, информатика, 2019
In 2012 it was proved that real algebraic numbers follow a non­uniform but regular distribution, where the respective definitions go back to H. Weyl (1916) and A. Baker and W. Schmidt (1970).
Vasily I. Bernik, Friedrich Götze, Nikolai I. Kalosha   +2 more
doaj   +1 more source

Exponents of Diophantine Approximation [PDF]

, 2016
37 pages, comments are welcome!
openaire   +2 more sources

Diophantine Approximation of Matrices

Rocky Mountain Journal of Mathematics, 1996
Bezeichnet \(M(\ell,m;K)\) die Menge der \(\ell\times m\)-Matrizen über einem Ring \(K\), so wird in der vorliegenden Arbeit die Approximation von \(B\in M(\ell,m;\mathbb{R})\) durch Matrizen \(P\in M(\ell,m;\mathbb{Z})\) untersucht. Im ersten Teil beschäftigen sich die Autoren mit oberen, im zweiten mit unteren Schranken für \(|B|:=\min\{|B-P|: P\in M(
Have, G.N. ten, Tijdeman, R.
openaire   +2 more sources

Generalized free wreath products and their operator algebras

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley   +1 more source

Multipoint nonlocal problem for factorized equation with dependent coefficients in conditions

Karpatsʹkì Matematičnì Publìkacìï, 2015
The conditions of correct solvability of multipoint nonlocal problem for factorized PDE with coefficients in conditions, which depends on one real parameter, is established.
P.B. Vasylyshyn, I.Ya. Savka, I.S. Klyus
doaj   +1 more source

Remarks on Diophantine approximation in function fields [PDF]

Mathematica Scandinavica, 2018
We study some problems in metric Diophantine approximation over local fields of positive characteristic.
A. Ganguly, Anish Ghosh
semanticscholar   +1 more source

Simultaneous diophantine approximation [PDF]

Bulletin of the Australian Mathematical Society, 1972
AbstractUsing a method suggested by E. S. Barnes, it is shown that the simultaneous inequalities r(p — αr)2 < c, r(q — βr)2 < c have an infinity of integral solutions p, q, r (with r > 0), for arbitrary irrationals α and β, provided that c > 1/2.6394.
openaire   +3 more sources