In number theory, Ostrowski's theorem, due to Alexander Ostrowski (1916), states that every non-trivial absolute value on the rational numbers Q {\displaystyle...

relating to convexity and the Hahn–Banach theorem are different. Ostrowski's theorem, due to Alexander Ostrowski (1916), states that every non-trivial absolute...

In mathematics, the Ostrowski–Hadamard gap theorem is a result about the analytic continuation of complex power series whose non-zero terms are of orders...

theorem (functional analysis) Ornstein theorem (ergodic theory) Oseledec theorem (ergodic theory) Osterwalder–Schrader theorem (physics) Ostrowski's theorem...

and the p {\displaystyle p} -adic absolute value functions. By Ostrowski's theorem, every non-trivial absolute value on the rational numbers is equivalent...

Valuation (algebra) Archimedean property Multiplicity (mathematics) Ostrowski's theorem Legendre's formula Dummit, David S.; Foote, Richard M. (2003). Abstract...

|_{\sigma }:K\to \mathbb {R} _{\geq 0}} . This statement is a theorem also called Ostrowski's theorem. The field K = Q [ x ] / ( x 6 − 2 ) = Q ( θ ) {\displaystyle...

Ostrowski is a Polish surname Ostrowski may also refer to: Ostrowski Prize, mathematics award Ostrowski's theorem, mathematical theorem Two counties in...

does not meet all the requirements of a valuation. According to Ostrowski's theorem, up to a natural notion of equivalence, the real numbers and p {\displaystyle...

vol. 4; vol. 5; vol. 6 Ostrowski's theorem Ostrowski–Hadamard gap theorem Ostrowski numeration Ostrowski Prize "Alexander Ostrowski - The Mathematics Genealogy...

An equivalence class of valuations of a field is called a place. Ostrowski's theorem gives a complete classification of places of the field of rational...

the p-adic number field Q p . {\displaystyle \mathbb {Q} _{p}.} Ostrowski's theorem states that any non-trivial absolute value on the rational numbers...

{\displaystyle \mathbb {R} } and Q p , {\displaystyle \mathbb {Q} _{p},} by Ostrowski's theorem. The algebraic closures Q p ¯ {\displaystyle {\overline {\mathbb...

take for c the size of D/P. For example, when E is a number field, Ostrowski's theorem says that every non-trivial non-Archimedean absolute value on E arises...

words, an equivalence class of absolute values, is called a place. Ostrowski's theorem states that the nontrivial places of the rational numbers Q are the...

absolute value is the corresponding seminorm in the Berkovich spectrum. Ostrowski's theorem shows that the Berkovich spectrum of the integers (with the usual...

wikidata descriptions as a fallback Ordered topological vector space Ostrowski's theorem – On all absolute values of rational numbers Topological abelian...

equation xn + yn = zn. Local fields are completions of global fields. Ostrowski's theorem asserts that the only completions of Q, a global field, are the local...

defined for each prime number p, which measure divisibility by p. Ostrowski's theorem states that these are all possible absolute value functions on Q...

The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial...

specialising in number theory. He is best known for proving Fermat's Last Theorem, for which he was awarded the 2016 Abel Prize and the 2017 Copley Medal...

\mathbb {A} _{K}=\mathbb {A} _{K,S}\times \mathbb {A} _{K}^{S}.} By Ostrowski's theorem the places of Q {\displaystyle \mathbb {Q} } are { p ∈ N : p  prime...

worst-case complexity of algorithms based on Vincent's theorems. However, Obreschkoff–Ostrowski theorem shows that the number of iterations of these algorithms...

Bulgarian mathematician, working in complex analysis. Obreschkoff–Ostrowski theorem European Mathematics Society Newsletter No. 51 (PDF), page 28. Nikola...

The Chebotarev theorem on roots of unity was originally a conjecture made by Ostrowski in the context of lacunary series. Chebotarev was the first to...

Schottky's original theorem did not give an explicit bound for f. Ostrowski (1931, 1933) gave some weak explicit bounds. Ahlfors (1938, theorem B) gave a strong...

simplified by Alexander Ostrowski and by Carathéodory. The following points detail the uniqueness and power of the Riemann mapping theorem: Even relatively simple...

The Kantorovich theorem, or Newton–Kantorovich theorem, is a mathematical statement on the semi-local convergence of Newton's method. It was first stated...

are named after Samuel Beatty, who wrote about them in 1926. Rayleigh's theorem, named after Lord Rayleigh, states that the complement of a Beatty sequence...

{\displaystyle X^{3/4}} . The theorem was proved in 1997 by John Friedlander and Henryk Iwaniec. Iwaniec was awarded the 2001 Ostrowski Prize in part for his...