Results 51 to 60 of about 157,767 (127)

Approximation to real numbers by algebraic integers [PDF]

open access: yesActa Arithmetica, 1969
Davenport, Harold, Schmidt, Wolfgang M.
openaire   +2 more sources

Rational approximations to $\sqrt[3]{2}$ and other algebraic numbers revisited

open access: yes, 2008
published version, but with some small changes, including typo in statement of Lemma 5.1(b), leading to simpler proof of Theorem 2 ...
openaire   +2 more sources

On approximation to a real number by algebraic numbers of bounded degree

open access: yesAnnals of Mathematics
In his seminal 1961 paper, Wirsing studied how well a given transcendental real number $ξ$ can be approximated by algebraic numbers $α$ of degree at most $n$ for a given positive integer $n$, in terms of the so-called naive height $H(α)$ of $α$. He showed that the infimum $ω^*_n(ξ)$ of all $ω$ for which infinitely many such $α$ have $|ξ-α| \le H(α)^{-ω-
openaire   +3 more sources

The algebraic groups leading to simultaneous approximation of an algebraic number and its square

open access: yesPublications mathématiques de Besançon. Algèbre et théorie des nombres
We determine the algebraic groups which have a close relation to simultaneous approximation of an algebraic number and its square.
openaire   +1 more source

Free quantum computing. [PDF]

open access: yesProc Natl Acad Sci U S A
Carette J   +4 more
europepmc   +1 more source

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