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es contar con un enlace que preserve los estados de polarización para su uso en unsistema de distribución cuántica de claves. El esquema es capaz de generar los cuatro estados de polarizaciónlineales generadores de dos bases conjugadas: una corresponde ...
Ignacio H Lopez Grande +1 more
doaj
$\alpha$-additive functions and uniform distribution modulo one
Every nonnegative integer n can be written in the form \(n=\sum^{\infty}_{k=0}\epsilon_ k(n)z_ k\), where \(z_ k\) is the sequence of denominators of the convergents of the continued fraction expansion of a given irrational \(\alpha =[a_ 0;a_ 1,a_ 2,...]\), \(\epsilon_ 0(n)\in \{0,1,...,a_ 1-1\}\), \(\epsilon_ k(n)\in \{0,1,...,a_{k+1}\}\) (k\(\geq 1)\)
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The distribution of \(\alpha p\) modulo one
Let \(\|x\|\) be the distance from \(x\) to the nearest integer, and let \(\alpha\) be an irrational number. Then the authors prove that for any \(\varepsilon> 0\) there are infinitely many prime numbers \(p\) such that \(\|\alpha p\|< p^{-16/49+ \varepsilon}\), improving the value \(9/28\) of \textit{C. Jia} [Sci. China, Ser.
Heath-Brown, D, Jia, C
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On the distribution of αp+β modulo one
Abstract Let ‖ ⋅ ‖ denote the minimum distance to an integer. For 0 γ 1 , θ > 0 and ( α , β ) ∈ R ∖ { 0 } × R we study when ‖ α p γ + β ‖ p − θ , holds for infinitely many primes p of a special type.
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The distribution of sequences modulo one [PDF]
Cater, Frank S. +2 more
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On uniform distribution modulo a subdivision [PDF]
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On $n$-dimensional uniform distribution modulo $1$. [PDF]
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The Distribution of αp Modulo One
Heath-Brown, DR, Jia, C
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RNA inverse folding can be solved in linear time for structures without isolated stacks or base pairs. [PDF]
Boury T, Gardelle S, Bulteau L, Ponty Y.
europepmc +1 more source
2D-Cosine power sine coupled map with fractal-Fibonacci fusion for hyperchaotic image encryption. [PDF]
Kumar M, Ch D.
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