Results 21 to 30 of about 4,185 (152)
The distribution of spacings of real‐valued lacunary sequences modulo one [PDF]
Mathematika, 2021 Let (an)n=1∞$(a_{n})_{n=1}^{\infty }$ be a lacunary sequence of positive real numbers. Rudnick and Technau showed that for almost all α∈R$\alpha \in \mathbb {R}$ , the pair correlation of (αan)n=1∞$(\alpha a_{n})_{n=1}^{\infty }$ mod 1 is Poissonian.
Sneha Chaubey, Nadav Yesha
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Book Review: Distribution modulo one and Diophantine approximation [PDF]
Bulletin of the American Mathematical Society, 2014 J. Allouche
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ON THE DISTRIBUTION OF TORSION POINTS MODULO PRIMES [PDF]
Bulletin of the Australian Mathematical Society, 2012 AbstractLet $\Bbb A$ be a commutative algebraic group defined over a number field K. For a prime ℘ in K where $\Bbb A$ has good reduction, let N℘,n be the number of n-torsion points of the reduction of $\Bbb A$ modulo ℘ where n is a positive integer. When $\Bbb A$ is of dimension one and n is relatively prime to a fixed finite set of primes depending ...
Chen, Yen-Mei J., Kuan, Yen-Liang
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Tangential forces in the contact area of upper road layer with the base
MATEC Web of Conferences, 2018 Low-temperature cracking is one of the main reasons for the deterioration of the upper layer of roads in regions with cold winters. A large number of works focused on deterioration prevention are known, however the interdisciplinary problem of low ...
Gavrilov Timmo +2 more
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Advanced Engineering Research, 2017 Introduction . One of the tasks arising in cryptography is to ensure the safe and honest conduct of e-voting. This procedure provides that voters submit their votes electronically - for example, through electronic terminals.
Larisa V. Cherkesova +3 more
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Perfect secrecy cryptosystem with nonuniform distribution of keys
Tongxin xuebao, 2018 More strictly mathematical concepts of infinite perfect secrecy and random “one-time pad” cryptosystem in theory were presented,and the whole secure communication system was divided into two stages:design of a basic cryptosystem and one of its ...
Chuanjun TIAN
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Snow water equivalent retrieval and analysis over Altay using 12 d repeat-pass Sentinel-1 interferometry [PDF]
The CryosphereAccurate Snow Water Equivalent (SWE) estimation is significant for understanding global climate change, surface energy balance, and regional water cycles.
J. Zhou +12 more
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The Quantum Electromagnetic Field in the Weyl–Wigner Representation
UniverseThe quantum electromagnetic (EM) field is formulated in the Weyl–Wigner representation (WW), which is equivalent to the standard Hilbert space one (HS).
Emilio Santos
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On the Distribution of ap Modulo One
Journal of Number Theory, 1993 AbstractIn this paper, we prove: "Suppose α is an irrational number and let ||y|| denote the smallest distance of y from an integer. Then, for any real number β, there are infinitely many primes p such that ||αp − β|| < p−4/13."
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On the distribution of inverses modulo p (II) [PDF]
Acta Arithmetica, 2001 Using \textit{E. Bombieri}'s estimates on exponential sums [Am. J. Math. 88, 71--105 (1966; Zbl 0171.41504)], the author shows that for fixed \(k\), the distance between the least residues of \(a^k\bmod p\) and \(a^{-k}\bmod p\), divided by \(p\), as \(a\) runs through \(1,2,\dots, p-1\), behaves like independent random variables on \([0,1]\).
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