Results 41 to 50 of about 14,932 (263)
Еstimation of randomity of generators of keys of the crypto system
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 The aim of the study is to develop an algorithm for constructing an integer random variable representing random components of the keys of the RSA cryptosystem, and determining the table for the distribution of its probabilities.
M.T. Jenaliyev, А.Т. Nurtazin
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Machine learning of the prime distribution
PLOS ONEIn the present work we use maximum entropy methods to derive several theorems in probabilistic number theory, including a version of the Hardy–Ramanujan Theorem. We also provide a theoretical argument explaining the experimental observations of Y.–H. He about the learnability of primes, and posit that the Erdős–Kac law would very unlikely be discovered
Alexander Kolpakov, A. Alistair Rocke
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On the prime ideal theorem and irregularities in the distribution of primes
Duke Mathematical Journal, 1995 For any fixed \(k\in \mathbb{N}\), let \(f(x)\) denote the polynomial \(x^ k+ Qd\) with \(Q,d\in \mathbb{N}\). Put, for fixed \(Q\) and prime \(p\), \[ \rho(d,p)= |\{m \bmod p;\;m^ k+ Qd\equiv 0\bmod p\}|. \] We factorize \(f\) over \(\mathbb{Q}\) as \(f= \prod_{i=1}^{r(d)} f_ i\), where each \(f_ i\) is irreducible and has integral coefficients, then ...
M. NAIR, PERELLI, ALBERTO
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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
FEBS Letters, EarlyView.Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
wiley +1 more source
On properties of the numbers coprime with the primes up to p_n
Le Matematiche, 2006 In this paper we investigate about the effective distribution of the numbers coprime with the primes up to p_n . More precisely we prove that these numbers form a periodically monotone sequence . Then we examine some properties of this sequence which, in
Giovanni Fiorito
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On the irregularity of the distribution of the sums of pairs of odd primes
International Journal of Mathematics and Mathematical Sciences, 2002 Let P2(n) denote the number of ways of writing n as a sum of two odd primes. We support a conjecture of Hardy and Littlewood concerning P2(n) by showing that it holds in a certain average sense. Thereby showing the irregularity of P2(n).
George Giordano
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Predicting Maximal Gaps in Sets of Primes
Mathematics, 2019 Let q > r ≥ 1 be coprime integers. Let P c = P c ( q , r , H ) be an increasing sequence of primes p satisfying two conditions: (i) p ≡ r (mod q) and (ii) p starts a prime k-tuple with a given pattern H ...
Alexei Kourbatov, Marek Wolf
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Calpain small subunit homodimerization is robust and calcium‐independent
FEBS Letters, EarlyView.Calpains dimerize via penta‐EF‐hand (PEF) domains. Using single‐molecule force spectroscopy, we measured the strength and kinetics of PEF–PEF homodimer binding. The interaction is robust, shows a transient conformational step before dissociation, and remains largely insensitive to Ca2+.
Nesha May O. Andoy +4 more
wiley +1 more source
FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source