Results 41 to 50 of about 166,083,503 (302)
Combinatorial Models of the Distribution of Prime Numbers
Mathematics, 2021 This work is divided into two parts. In the first one, the combinatorics of a new class of randomly generated objects, exhibiting the same properties as the distribution of prime numbers, is solved and the probability distribution of the combinatorial ...
Vito Barbarani
doaj +1 more source
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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On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average [PDF]
, 2014 For an elliptic curve E/Q without complex multiplication we study the distribution of Atkin and Elkies primes ℓ, on average, over all good reductions of E modulo primes p.
Igor E. Shparlinski +5 more
core +1 more source
A Numerical Study on the Regularity of d-Primes via Informational Entropy and Visibility Algorithms
Complexity, 2020 Let a d-prime be a positive integer number with d divisors. From this definition, the usual prime numbers correspond to the particular case d=2. Here, the seemingly random sequence of gaps between consecutive d-primes is numerically investigated.
B. L. Mayer, L. H. A. Monteiro
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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 the distribution of Gaussian primes
, 2023 In this paper, we will first explore the distribution of Gaussian primes in the first quadrant locally and, furthermore, use the findings to investigate the distribution of Gaussian primes on a wide variety of straight ...
Dr. Xian Hemingway
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Foods, 2022 This narrative historical review examines the wide range of approaches that has been trialled/suggested in order to reduce the consumption of salt. While sodium is an essential micronutrient, there is widespread evidence that high levels of consumption ...
Charles Spence
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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
Stability of second-order recurrences modulo pr
International Journal of Mathematics and Mathematical Sciences, 2000 The concept of sequence stability generalizes the idea of uniform distribution. A sequence is p-stable if the set of residue frequencies of the sequence reduced modulo pr is eventually constant as a function of r.
Lawrence Somer, Walter Carlip
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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