Results 1 to 10 of about 633,827 (270)
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
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Analogs of the Prime Number Problem in a Shot Noise Suppression of the Soft-Reset Process. [PDF]
Nanomaterials (Basel)The soft-reset process, or a sequence of charge emissions from a floating storage node through a transistor biased in a subthreshold bias condition, is modeled by a master (Kolmogorov–Bateman) equation.
Hirose Y.
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A Scale Invariant Distribution of the Prime Numbers [PDF]
Computation, 2015 The irregular distribution of prime numbers amongst the integers has found multiple uses, from engineering applications of cryptography to quantum theory.
Wayne S. Kendal, Bent Jørgensen
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On the statistical distribution of prime numbers, a view from where the distribution of prime numbers is not erratic [PDF]
AIP Conference Proceedings, 2017 Currently there is no known efficient formula for primes. Besides that, prime numbers have great importance in e.g., information technology such as public-key cryptography, and their position and possible or impossible functional generation among the ...
Kristyan, Sandor
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Entropy, Periodicity and the Probability of Primality. [PDF]
Entropy (Basel)The distribution of prime numbers has long been viewed as a balance between order and randomness. In this work, we investigate the relationship between entropy, periodicity, and primality through the computational framework of the binary derivative.
Croll GJ.
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Evasiveness and the Distribution of Prime Numbers [PDF]
, 2010 We confirm the eventual evasiveness of several classes of monotone graph properties under widely accepted number theoretic hypotheses. In particular we show that Chowla's conjecture on Dirichlet primes implies that (a) for any graph $H$, "forbidden ...
Babai, Laszlo +3 more
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Some Analytical and Computational Aspects of Prime Numbers, Prime Number Theorems and Distribution of Primes with Applications [PDF]
International Journal of Applied and Computational Mathematics, 2014 This paper (expository, at the undergraduate level) is filled with errors, both historical and mathematical. The names of mathematicians are often rendered incorrectly -- ``Kroneker'', ``Applolonius'', both ``Neil Abel'' and ``Neils Abel'', ``Goldback'', and several others.
Debnath, Lokenath, Basu, Kanadpriya
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New properties of divisors of natural number [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The divisors of a natural number are very important for several areas of mathematics, representing a promising field in number theory. This work sought to analyze new relations involving the divisors of natural numbers, extending them to prime numbers ...
Hamilton Brito da Silva
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THE DISTRIBUTION OF PRIME NUMBERS [PDF]
Nature, 2007 This is an expanded account of three lectures on the distribution of prime numbers given at the Montreal NATO school on equidistribution.
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The Prime state and its quantum relatives [PDF]
Quantum, 2020 The Prime state of $n$ qubits, ${|\mathbb{P}_n{\rangle}}$, is defined as the uniform superposition of all the computational-basis states corresponding to prime numbers smaller than $2^n$. This state encodes, quantum mechanically, arithmetic properties of
D. García-Martín +4 more
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