Results 11 to 20 of about 4,959 (254)
Analogs of the Prime Number Problem in a Shot Noise Suppression of the Soft-Reset Process [PDF]
NanomaterialsThe 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.
Yutaka Hirose
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Entropy, Periodicity and the Probability of Primality [PDF]
EntropyThe 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.
Grenville J. Croll
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The average value of a certain number-theoretic function over the primes [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We consider functions F:ℤ_{≥0}→ℤ_{≥0} for which there exists a positive integer n such that two conditions hold: F(p) divides n for every prime p, and for each divisor d of n and every prime p, we have that d divides F(p) iff d divides F(p mod d ...
Louis Rubin
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Counting stabiliser codes for arbitrary dimension [PDF]
Quantum, 2023 In this work, we compute the number of $[[n,k]]_d$ stabilizer codes made up of $d$-dimensional qudits, for arbitrary positive integers $d$. In a seminal work by Gross \cite{Gross2006} the number of $[[n,k]]_d$ stabilizer codes was computed for the case ...
Tanmay Singal +5 more
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Two generalizations of Liouville λ function [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We study the properties of two classes of functions λₖ and ~λₖ that generalize the Liouville λ function, including some equivalencies between the Riemann hypothesis and some assertions about the asymptotic behavior of the summatory functions of λₖ and ...
André Pierro de Camargo
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ALTERNATIVE PROOF OF THE INFINITUDE PRIMES AND PRIME PROPERTIES
Barekeng, 2023 Prime numbers is one of kind number that have many uses, one of which is cryptography. The uniqueness of prime numbers in their divisors and distributions causes prime numbers to be widely used in digital security systems. In number theory, one of famous
Dinni Rahma Oktaviani +2 more
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The structure of groups with cyclic commutator subgroups indecomposable to a subdirect product of groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article studies finite groups indecomposable to subdirect product of groups (subdirectly irreducible groups), commutator subgroups of which are cyclic subgroups.
Kozlov, Vladimir Anatolievich +1 more
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On a Generalization of a Theorem of P. Hall [PDF]
Advances in Group Theory and Applications, 2023 Let A be a finite group, and suppose that for any prime p dividing |A/A'|, A' the commutator subgroup of A, the type λ = (λ1, λ2, ...) of a Sylow p-subgroup of A/A' satisfies λ2 ≤ 2 and λ3 ≤ 1.
Tsunenobu Asai +3 more
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On a Fractal Representation of the Density of Primes
Recoletos Multidisciplinary Research Journal, 2014 The number of primes less or equal to a real number x, π(x), has been approximated in the past by the reciprocal of the logarithm of the number x. Such an approximation works well when x is large but it can be poor when x is small.
Joy Mirasol, Efren O. Barabat
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The Density of Primes Less or Equal to a Positive Integer up to 20,000: Fractal Approximation
Recoletos Multidisciplinary Research Journal, 2013 The highly irregular and rough fluctuations of the number of primes less or equal to a positive integer x for smaller values of x ( x≤20,000) renders the approximations through the Prime Number Theorem quite unreliable. A fractal probability distribution
Rodel B. Azura +3 more
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