Matches in SemOpenAlex for { <https://semopenalex.org/work/W3028348520> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W3028348520 abstract "Some classical questions and problems of Number Theory, like the Goldbach conjecture, distributions of twin- and d–primes and primes among arithmetic sequences, are addressed here from an entirely probabilistic point of view. We discuss the concept of ‘independence’ relevant to number-theoretic problems and interpret the basic concepts of divisibility of natural number in terms of probability spaces and appropriate probability distributions on classes of congruence. We analyze and demonstrate the importance of Zeta probability distribution and prove, in particular, theorems stating the equivalence of probabilistic independence of divisibility by co-prime factors, and the fact that random variables with the property of independence of co-prime factors must have Zeta probability distribution. Multiplicative and additive models with recurrent equations for generating sequences of prime numbers allow to interpret such sequences as realizations of random walks on set of natural numbers and on multiplicative semigroups generated by set of prime numbers , representing paths of stochastic dynamical systems. We discuss some limit theorems related to distribution of primes and their residuals. More specifically, we provide a continuous-time description of the distribution of counting function of primes in terms of diffusion approximation of non-Markov random walks." @default.
- W3028348520 created "2020-05-29" @default.
- W3028348520 creator A5010867843 @default.
- W3028348520 date "2020-05-01" @default.
- W3028348520 modified "2023-09-26" @default.
- W3028348520 title "A Probabilistic Approach to some Problems of Number Theory" @default.
- W3028348520 hasPublicationYear "2020" @default.
- W3028348520 type Work @default.
- W3028348520 sameAs 3028348520 @default.
- W3028348520 citedByCount "0" @default.
- W3028348520 crossrefType "posted-content" @default.
- W3028348520 hasAuthorship W3028348520A5010867843 @default.
- W3028348520 hasConcept C105795698 @default.
- W3028348520 hasConcept C113429393 @default.
- W3028348520 hasConcept C118615104 @default.
- W3028348520 hasConcept C122203268 @default.
- W3028348520 hasConcept C134306372 @default.
- W3028348520 hasConcept C149441793 @default.
- W3028348520 hasConcept C152482075 @default.
- W3028348520 hasConcept C169654258 @default.
- W3028348520 hasConcept C33923547 @default.
- W3028348520 hasConcept C40758505 @default.
- W3028348520 hasConcept C42747912 @default.
- W3028348520 hasConcept C49937458 @default.
- W3028348520 hasConcept C9991821 @default.
- W3028348520 hasConceptScore W3028348520C105795698 @default.
- W3028348520 hasConceptScore W3028348520C113429393 @default.
- W3028348520 hasConceptScore W3028348520C118615104 @default.
- W3028348520 hasConceptScore W3028348520C122203268 @default.
- W3028348520 hasConceptScore W3028348520C134306372 @default.
- W3028348520 hasConceptScore W3028348520C149441793 @default.
- W3028348520 hasConceptScore W3028348520C152482075 @default.
- W3028348520 hasConceptScore W3028348520C169654258 @default.
- W3028348520 hasConceptScore W3028348520C33923547 @default.
- W3028348520 hasConceptScore W3028348520C40758505 @default.
- W3028348520 hasConceptScore W3028348520C42747912 @default.
- W3028348520 hasConceptScore W3028348520C49937458 @default.
- W3028348520 hasConceptScore W3028348520C9991821 @default.
- W3028348520 hasLocation W30283485201 @default.
- W3028348520 hasOpenAccess W3028348520 @default.
- W3028348520 hasPrimaryLocation W30283485201 @default.
- W3028348520 hasRelatedWork W148121153 @default.
- W3028348520 hasRelatedWork W1498582371 @default.
- W3028348520 hasRelatedWork W1562182524 @default.
- W3028348520 hasRelatedWork W1822097810 @default.
- W3028348520 hasRelatedWork W1837607727 @default.
- W3028348520 hasRelatedWork W2031285341 @default.
- W3028348520 hasRelatedWork W2199876614 @default.
- W3028348520 hasRelatedWork W2369354301 @default.
- W3028348520 hasRelatedWork W2553076207 @default.
- W3028348520 hasRelatedWork W2573614896 @default.
- W3028348520 hasRelatedWork W2807402324 @default.
- W3028348520 hasRelatedWork W2808205628 @default.
- W3028348520 hasRelatedWork W29041363 @default.
- W3028348520 hasRelatedWork W294386870 @default.
- W3028348520 hasRelatedWork W2964242249 @default.
- W3028348520 hasRelatedWork W2971784863 @default.
- W3028348520 hasRelatedWork W3021772757 @default.
- W3028348520 hasRelatedWork W3022516901 @default.
- W3028348520 hasRelatedWork W3048462214 @default.
- W3028348520 hasRelatedWork W3110876768 @default.
- W3028348520 isParatext "false" @default.
- W3028348520 isRetracted "false" @default.
- W3028348520 magId "3028348520" @default.
- W3028348520 workType "article" @default.