On the numbers that determine the distribution of twin primes [PDF]
Surveys in Mathematics and its Applications, 2018 This paper is about a class of numbers indirectly connected to the twin primes, which have not been investigated so far. With the help of these numbers, we look at the set of twin primes from a different perspective and bring the reader's attention to ...
Antonie Dinculescu
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Investigating Schema-Free Encoding of Categorical Data Using Prime Numbers in a Geospatial Context
ISPRS International Journal of Geo-Information, 2019 Prime numbers are routinely used in a variety of applications, e.g., cryptography and hashing. A prime number can only be divided by one and the number itself.
Martin Sudmanns
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Quantum hamiltonians and prime numbers [PDF]
, 2003 A short review of Schroedinger hamiltonians for which the spectral problem has been related in the literature to the distribution of the prime numbers is presented here.
Berry M. V., Chadan K., Garay L.
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Combating Islamophobia: A Transitivity Analysis of Selected Muslim Leaders’ UNGA Speeches
NUML Journal of Critical Inquiry, 2022 This study focuses on the transitivity patterns employed by Imran Khan (the ex. prime minister of Pakistan), Mahathir Mohammad (The ex. prime minister of Malaysia), and Recip Tayyip Erdogan (the president of Turkiye) in their United Nation General ...
Israr Ahmad +2 more
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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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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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On positive sequences of reals whose block sequence has an asymptotic distribution function [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper we study the properties of the unbounded sequence 0≤y₁≤y₂≤y₃≤... of positive reals having asymptotic distribution function of the form x^λ.
József Bukor +2 more
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On Joint Universality in the Selberg–Steuding Class
Mathematics, 2023 The famous Selberg class is defined axiomatically and consists of Dirichlet series satisfying four axioms (Ramanujan hypothesis, analytic continuation, functional equation, multiplicativity).
Roma Kačinskaitė +2 more
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On a certain characterisation of the semigroup of positive natural numbers with multiplication
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2022 In this paper we continue our investigation concerning the concept of a liken. This notion has been defined as a sequence of non-negative real numbers, tending to infinity and closed with respect to addition in R.
Edward Tutaj
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Riemann zeta fractional derivative—functional equation and link with primes
Advances in Difference Equations, 2019 This paper outlines further properties concerning the fractional derivative of the Riemann ζ function. The functional equation, computed by the introduction of the Grünwald–Letnikov fractional derivative, is rewritten in a simplified form that reduces ...
Emanuel Guariglia
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