The Distribution of Prime Numbers
, 2022 In this paper, we discovered a new sequence of all prime numbers which end with a 1 or 9, the sequence defined by 𝑎(𝑛) = (𝑛^2 − 𝑛 − 1)/gcd (𝑏(𝑛), 𝑛^2 − 𝑛 − 1), with 𝑏(𝑛) satisfying the recurcive formula 𝑏(𝑛)=(𝑛 − 1). 𝑏(𝑛 − 1) − 𝑛. 𝑏(𝑛 − 2) and 𝑏(1) = 𝑏(2) = −1, the sequence 𝑎(𝑛) takes only 1’s and primes.
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Determination of frequency distribution of oocytes at different maturity phases in the ovaries of roach, Rutilus rutilus (L.) [PDF]
Acta Ichthyologica et Piscatoria, 2003 Background. The frequency distribution of oocytes at different maturity phases can be used to assess environmental effects on gametogenesis in teleosts.
W. Kopiejewska
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Ratio Mathematica, 2019 Within the conceptual framework of number theory, we consider prime numbers and the classic still unsolved problem to find a complete law of their distribution.
Gianfranco Minati
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On mixed joint discrete universality for a class of zeta-functions: a further generalization
Mathematical Modelling and Analysis, 2020 We present the most general at this moment results on the discrete mixed joint value-distribution (Theorems 5 and 6) and the universality property (Theorems 3 and 4) for the class of Matsumoto zeta-functions and periodic Hurwitz zeta-functions under ...
Roma Kačinskaitė, Kohji Matsumoto
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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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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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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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