Results 21 to 30 of about 634,284 (286)

Riemann Hypothesis and the Distribution of Prime Numbers

International Journal of Science and Research (IJSR), 2021
: The conjecture was formulated by Germany Mathematician G F Bernhard Riemann in 1859, after whom it is named. He observed that the frequency of prime numbers is very closely related to the behavior of an elaborate function ᶼ (s) =1+1/2s+1/4s ...
Adriko Bosco
semanticscholar   +1 more source

Distribution of generalized Fermat prime numbers [PDF]

Mathematics of Computation, 2001
Summary: Numbers of the form \(F_{b,n}=b^{2^n}+1\) are called Generalized Fermat Numbers (GFN). A computational method for testing the probable primality of a GFN is described which is as fast as testing a number of the form \(2^m-1\). The theoretical distributions of GFN primes, for fixed \(n\), are derived and compared to the actual distributions ...
Dubner, Harvey, Gallot, Yves
openaire   +2 more sources

LikeN's - a point of view on natural numbers

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2017
We define and study some simple structures which we call likens and which are conceptually near to both sets of natural numbers, i.e. N with addition and N*=N\{0} with multiplication.
Edward Tutaj
doaj   +1 more source

Some Results on Harmonic Type Sums

Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2020
In this study, we consider the summatory function of convolutions of theMöbius function with harmonic numbers, and we show that these summatoryfunctions are linked to the distribution of prime numbers.
Haydar Göral, Doğa Can Sertbaş
doaj   +1 more source

Families and clustering in a natural numbers network [PDF]

, 2003
We develop a network in which the natural numbers are the vertices. We use the decomposition of natural numbers by prime numbers to establish the connections. We perform data collapse and show that the degree distribution of these networks scale linearly
Corso, Gilberto
core   +1 more source

Toward the Unification of Physics and Number Theory [PDF]

Reports in Advances of Physical Sciences, 2019
This paper introduces the notion of simplex-integers and shows how, in contrast to digital numbers, they are the most powerful numerical symbols that implicitly express the information of an integer and its set theoretic substructure.
Klee Irwin
doaj   +1 more source

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.
openaire   +2 more sources

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
doaj   +3 more sources

Coalescence Phenomenon of Quantum Cohomology of Grassmannians and the Distribution of Prime Numbers [PDF]

International mathematics research notices, 2016
The occurrence and frequency of a phenomenon of resonance (namely the coalescence of some Dubrovin canonical coordinates) in the locus of small quantum cohomology of complex Grassmannians are studied.
G. Cotti
semanticscholar   +1 more source

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
doaj   +1 more source