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The fractal nature of an approximate prime counting function
- Source :
- Fractal and Fractional; Volume 1; Issue 1; Pages: 10, Fractal and Fractional, Vol 1, Iss 1, p 10 (2017)
- Publication Year :
- 2016
- Publisher :
- arXiv, 2016.
-
Abstract
- Prime number related fractal polygons and curves are derived by combining two different aspects. One is an approximation of the prime counting function build on an additive function. The other are prime number indexed basis entities taken from the discrete or continuous Fourier basis.<br />Comment: 11 pages, 6 figures
- Subjects :
- Statistics and Probability
Mathematics::Number Theory
11A41, 11N05, 28A80, 37F40, 42B05
Basis function
lcsh:Analysis
010103 numerical & computational mathematics
lcsh:Thermodynamics
01 natural sciences
fractals
prime numbers
prime counting function
Fourier basis
regularizing polygon transformations
Fractal
lcsh:QC310.15-319
Prime factor
FOS: Mathematics
Number Theory (math.NT)
0101 mathematics
Mathematics
Discrete mathematics
Mathematics - Number Theory
lcsh:Mathematics
010102 general mathematics
Prime number
lcsh:QA299.6-433
Statistical and Nonlinear Physics
Prime-counting function
lcsh:QA1-939
Multiplicative number theory
Logarithmic integral function
Analysis
Primorial
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Fractal and Fractional; Volume 1; Issue 1; Pages: 10, Fractal and Fractional, Vol 1, Iss 1, p 10 (2017)
- Accession number :
- edsair.doi.dedup.....e972e611c321c672e78cc2a865617827
- Full Text :
- https://doi.org/10.48550/arxiv.1611.01949