On the Formula for Distribution of Prime Numbers
Abstract
The detailed derivation of the distribution of prime numbers, the research result originally presented in the 2013’ monograph Study of Analytic Number Theory: Riemann’s Hypothesis and Prime Number Theorem with Addendum on Integer Partitions published with Cam- bridge International Science Publishing, is once again presented in this paper with the purpose to give an insight to unfamiliar authors.
Keywords
analytic number theory, prime numbers, prime-counting function, Riemann equation, distribution of prime numbers, Mellin transforms
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Bracewell R., The Fourier Transform and Its Applications, 3rd Edn., McGraw-Hill, 2000)
Davies B., Integral Transforms and Their Applications, 3rd Edn., Springer: 2002.
Glinka L.A., Study of Analytic Number Theory: Riemann’s Hypothe- sis and Prime Number Theorem with Addendum on Integer Partitions; Cambridge International Science Publishing: 2013
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