On the Formula for Distribution of Prime Numbers

Authors

  • Lukasz Andrzej Glinka Non-fiction Writer, Science Editor and Science Author

DOI:

https://doi.org/10.37591/rrdms.v1i1.21

Keywords:

analytic number theory, prime numbers, prime-counting function, Riemann equation, distribution of prime numbers, Mellin transforms

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.

Author Biography

  • Lukasz Andrzej Glinka, Non-fiction Writer, Science Editor and Science Author

    BIRTH DATA 5 October 1984, Poland

    PROFESSIONAL WEB-PAGES

    http://www.linkedin.com/in/laglinka

    http://www.academicroom.com/users/laglinka

    http://www.goodreads.com/author/show/5832296

    http://membership.sciencepublishinggroup.com/laglinka

    SUMMARY

    • Author. 2 science books and 1 book in humanities

    • Author. 42 science papers and manuscripts

    • Editor. Research & Reviews: Discrete Mathematical Structures (STM Journals, Consortium eLearning Network Private Ltd)

    • Editor. Review of Applied Physics (Science and Engineering Publishing Company)

    • Editor. Journal of Advances in Physics (Council for Innovative Research)

    • Editor. Science Journal of Applied Mathematics and Statistics (Science Publishing Group)

    • Editor. Applied Mathematics and Physics (Science and Education Publishing)

    • Attended 16 academic conferences, given 26 public presentations

    • Biography published by Marquis Who’s Who

    • Citations. More than 3 books and 75 papers of other authors

    EXPERIENCE

    • in 2013: IBM, Bratislava, Slovakia

    • in 2013: B.M. Birla Science Centre, Hyderabad, India

    • in 2011: TC Systems SA, Mendrisio, Switzerland

    • in 2010: Peoples’ Friendship University of Russia, Moscow, Russia

    • in 2009: B.M. Birla Science Centre, Hyderabad, India

    • in 2008: University of Udine, Udine, Italy

    • 2006-2008: Joint Institute for Nuclear Research, Dubna, Russia

    – in 2007: Centre de Physique Théorique de Marseille, Marseille, France

    – in 2007: University of Warsaw, Warsaw, Poland

    – in 2007: University of Wroclaw, Wroclaw, Poland

    – in 2006: Sołtan Institute for Nuclear Studies, Warsaw, Poland

    AUTHORED BOOKS

    L.A. Glinka (2013). Theorizing Emotions: A Brief Study of Psychological, Philosophical, and Cultural Aspects of Human Emotions. Cambridge International Science Publishing, 104 pages, ISBN-13: 978-1907343957. Information: www.cisp-publishing.com/acatalog/info_105.html

    L.A. Glinka (2013). Study of Analytic Number Theory: Riemann’s Hypothesis and Prime Number Theorem with Addendum on Integer Partitions. Cambridge International Science Publishing, 108 pages, ISBN-13: 978-1907343988. Information: www.cisp-publishing.com/acatalog/info_104.html

    L.A. Glinka (2012). Aethereal Multiverse: A New Unifying Theoretical Approach to Cosmology, Particle Physics, and Quantum Gravity. Cambridge International Science Publishing, 830 pages, ISBN-13: 978-1907343568. Information: www.cisp-publishing.com/acatalog/info_101.html

    CONTACT

    e-mail: [email protected]

    mobile phone: (+48) 660 019 237

References

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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Published

2014-03-27

Issue

Section

Research Articles