INTERNATIONAL RESEARCH JOURNAL OF SCIENCE ENGINEERING AND TECHNOLOGY

( Online- ISSN 2454 -3195 ) New DOI : 10.32804/RJSET

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ANALYTIC NUMBER THEORY - CARMICHAEL NUMBERS

    1 Author(s):  MANOJ KUMAR

Vol -  6, Issue- 3 ,         Page(s) : 94 - 97  (2016 ) DOI : https://doi.org/10.32804/RJSET

Abstract

In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Peter Gustav Lejeune Dirichlet's 1837 introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic progressions. It is well known for its results on prime numbers (involving the Prime Number Theorem and Riemann zeta function) and additive number theory (such as the Goldbach conjecture and Waring's problem).

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