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Article: A numerical test on the Riemann hypothesis with applications.
- Article from:
- Journal of Mathematics and Statistics
- Article date:
- January 1, 2009
- Author:
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INTRODUCTION
Riemann hypothesis also known as the Riemann zeta hypothesis, first formulated by G.F.B Riemann in 1859, is one of the most famous and important but posed a very difficult problem in mathematics despite attracting concentrated effort from many outstanding mathematicians.
The Riemann hypothesis involves two products of the zeta function [zeta](s) which are: Prime numbers and the zeros of the zeta function [zeta](s). It states that the zeros of a certain complex-valued function [zeta] (s) of a complex number s [not equal to] 1 all have a special form, which may be trivial or non trivial. Zeros at the negative even integers (i.e., at S = -2, S ...