JP Journal of Algebra, Number Theory and Applications
Volume 24, Issue 2, Pages 137 - 147
(March 2012)
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A STUDY ON THE RIEMANN HYPOTHESIS BY THE WIGNER DISTRIBUTION ANALYSIS
Takaaki Musha
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Abstract: Wigner distribution is a tool for signal processing to obtain instantaneous spectrum of a signal. From which, another representations of an Euler product can be obtained for Dirichlet eta function and the Dirichlet series of the Mobius function. By these Euler products, it can be shown that the Dirichlet series of the Mobius function converges to the inverse of the Riemann zeta function for almost everywhere satisfying that is related to the Riemann hypothesis. |
Keywords and phrases: Wigner-Ville distribution, Dirichlet eta function, Mobius function, Euler product, Riemann hypothesis. |
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