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The joint distribution of the Riemann zeta - function

Published online by Cambridge University Press:  17 April 2009

A. Laurinčikas
A. Laurinčikas
Affiliation:
Department of Mathematics and Informatics, Vilnius University, Naugarduko, 24, 03225 Vilnius, Lithuania e-mail: antanas.laurincikas@maf.vu.lt
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In the paper the asymptotic distribution of (|ζ(s)|,ζ(s)), where ζ(s) is the Riemann zeta - function, in the sense of weak convergence of probability measures is considered. For this, the continuity theorems for probability measures on ℝ × ℂ are used. Some aspects of the dependence of |ζ(s)| and ζ(s) are also discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 201 - 217
Copyright
Copyright © Australian Mathematical Society 2006

References

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