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Investigations on the Theory of Riemann Zeta Function I: New Functional Equation, Integral Representation and Laurent Expansion for Riemann’s Zeta Function

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Abstract:

We developed a new functional equation and a new integral representation for the Riemann zeta function.

Info:

Periodical:
Bulletin of Mathematical Sciences and Applications (Volume 5)
Pages:
17-21
Citation:
E. Guedes et al., "Investigations on the Theory of Riemann Zeta Function I: New Functional Equation, Integral Representation and Laurent Expansion for Riemann’s Zeta Function", Bulletin of Mathematical Sciences and Applications, Vol. 5, pp. 17-21, 2013
Online since:
August 2013
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References:

Sondow, Jonathan and Weisstein, Eric W., Riemann Zeta Function, from MathWorld-A Wolfram Web Resource, http: /mathworld. wolfram. com/RiemannZetaFunction. html, available in May 06, (2013).

Edwards, Harold M., Riemann's Zeta Function, Dover, (2001).

Riemann, Bernhard, Bernhard Riemann's Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass, Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse, Leipzig, 1876, Teubner.

https: /en. wikipedia. org/wiki/Abel-Plana_formula, available in May 07, (2013).

https: /en. wikipedia. org/wiki/Stieltjes_constants, available in May 07, (2013).

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