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Missouri University of Science and Technology

Mathematics and Statistics Faculty Research & Creative Works

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2006

Bernoilli numbers

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The Hurwitz Zeta Function As A Convergent Series, Roman Dwilewicz, Jan Minac Jan 2006

The Hurwitz Zeta Function As A Convergent Series, Roman Dwilewicz, Jan Minac

Mathematics and Statistics Faculty Research & Creative Works

New series for the Hurwitz zeta function which converge on the whole plane, except s = 1, are developed. This is applied to obtain a remarkably simple evaluation of some special values of the function.