Power Series Expansions of Riemann's Zeta Function -- from Wolfram Library Archive

Title

Power Series Expansions of Riemann's Zeta Function

Author

Jerry B. Keiper

Organization:

Wolfram Research, Inc.

Journal / Anthology

Mathematics of Computation

Year:

1992

Volume:

Page range:

765-773

Description

We show how high-precision values of the coefficients of power series expansions of functions related to Riemann's Zeta function may be calculated. We also show how the Stieltjes constants can be evaluated using this scheme and how the Riemann hypothesis can be expressed in terms of the behavior of two of the sequences of coefficients. High-precision values for the coefficients of these power series are found using Mathematica.

Subjects

	Mathematics > Calculus and Analysis > Series
	Mathematics > Calculus and Analysis > Special Functions

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