Bernoulli Polynomials, Fourier Series and Zeta Numbers

Ernst E Scheufens

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Abstract

Fourier series for Bernoulli polynomials are used to obtain information about values of the Riemann zeta function for integer arguments greater than one. If the argument is even we recover the well-known exact values, if the argument is odd we find integral representations and rapidly convergent series.
Original languageEnglish
JournalInternational Journal of Pure and Applied Mathematics
Volume88
Issue number1
Pages (from-to)65-76
ISSN1311-8080
DOIs
Publication statusPublished - 2013

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