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June 2017 Taylor series for the reciprocal gamma function and multiple zeta values
Mika Sakata
Proc. Japan Acad. Ser. A Math. Sci. 93(6): 47-49 (June 2017). DOI: 10.3792/pjaa.93.47

Abstract

We give a purely algebraic proof of a formula for Taylor coefficients of the reciprocal gamma function. The formula expresses each coefficient in terms of multiple zeta values. Our proof uses Hoffman’s harmonic algebra of multiple zeta values.

Citation

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Mika Sakata. "Taylor series for the reciprocal gamma function and multiple zeta values." Proc. Japan Acad. Ser. A Math. Sci. 93 (6) 47 - 49, June 2017. https://doi.org/10.3792/pjaa.93.47

Information

Published: June 2017
First available in Project Euclid: 2 June 2017

zbMATH: 06790373
MathSciNet: MR3659943
Digital Object Identifier: 10.3792/pjaa.93.47

Subjects:
Primary: 11M32

Keywords: Gamma function , multiple zeta value

Rights: Copyright © 2017 The Japan Academy

Vol.93 • No. 6 • June 2017
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