Abstract
We define a class of expressions for the multiple zeta function, and show how to determine whether an expression in the class vanishes identically. The class of such identities, which we call partition identities, is shown to coincide with the class of identities that can be derived as a consequence of the stuffle multiplication rule for multiple zeta values.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Jonathan M. Borwein, David M. Bradley, David J. Broadhurst and Petr Lisoněk, Special values of multiple polylogarithms, Trans. Amer. Math. Soc. 353 (2000), no. 3, 907–941. http://arxiv.org/abs/math.CA/9910045
Douglas Bowman and David M. Bradley, Multiple polylogarithms: A brief survey, in Proceedings of a Conference on q-Series with Applications to Combinatorics, Number Theory and Physics, (Bruce C. Berndt and Ken Ono eds.) American Mathematical Society, Contemporary Mathematics, 291 (2001), 71–92. http://arxiv.org/abs/math.CA/0310062
Michael E. Hoffman, Multiple harmonic series, Pacific J. Math., 152 (1992), no. 2, 275–290.
David V. Widder, The Laplace Transform, Princeton University Press, Princeton, 1946.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer Science + Business Media, Inc.
About this paper
Cite this paper
Bradley, D.M. (2005). Partition Identities for the Multiple Zeta Function. In: Aoki, T., Kanemitsu, S., Nakahara, M., Ohno, Y. (eds) Zeta Functions, Topology and Quantum Physics. Developments in Mathematics, vol 14. Springer, Boston, MA. https://doi.org/10.1007/0-387-24981-8_2
Download citation
DOI: https://doi.org/10.1007/0-387-24981-8_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-24972-8
Online ISBN: 978-0-387-24981-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)