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# Multiple Zeta-Functions Associated with Linear Recurrence Sequences and the Vectorial Sum Formula

Published online by Cambridge University Press:  20 November 2018

## Abstract

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We prove the holomorphic continuation of certain multi-variable multiple zeta-functions whose coefficients satisfy a suitable recurrence condition. In fact, we introduce more general vectorial zeta-functions and prove their holomorphic continuation. Moreover, we show a vectorial sum formula among those vectorial zeta-functions from which some generalizations of the classical sum formula can be deduced.

## Keywords

Type
Research Article
Information
Canadian Journal of Mathematics , 01 April 2011 , pp. 241 - 276

## References

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