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Multiple zeta functions: the double sine function and the signed double Poisson summation formula
Published online by Cambridge University Press: 04 December 2007
Abstract
We construct multiple zeta functions as absolute tensor products of usual zeta functions. The Euler product expression is established for the most basic case $\zeta(s,\mathbf{F}_p)\otimes\zeta(s,\mathbf{F}_q)$ by using the signed double Poisson summation formula and the theory of the double sine function.
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- Research Article
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- Foundation Compositio Mathematica 2004
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