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On functional relations between the Mordell–Tornheim double zeta functions and the Riemann zeta function

Published online by Cambridge University Press:  01 May 2007

HIROFUMI TSUMURA*
Affiliation:
Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1, Minami-Ohsawa, Hachioji, Tokyo192-0397, Japan.

Abstract

In this paper, we give certain analytic functional relations between the Mordell–Tornheim double zeta functions and the Riemann zeta function. These can be regarded as continuous generalizations of the known discrete relations between the Mordell–Tornheim double zeta values and the Riemann zeta values at positive integers discovered in the 1950's.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2007

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References

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