Multiple Dedekind Zeta Functions

Details Multiple Dedekind Zeta Functions Multiple Dedekind Zeta Functions

2011-01-08

arxiv.org/abs/1101.1594v1

Mathematics

Number Theory

13 pages

Scientific paper

In this paper we define multiple Dedekind zeta functions as a new type of iterated integrals. This new class of functions have many properties. They can be written as infinite sums. They have integral representation and meromorphic continuation. We also prove that at the positive integers the multiple Dedekind zeta values are periods. In particular, the Dedekind zeta function can be written in terms of the new type of iterated integral and at the positive integers the corresponding iterated integrals give periods.

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