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Journal Article

Multiple zeta values and ideles

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Horozov,  I.
Max Planck Institute for Mathematics, Max Planck Society;

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Horozov, I. (2019). Multiple zeta values and ideles. The Ramanujan Journal, 49(1), 215-230. doi:10.1007/s11139-018-0101-0.


Cite as: https://hdl.handle.net/21.11116/0000-0004-9D72-B
Abstract
In this paper we give two idelic representations of the multiple zeta values—one using iterated integrals over the finite ideles and the other using iterated integrals over the idele class group. The two representations lead to stuffle and shuffle relations, respectively. Using iterated integrals over the ideles, we recover in a unified way the double shuffle relations for multiple zeta values.