Multizeta values for Fq[t], their period interpretation, and relations between them

Greg W. Anderson; Dinesh S. Thakur

doi:10.1093/imrp/rnp010

Multizeta values for F_q[t], their period interpretation, and relations between them

Greg W. Anderson, Dinesh S. Thakur

School of Mathematics

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

We provide a period interpretation for multizeta values (in the function field context) in terms of explicit iterated extensions of tensor powers of Carlitz motives (mixed Carlitz-Tate t-motives). We give examples of combinatorially involved relations that these multizeta values satisfy.

Original language	English (US)
Pages (from-to)	2038-2055
Number of pages	18
Journal	International Mathematics Research Notices
Volume	2009
Issue number	11
DOIs	https://doi.org/10.1093/imrp/rnp010
State	Published - Feb 2009

Bibliographical note

Funding Information:
We thank the referee for the suggestions to improve the exposition. The second author thanks the Ellentuck Fund and the von Neumann Fund for their support during his stay at the Institute for Advanced Study at Princeton during Spring 2008, where this article was finalized. He was supported by the National Security Agency (grant 98230-08-1-0049).

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10.1093/imrp/rnp010

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