Multizeta values for function fields: A survey

Dinesh S. Thakur

doi:10.5802/jtnb.1009

Dinesh S. Thakur ¹

¹ Department of Mathematics University of Rochester Rochester, NY 14627, USA

Journal de théorie des nombres de Bordeaux, Volume 29 (2017) no. 3, pp. 997-1023.

Abstract
Résumé

We give a survey of the recent developments in the understanding of the multizeta values for function fields.

Nous donnons une vue d’ensemble des développements récents concernant la compréhension des valeurs multi-zêta pour les corps de fonctions.

Received: 2016-10-04
Revised: 2017-04-26
Accepted: 2017-05-11
Published online: 2017-12-12

DOI: 10.5802/jtnb.1009

Classification: 11M32, 11G09
Keywords: t-motives, periods, shuffle relations, polylogarithms, mixed Tate motives

Author's affiliations:

Dinesh S. Thakur ¹

¹ Department of Mathematics University of Rochester Rochester, NY 14627, USA

License:

CC-BY-ND 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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Dinesh S. Thakur. Multizeta values for function fields: A survey. Journal de théorie des nombres de Bordeaux, Volume 29 (2017) no. 3, pp. 997-1023. doi : 10.5802/jtnb.1009. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1009/

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