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Thakur, Dinesh S.

Multizeta in function field arithmetic. (English) Zbl 1441.11222

Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 441-452 (2020).
Summary: This is a brief report on recent work of the author (some joint with Greg Anderson) and his student on multizeta values for function fields. This includes definitions, proofs and conjectures on the relations, period interpretation in terms of mixed Carlitz-Tate \(t\)-motives and related motivic aspects. We also verify L. Taelman’s recent conjectures in special cases [Math. Ann. 348, No. 4, 899–907 (2010; Zbl 1217.11062)].
For the entire collection see [Zbl 1441.14003].

Cited in 6 Documents

MSC:

11M32 Multiple Dirichlet series and zeta functions and multizeta values
11G09 Drinfel’d modules; higher-dimensional motives, etc.
11R58 Arithmetic theory of algebraic function fields
11M38 Zeta and \(L\)-functions in characteristic \(p\)

Keywords:

mixed motives; extensions; Drinfeld modules; shuffle

Citations:

Zbl 1217.11062
Cite Review PDF
Full Text: DOI

References:

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