Multizeta values for function fields: A survey
نویسندگان
چکیده
منابع مشابه
Arithmetic of Gamma, Zeta and Multizeta Values for Function Fields
We explain work on the arithmetic of Gamma and Zeta values for function fields. We will explore analogs of the gamma and zeta functions, their properties, functional equations, interpolations, their special values, their connections with periods of Drinfeld modules and t-motives, algebraic relations they satisfy and various methods showing that there are no more relations between them. We also ...
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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 CarlitzTate t-motives and related motivic aspects. We also verify Taelman’s recent conjectures in special cases. 2010 Mathematics Subject Classifica...
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Despite the failure of naive analogs of the sum shuffle or integral shuffle relations, and despite the lack of understanding of analogs of many classical structures that exist in the corresponding theory in the number field case, the multizeta values defined by the author are proved (and conjectured) to satisfy many interesting and combinatorially involved identities. The connections of these m...
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2017
ISSN: 1246-7405,2118-8572
DOI: 10.5802/jtnb.1009