Multizeta in function field arithmetic

  • Dinesh S. Thakur

    University of Rochester, USA
Multizeta in function field arithmetic cover

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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 Carlitz–Tate -motives and related motivic aspects. We also verify Taelman's recent conjectures in special cases.