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

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.

12 pages, LaTeX

References in corpus (2)

• Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
• Determination of the algebraic relations among special Gamma-values in positive characteristic

Cited by in corpus (6)

• Linear independence of monomials of multizeta values in positive characteristic
• Relations between multizeta values in characteristic p
• Some conjectures and results about multizeta values for F_q[t]
• Hopf algebras and multiple zeta values in positive characteristic
• Integrality of $v$-adic multiple zeta values
• Hopf algebras and alternating multiple zeta values in positive characteristic