A NOTE ON MULTIPLE ZETA VALUES IN TATE ALGEBRAS

F Pellarin (1, 2)

1 CTN - Combinatoire, théorie des nombres
2 ICJ - Institut Camille Jordan

In this note, we shall discuss a generalization of Thakur's multiple zeta values and allied objects, in the framework of function fields of positive characteristic and more precisely, of periods in Tate algebras.

Mots clés: Multiple zeta values; Carlitz module; $A$-harmonic sums

Domaines: Théorie des nombres [math.NT]

F Pellarin. A NOTE ON MULTIPLE ZETA VALUES IN TATE ALGEBRAS. Riv.Mat.Univ.Parma, 2016, 7, pp.71-100. ⟨hal-01263097v2⟩