Finite polylogarithms, their multiple analogues and the Shannon entropy
Résumé
We show that the entropy function—and hence the finite 1-logarithm—behaves a lot like certain derivations. We recall its coho-mological interpretation as a 2-cocycle and also deduce 2n-cocycles for any n. Finally, we give some identities for finite multiple polylogarithms together with number theoretic applications.
Origine | Fichiers produits par l'(les) auteur(s) |
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