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math.NT2000
Coleman integration using the Tannakian formalism
Amnon Besser
We use a new idea to construct a theory of iterated Coleman functions in higher dimensions than 1. A Coleman function in this theory consists of a unipotent differential equation,…
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Finite and p-adic polylogarithms
Amnon Besser
The finite n-th polylogarithm li_n(z) in Z/p[z] is defined as the sum on k from 1 to p-1 of z^k/k^n. We state and prove the following theorem. Let Li_k:C_p to C_p be the p-adic pol…