3 citations · 5 across the 5 of their papers we have counts for
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A short proof of de Shalit's cup product formula
Amnon Besser
We give a short proof of a formula of de Shalit, expressing the cup product of two vector valued one forms of the second kind on a Mumford curve in terms of Coleman integrals and r…
The double shuffle relations for p-adic multiple zeta values
Amnon Besser, Hidekazu Furusho
We give a proof of double shuffle relations for -adic multiple zeta values by developing higher dimensional version of tangential base points and discussing a relationship with…
p-adic Arakelov theory
Amnon Besser
We introduce the p-adic analogue of Arakelov intersection theory on arithmetic surfaces. The intersection pairing in an extension of the p-adic height pairing for divisors of degre…
The p-adic height pairings of Coleman-Gross and of Nekovar
Amnon Besser
We prove that the p-adic height pairing of Nekovar, considered for algebraic curves, gives the p-adic height pairing of Coleman and Gross, defined using Coleman integration.
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,…
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…