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A bound on the norm of overconvergent p-...
Jarossay, David...
A bound on the norm of overconvergent p-adic multiple polylogarithms by Jarossay, David ( Author )
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30-03-2015
We generalize the definition of overconvergent p-adic multiple polylogarithms and of p-adic cyclotomic multiple zeta values and we prove a bound on their norm. A byproduct of the proof is a characterization of these objects in terms of certain regularized p-adic iterated integrals. The generalization of the definition consists in replacing the underlying Frobenius structure by its iterations. The bound on the norms of overconvergent p-adic multiple polylogarithms that we obtain is a prerequisite for our subsequent papers on p-adic cyclotomic multiple zeta values.
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https://arxiv.org/abs/1503.08756
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