A Note on Twisted Bernoulli Measures
Algebraic Geometry
2018-04-23 v1
Abstract
We introduce the twisted Bernoulli measures as a family of p-adic measures parametrized by the complement of the open disc with radius 1 and centered at 1 in the completion of an algebraic closure of p-adic numbers. These measures are the higher order versions of the measure used by Koblitz and Coleman to interpret (p-adic) polylogarithms. We also prove that these measures are the unique p-adic measures that can be obtained from polynomials over the field Q(y) which is similar to the uniqueness property of Bernoulli measures.
Keywords
Cite
@article{arxiv.1804.07546,
title = {A Note on Twisted Bernoulli Measures},
author = {Altan Erdoğan},
journal= {arXiv preprint arXiv:1804.07546},
year = {2018}
}