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arXiv 1804.07546math.AG
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关于扭曲Bernoulli测度的一个注记

A Note on Twisted Bernoulli Measures

Altan Erdoğan

摘要:

我们引入扭曲Bernoulli测度作为一族p-adic测度,它由半径为1的开圆盘的补来参数化,并在p-adic数的代数闭包的完备化中以1为中心.这些措施是高阶版本的措施所使用的Koblitz和科尔曼解释(p-adic)polygonms。我们还证明了这些测度是唯一的p-adic测度,可以从域Q(y)上的多项式得到,这类似于Bernoulli测度的唯一性。

英文摘要:

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.

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