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Alladi, K. (1977) Duality between Prime Factors and an Application to the Prime Number Theorem for Arithmetic Progressions. Journal of Number Theory, 97, 436-451.
http://dx.doi.org/10.1016/0022-314X(77)90005-1

被以下文章引用:

• 标题: 素因数之间的一个对偶公式A Duality Formula between Prime Factors

  作者: 杨继明

  关键字: 对偶公式, 有单位元的交换环, 素因数, 反转公式, Duality Formula, Commutative Ring with Identity, Prime Factor, Inversion Formula

  期刊名称: 《Pure Mathematics》, Vol.6 No.1, 2016-01-28

  摘要: 本文把K. Alladi关于素因数之间的一个对偶公式推广到取值在有单位元的交换环的数论函数上，并且得到了若干其他类型的对偶公式。 In this paper we generalize K. Alladi’s duality formula between prime factors to number theoretic functions valued in any commutative ring with identity, and deduce several other kind of duality formulae.