论文标题

有效的ERD \ H OS- WINTNER定理

Effective Erd\H os--Wintner theorems

论文作者

Tenenbaum, Gérald, Verwee, Johann

论文摘要

ERD \ H OS \&Wintner的经典定理为存在的真实,加性算术函数的限制分布提供了标准。这项工作专门为剩余期限提供了有效的估计,假设标准中的条件已得到满足。我们还研究了条件分布的情况。

The classical theorem of Erd\H os \& Wintner furnishes a criterion for the existence of a limiting distribution for a real, additive arithmetical function. This work is devoted to providing an effective estimate for the remainder term under the assumption that the conditions in the criterion are fulfilled. We also investigate the case of a conditional distribution.

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