Regular sets and conditional density: an extension of Benford's law
Colloquium Mathematicum 103(2005), 173-192 MSC: Primary 11K99; Secondary 11B05. DOI: 10.4064/cm103-2-3
We give an extension of Benford's law (first digit problem) by using the concept of conditional density, introduced by Fuchs and Letta. The main tool is the notion of regular subset of integers.