Prefer a chat interface with context about you and your work?
Measures for the summation of Irwin series
We consider among the Irwin series (1916) those which are the sums of the reciprocals of the integers having $k$ occurrences of a given digit $d$ (in an arbitrary base $b$). We formulate them as log-like integrals against suitable measures on the unit interval. This leads to representations as geometrically …