Moments in the exact summation of the curious series of Kempner type
Moments in the exact summation of the curious series of Kempner type
We provide an exact geometrically convergent formula for the summation of the general Kempner series, i.e. the sum of all reciprocals allowed only certain digits in a given base. The coefficients are built from finite power sums and moments of a certain measure. The moments obey a linear recurrence and …