We study topological, metric and fractal properties of the set
of subsums for the series of multigeneralized Fibonacci numbers. This
series is some perturbation of multigeometric series (Guthrie-Nymann's
series in special case). The set of subsums for this series can be a
Cantorval (infinite union of closed intervals and some nowhere dense
set). We also calculate Lebesgue measure for such Cantorvals.

Meeting ID: 852 4277 3200
Passcode: 103121