Scaling of spectra of Cantor-type measures and some number theoretic   considerations
  We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore ways to determine when an odd natural number $m$ generates a complete or incomplete Fourier basis for a Cantor-type measure with scale $g$. 
Dorin Ervin Dutkay, Isabelle Kraus
math.NT