On the β-Expansion of an Algebraic Number in an Algebraic Base β

Yann Bugeaud
2009 Integers  
Let α in (0, 1] and β > 1 be algebraic numbers. We study the asymptotic behaviour of the function that counts the number of digit changes in the β-expansion of α.
doi:10.1515/integ.2009.021 fatcat:rxvs73hppzgexdqayebvv4pbou