New criteria for canonical number systems
Nombres algébriques et substitutions
Normal number constructions for Cantor series with slowly growing bases
Let be a sequence of bases with . In the case when the are slowly growing and satisfy some additional weak conditions, we provide a construction of a number whose -Cantor series expansion is both -normal and -distribution normal. Moreover, this construction will result in a computable number provided we have some additional conditions on the computability of , and from this construction we can provide computable constructions of numbers with atypical normality properties.
Normal recurring decimals, normal periodic systems, (j,ε) - normality, and normal numbers
Normality of numbers generated by the values of polynomials at primes
Note on Egyptian fractions.
Note on the diophantine equation 1 + x + x2 + ... + xn = ym.
Notes on generalized Dedekind sums
Numeration systems, substitution dynamical systems and Rauzy fractals.