Construction of normal numbers via generalized prime power sequences

Manfred Madritsch (1) , Robert F. Tichy (2)

1 IECL - Institut Élie Cartan de Lorraine
2 Technische Universität Graz - Institut für Analysis und Computational Number Theory

We construct normal numbers in base q by concatenating q-adic expansions of prime powers $\left\lfloor\alpha p^\theta\right\rfloor$ with $\alpha>0$ and $\theta>1$.

Domaines: Théorie des nombres [math.NT]

Manfred Madritsch, Robert F. Tichy. Construction of normal numbers via generalized prime power sequences. Journal of Integer Sequences, 2013, Special Issue in Honor of the 60th Birthday of Jean-Paul Allouche, 16 (2), pp.13.2.12. ⟨hal-01316251⟩