Construction of normal numbers via pseudo-polynomial prime sequences

DOI10.4064/aa166-1-7zbMath1321.11103arXiv1412.3285OpenAlexW3099679470MaRDI QIDQ2925471

Manfred G. Madritsch

Publication date: 22 October 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3285

zbMATH Keywords

normal numberpseudo-polynomial

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Radix representation; digital problems (11A63)

Related Items

Dynamical Systems and Uniform Distribution of Sequences ⋮ Construction of \(\mu \)-normal sequences ⋮ Normality in Pisot numeration systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The summatory function of \(q\)-additive functions on pseudo-polynomial sequences
• Uniform distribution of prime powers and sets of recurrence and van der Corput sets in \(\mathbb{Z}^k\)
• Sequences, discrepancies and applications
• On a problem of Gelfond: the sum of digits of prime numbers
• Normality of numbers generated by the values of entire functions
• Discrepancy of normal numbers
• Some extremal functions in Fourier analysis
• Trigonometric sums over primes I
• On the sum of digits of prime numbers
• On the sum of digits of primes
• The Construction of Decimals Normal in the Scale of Ten