Construction of normal numbers via pseudo-polynomial prime sequences

TL;DR

This paper introduces a method to construct normal numbers in a given base by concatenating expansions of pseudo-polynomials evaluated at prime numbers, extending previous work in the field.

Contribution

It presents a novel approach to constructing normal numbers using pseudo-polynomial prime sequences, expanding on prior results by Tichy and the author.

Findings

Successfully constructs normal numbers in base q

Extends previous methods to pseudo-polynomial sequences

Provides a new technique for normal number construction

Abstract

In the present paper we construct normal numbers in base $q$ by concatenating $q$-ary expansions of pseudo polynomials evaluated at the primes. This extends a recent result by Tichy and the author.