Simply Normal Numbers to Different Bases

: Let b 2 be an integer. A real number is called simply normal to base b if in its representation to base b every digit appears with the same asymptotic frequency. We answer the following question for arbitrary integers a, b 2: if a real number is simply normal to base a, does this imply that it is also simply normal to base b? It turns out that the answer is different from the well

• Type: Journal
• Year: 2002
• Where: JUCS
• Authors: Peter Hertling
• Keywords: Arbitrary Integers, Asymptotic Frequency, JUCS 2002, Real Number