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Session S09 - Number Theory in the Americas

Wednesday, July 14, 15:30 ~ 16:00 UTC-3

Creating normal numbers using the factorisation of integers

Jean-Marie De Koninck

U. Laval, Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Given an integer $q\ge 2$, we say that an irrational number is {\it $q$-normal} if, as we examine its base $q$ expansion, we find that any sequence of $k$ digits appears with a frequency of $1/q^k$. We will show how one can use the local chaos and global regularity both inherent to the factorization of integers in order to create large families of normal numbers.

Joint work with Imre K\'atai (Eotvos Lorand University, Hungary).

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