The Distribution of Generalized Sum -of -Digits Functions
Hoit, Abigail
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https://hdl.handle.net/2142/86975
Description
Title
The Distribution of Generalized Sum -of -Digits Functions
Author(s)
Hoit, Abigail
Issue Date
1999
Doctoral Committee Chair(s)
Hildebrand, A.J.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
"Let Q=Qjinfinity j=0 be a strictly increasing sequence of integers with Q 0 = 1 and such that each Qj is a divisor of Qj+1 . The sequence Q is a numeration system in the sense that every positive integer n has a unique ""base- Q"" representation of the form n=j≥0aj nQj with ""digits"" aj( n) satisfying 0≤ajn
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