On the distribution of digits in Cantor representations of integers

DOI10.1016/0022-314X(84)90048-9zbMath0582.10038MaRDI QIDQ1068887

Peter Kirschenhofer, Robert F. Tichy

Publication date: 1984

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

sum of digitsasymptotic formulas on average valuesaverage numbers of occurrences of fixed subblocksCantor representation of integers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (10)

Generalized adding machines and Julia sets ⋮ A lower bound for a remainder term associated with the sum of digits function ⋮ Difference of the digital sums of an integer base b and its prime factors ⋮ On digit expansions with respect to linear recurrences ⋮ Alternate Base Numeration Systems ⋮ Sum-of-digits function for certain nonstationary bases ⋮ Spectra of generalized stochastic adding machines ⋮ Unnamed Item ⋮ Expansions in Cantor real bases ⋮ Estimates for a remainder term associated with the sum of digits function

Cites Work

• Unnamed Item
• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• Subblock Occurrences in the q-Ary Representation of n
• Generalizing the Sum of Digits Function
• An Asymptotic Formula for the Average Sum of the Digits of Integers
• On a problem in additive number theory

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