The Sum-of-Digits Function for Complex Bases
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Publication:4265438
DOI10.1112/S0024610798005663zbMath0959.11045MaRDI QIDQ4265438
Prodinger, Helmut, Peter Kirschenhofer, Peter J. Grabner
Publication date: 2 May 2001
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
asymptotic formulauniform distributionsummatory functionnumeration systemdigital expansionssum-of-digits functioncomplex bases
Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Algebraic numbers; rings of algebraic integers (11R04)
Related Items (12)
Dynamical directions in numeration ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ The sum of digits of Gaussian primes ⋮ Unnamed Item ⋮ The complex sum of digits function and primes ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in number systems ⋮ The sum of digits of squares in \(\mathbb Z[i\)] ⋮ A PRECISE DESCRIPTION OF THE p-ADIC VALUATION OF THE NUMBER OF ALTERNATING SIGN MATRICES ⋮ The sum of digits of primes in \(\mathbb Z[i\)] ⋮ Positional number systems with digits forming an arithmetic progression ⋮ Some open questions ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in the Gaussian number field
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