The complex sum of digits function and primes

DOI10.5802/JTNB.271zbMath1012.11071OpenAlexW2335681624MaRDI QIDQ5939701

Jörg M. Thuswaldner

Publication date: 30 July 2001

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2000__12_1_133_0

zbMATH Keywords

radix representationErdős-Kac TheoremGaussian integerssum of digits function

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (2)

Joint distribution of completely \(q\)-additive functions in residue classes ⋮ An Erdős-Kac theorem for systems of \(q\)-additive functions

Cites Work

• On the arithmetic structure of sets characterized by sum of digits properties
• The sum of digits function in number fields: distribution in residue classes
• Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
• The Moments of the Sum-Of-Digits Function in Number Fields
• The Sum-of-Digits Function for Complex Bases
• On the arithmetic structure of the integers whose sum of digits is fixed
• Canonical number systems in algebraic number fields
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• On Exponential Sums Over an Algebraic Number Field
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