Kobayashi, Zenji Digital sum problems for the Gray code representation of natural numbers. (English) Zbl 1018.11005 Interdiscip. Inf. Sci. 8, No. 2, 167-175 (2002). Summary: We give simple explicit formulas of the power sum and the exponential sum of digital sums of the Gray code representation of natural numbers by use of the distribution function of the singular measure. Cited in 1 ReviewCited in 10 Documents MSC: 11A63 Radix representation; digital problems 11L03 Trigonometric and exponential sums (general theory) 68P30 Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science) Keywords:singular function; power sum; exponential sum of digital sums; Gray code representation; singular measure PDFBibTeX XMLCite \textit{Z. Kobayashi}, Interdiscip. Inf. Sci. 8, No. 2, 167--175 (2002; Zbl 1018.11005) Full Text: DOI