An explicit formula of the exponential sums of digital sums

DOI10.1007/BF03167237zbMath0844.11007MaRDI QIDQ1908885

Yasunobu Shiota, Tatsuya Okada, Takeshi Sekiguchi

Publication date: 1 September 1996

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

exponential sumsdistribution functionbinomial measuresum of digit functionssums of powers of digital sums

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Trigonometric and exponential sums (general theory) (11L03)

Related Items (11)

Moments of distributions related to digital expansions ⋮ Systems of functional equations and generalizations of certain functions ⋮ A certain modification of classical singular function ⋮ The Takagi function: a survey ⋮ On hybrid fractal curves of the Heighway and Lévy dragon curves ⋮ Distribution of the sum-of-digits function of random integers: a survey ⋮ Power and exponential sums for generalized coding systems by a measure theoretic approach ⋮ A generalization of Hata-Yamaguti's results on the Takagi function. II: Multinomial case ⋮ Unnamed Item ⋮ On the set of points where Lebesgue's singular function has the derivative zero ⋮ A probability measure which has Markov property

Cites Work

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• The Takagi function and its generalization
• Number of Odd Binomial Coefficients
• Power and Exponential Sums of Digital Sums Related to Binomial Coefficient Parity
• An Explicit Expression for Binary Digital Sums
• An Asymptotic Formula for the Average Sum of the Digits of Integers
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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