An explicit formula of the exponential sums of digital sums
type: Item
instance of: scholarly article
title: An explicit formula of the exponential sums of digital sums
zbMATH Open document ID: 0844.11007
DOI: 10.1007/BF03167237
author: Tatsuya Okada
author: Takeshi Sekiguchi
author: Yasunobu Shiota
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1996-09-01T00:00:00Z
review text: The authors use the distribution function of the binomial measure in order to give an explicit formula for exponential sums of the sums of digit functions. An application to the sums of powers of digital sums is made.
Mathematics Subject Classification ID: 11A63
Mathematics Subject Classification ID: 11L03
zbMATH DE Number: 852110
zbMATH Keywords: distribution function
zbMATH Keywords: binomial measure
zbMATH Keywords: exponential sums
zbMATH Keywords: sum of digit functions
zbMATH Keywords: sums of powers of digital sums
reviewed by: Peter Kirschenhofer
MaRDI profile type: Publication
cites work: An Asymptotic Formula for the Average Sum of the Digits of Integers
cites work: A summation formula related to the binary digits
cites work: Power sums of digital sums
cites work: Sur la fonction sommatoire de la fonction 'somme des chiffres'
cites work: Q4281090
cites work: Number of Odd Binomial Coefficients
cites work: The Takagi function and its generalization
cites work: Q5791688
cites work: Applications of binomial measures to power sums of digital sums
cites work: A generalization of Hata-Yamaguti's results on the Takagi function. II: Multinomial case
cites work: On Some Singular Monotonic Functions Which Are Strictly Increasing
cites work: A generalization of Hata-Yamaguti's results on the Takagi function
cites work: Exponential sums of sum-of-digit functions
cites work: Power and Exponential Sums of Digital Sums Related to Binomial Coefficient Parity
cites work: An Explicit Expression for Binary Digital Sums
description: scientific article; zbMATH DE number 852110