An Explicit Formula of the Newman-Coquet Exponential Sum

Zenji KOBAYASHI; Katsushi MURAMOTO; Tatsuya OKADA; Takeshi SEKIGUCHI; Yasunobu SHIOTA

doi:10.4036/iis.2007.1

Interdisciplinary Information Sciences

Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050

An Explicit Formula of the Newman-Coquet Exponential Sum

Zenji KOBAYASHI, Katsushi MURAMOTO, Tatsuya OKADA, Takeshi SEKIGUCHI, Yasunobu SHIOTA

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Keywords: digital sum problem, singular function, multinomial measure, difference equation

JOURNAL FREE ACCESS

2007 Volume 13 Issue 1 Pages 1-6

DOI https://doi.org/10.4036/iis.2007.1

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Abstract

In this paper, we first give an explicit formula of the exponential sum of sum of digits with complex coefficients. As an application of this formula, we obtain a simple expression of Newman-Coquet summation formula related to the number of binary digits in a multiple of three.

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