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An Explicit Formula of the Newman-Coquet Exponential Sum

Authors :
Kobayashi, Zenji
Muramoto, Katsushi
Okada, Tatsuya
Sekiguchi, Takeshi
Shiota, Yasunobu
Source :
Interdisciplinary information sciences. 13(1):1-6
Publication Year :
2007
Publisher :
Graduate School of Information Sciences, Tohoku University, 2007.

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.

Details

Language :
English
ISSN :
13409050
Volume :
13
Issue :
1
Database :
OpenAIRE
Journal :
Interdisciplinary information sciences
Accession number :
edsair.jairo.........a58a978b2223b93146302899905192fe