On exponential sums of digital sums related to Gelfond's theorem

被引：0
|
作者：
Okada, Tatsuya [1 ]
Kobayashi, Zenji [2 ]
Sekiguchi, Takeshi [2 ]
Shiota, Yasunobu [2 ]
机构：
[1] Fukushima Med Univ, Sch Med, Dept Math, Fukushima 9601295, Japan
[2] Tohoku Gakuin Univ, Dept Informat Sci, Sendai, Miyagi 9813193, Japan
来源：
DIOPHANTINE ANALYSIS AND RELATED FIELDS - DARF 2007/2008 | 2008年 / 976卷
关键词：
digital sum problem; singular function; multinomial measure;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we first give explicit formulas of exponential sums of sum of digits related to Gelfond's theorem. As an application of these formulas, we obtain a simple expression of Newman-Coquet type summation formula related to the number of binary digits in a multiple of a prime number.
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页码：176 / +
页数：3
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