Vincent PIGNO,Chris PINNER,Joe SHEPPARD.Evaluating Binomial Character Sums Modulo Powers of Two[J].数学研究及应用,2015,35(2):137~142 |
Evaluating Binomial Character Sums Modulo Powers of Two |
Evaluating Binomial Character Sums Modulo Powers of Two |
投稿时间:2014-03-13 修订日期:2015-01-16 |
DOI:10.3770/j.issn:2095-2651.2015.02.003 |
中文关键词: character sums |
英文关键词:character sums |
基金项目:The first and third authors acknowledge support of K-State's I-Center and Arts & Sciences Undergraduate Research Scholarships Respectively. |
作者 | 单位 | Vincent PIGNO | Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA | Chris PINNER | Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA | Joe SHEPPARD | Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA |
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中文摘要: |
We show that for any mod $2^m$ characters, $\chi_1, \chi_2,$ the complete exponential sum, $\sum_{x=1}^{2^m}\chi_1(x) \chi_2(Ax^k+B)$ has a simple explicit evaluation. |
英文摘要: |
We show that for any mod $2^m$ characters, $\chi_1, \chi_2,$ the complete exponential sum, $\sum_{x=1}^{2^m}\chi_1(x) \chi_2(Ax^k+B)$ has a simple explicit evaluation. |
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