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  最后修改时间: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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