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

DOI：10.3770/j.issn:2095-2651.2015.02.003

 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

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.

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.