Evaluating Binomial Character Sums Modulo Powers of Two
Received:March 13, 2014  Revised:January 16, 2015
Key Words: character sums  
Fund Project:The first and third authors acknowledge support of K-State's I-Center and Arts \& Sciences Undergraduate Research Scholarships Respectively.
Author NameAffiliation
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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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:2095-2651.2015.02.003
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