Evaluating Binomial Character Sums Modulo Powers of Two |
Received:March 13, 2014 Revised:January 16, 2015 |
Key Words:
character sums
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Fund Project:The first and third authors acknowledge support of K-State's I-Center and Arts \& Sciences Undergraduate Research Scholarships Respectively. |
Author Name | Affiliation | 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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