Evaluating Binomial Character Sums Modulo Powers of Two |
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| Authors: | Vincent PIGNO Chris PINNER and Joe SHEPPARD |
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| Institution: | Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA;Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA;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. |
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| Keywords: | character sums |
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