Evaluating Binomial Character Sums Modulo Powers of Two

preprint2014arXivOpen access

We show that for any mod $2^m$ characters, $χ_1, χ_2,$ the complete exponential sum, $\sum_{x=1}^{2^m}χ_1(x) χ_2(Ax^k+B),$ has a simple explicit evaluation.

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Evaluating Binomial Character Sums Modulo Powers of Two

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