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On some congruence with application to exponential sums

Soon-Mo Jung
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Abstract

We will study the solution of a congruence, $x \equiv g^{(1/2)ω_g(2^n)} \bmod 2^n$, depending on the integers $g$ and $n$, where $ω_g(2^n)$ denotes the order of $g$ modulo $2^n$. Moreover, we introduce an application of the above result to the study of an estimation of exponential sums.

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Soon-Mo Jung. 2004-03-05. On some congruence with application to exponential sums. https://arxiv.org/abs/math/0403106

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