On some congruence with application to exponential sums

Soon-Mo Jung

On some congruence with application to exponential sums

数论 2007-05-23 v1

作者: Soon-Mo Jung

摘要

We will study the solution of a congruence, $x \equiv g^{(1/2)\omega_g(2^n)} \bmod 2^n$ , depending on the integers $g$ and $n$ , where $\omega_g(2^n)$ 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.

关键词

congruences and supercongruences exponential sums divisor function

引用

@article{arxiv.math/0403106,
  title  = {On some congruence with application to exponential sums},
  author = {Soon-Mo Jung},
  journal= {arXiv preprint arXiv:math/0403106},
  year   = {2007}
}

备注

6 pages, no figures, no tables

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