On some congruence with application to exponential sums

Details On some congruence with application to exponential sums On some congruence with application to exponential sums

2004-03-05

arxiv.org/abs/math/0403106v1

Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 1, February 2004, pp. 1-6

Mathematics

Number Theory

6 pages, no figures, no tables

Scientific paper

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.

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