Soon-Mo Jung

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math.NT2004

On some congruence with application to exponential sums

Soon-Mo Jung

We will study the solution of a congruence, $x \equiv g^{(1/2) ω_{g} (2^{n})} mod 2^{n}$ , depending on the integers $g$ and $n$ , where $ω_{g} (2^{n})$ denotes the order of $g$ modulo $2^{n}$ . M…

math.NT2003

Some functional equations originating from number theory

Soon-Mo Jung, Jae-Hyeong Bae

We will introduce new functional equations (\ref{eq:hana}) and (\ref{eq:hana2}) which are strongly related to well-known formulae (\ref{eq:young}) and (\ref{eq:young2}) of number t…