[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2010.25.2.167

THE NUMBERS THAT CAN BE REPRESENTED BY A SPECIAL CUBIC POLYNOMIAL

Park, Doo-Sung (DEPARTMENT OF MATHEMATICS CALIFORNIA INSTITUTE OF TECHNOLOGY)
Bang, Seung-Jin (DEPARTMENT OF MATHEMATICS AJOU UNIVERSITY)
Choi, Jung-Oh (SAETBYEOL MIDDLE SCHOOL)

Publication Information

Communications of the Korean Mathematical Society / v.25, no.2, 2010 , pp. 167-171 More about this Journal

Abstract

We will show that if d is a cubefree integer and n is an integer, then with some suitable conditions, there are no primes p and a positive integer m such that d is a cubic residue (mod p), $3\;{\nmid}\;m$ , p || n if and only if there are integers x, y, z such that $x^3\;+\;dy^3\;+\;d^2z^3\;-\;3dxyz\;=\;n$ .

Keywords

number theory;

Citations & Related Records

Times Cited By SCOPUS : 0

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