Published 2010
| public
Journal Article
The numbers that can be represented by a special cubic polynomial
- Creators
- Park, Doo Sung
- Bang, Seung Jin
- Choi, Jung Oh
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 | m, p || n if and only if there are integers x, y, z such that x^3 + dy^3 + d^2z^3 − 3dxyz = n.
Additional Information
© 2010 The Korean Mathematical Society. Received June 10, 2009.Additional details
- Eprint ID
- 19609
- DOI
- 10.4134/CKMS.2010.25.2.167
- Resolver ID
- CaltechAUTHORS:20100824-074645979
- Created
-
2010-08-30Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field