CaltechAUTHORS
Published 2010 | Version public
Journal Article Metadata-only

The numbers that can be represented by a special cubic polynomial

Creators

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

Identifiers

Eprint ID
19609
DOI
10.4134/CKMS.2010.25.2.167
Resolver ID
CaltechAUTHORS:20100824-074645979

Related works

Describes
10.4134/CKMS.2010.25.2.167 (DOI)

Dates

Created
2010-08-30
Created from EPrint's datestamp field
Updated
2021-11-08
Created from EPrint's last_modified field