The Primes for Which an Abelian Cubic Polynomial Splits
HUARD, James G. ; SPEARMAN, Blair K. ; WILLIAMS, Kenneth S.
Tokyo J. of Math., Tome 17 (1994) no. 2, p. 467-478 / Harvested from Project Euclid
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Let $X^3+AX+B$ be an irreducible abelian cubic polynomial in $Z[X]$. We determine explicitly integers $a_1,\ldots,a_t$, $F$ such that, except for finitely many primes $p$, \[ x^3+Ax+B\equiv 0\pmod{p} \text{ has three solutions} \Leftrightarrow p\equiv a_1,\ldots,a_t\pmod{F}. \]
Publié le : 1994-12-15
Classification:  
@article{1270127967,
     author = {HUARD, James G. and SPEARMAN, Blair K. and WILLIAMS, Kenneth S.},
     title = {The Primes for Which an Abelian Cubic Polynomial Splits},
     journal = {Tokyo J. of Math.},
     volume = {17},
     number = {2},
     year = {1994},
     pages = { 467-478},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270127967}
}

HUARD, James G.; SPEARMAN, Blair K.; WILLIAMS, Kenneth S. The Primes for Which an Abelian Cubic Polynomial Splits. Tokyo J. of Math., Tome 17 (1994) no. 2, pp.  467-478. http://gdmltest.u-ga.fr/item/1270127967/