Electronic Resource
Springer
Monatshefte für Mathematik
98 (1984), S. 185-191
ISSN:
1436-5081
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Using Eisenstein's law of cubic reciprocity we investigate cases in whichx 3=y 2+k is unsolvable in the ring of rational integers ℂ In particular we show, that for all primesp ≢ ± 1 (mod 9),p≠3, the equationx 3=y 2+3p(p±9) has no solutions in ℂ.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01507747
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