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A necessary condition for certain Primes to be written in the form x^q+ry^q

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: Diana Savin, Mirela Stefanescu

Editorial: Journal of Algebra and Its Applications, vol. 10. no.3, p.435-443, 2011.

Rezumat:

We give a characterization of the prime natural numbers p of the form x^q + ry^q, where q and r are distinct odd primes.

Keywords: Diophantine equations; Kummer fields; cyclotomic fields; Hilbert class field.
Mathematics Subject Classification 2000: 11D41, 11S15

Cuvinte cheie: class field theory, Kummer fields; cyclotomic fields; Hilbert class field

URL: http://www.worldscinet.com/jaa/