On Diophantine equations of the form $x\sp{n}+y\sp{n} =hp\sp{m}$
نویسندگان
چکیده
منابع مشابه
On Some Diophantine Equations of the Form hX+Y= Z
We show the impossibility of primitive non-zero solutions to the title equation if h = 3 and n ∈ {3, 4, 5, 6} and if h ∈ {11, 19, 43, 67, 163} and n ∈ {4, 5, }. The proofs are based solely on elementary methods with no use of computers and the elliptic curve machinery. Mathematics Subject Classification: 11D41
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1961
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1961-0136576-7