A Polynomial Diophantine Equation (M. S. Klamkin)
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چکیده
منابع مشابه
A Binomial Diophantine Equation
following result. THEOREM 1. The only (n,m)eZ with n^2 and m5=4 satisfying © = ( 7 ) a r e {n> m)=(2> 4)> (6> 6)> and (21> Our binomial diophantine equation represents an elliptic curve, since it can be rewritten as a quartic polynomial being a square. Indeed, on putting u = 2/i 1 and v = 2m 3, we see at once that Theorem 1 follows from the following result. THEOREM 2. The only (u, v) e Z with ...
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ژورنال
عنوان ژورنال: SIAM Review
سال: 1974
ISSN: 0036-1445,1095-7200
DOI: 10.1137/1016015