The Diophantine equation $X(X + 1) = Y(Y^2 + 1)$.
نویسندگان
چکیده
منابع مشابه
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متن کاملON THE DIOPHANTINE EQUATION x m − 1 x − 1 = yn − 1 y − 1
There is no restriction in assuming that y > x in (1) and thus we have m > n. This equation asks for integers having all their digits equal to one with respect to two distinct bases and we still do not know whether or not it has finitely many solutions. Even if we fix one of the four variables, it remains an open question to prove that (1) has finitely many solutions. However, when either the b...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1991
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-12354