Cubic Thue equations with many solutions
نویسنده
چکیده
We shall prove that if F is a cubic binary form with integer coefficients and non-zero discriminant then there is a positive number c, which depends on F, such that the Thue equation F (x, y) = m has at least c(logm) solutions in integers x and y for infinitely many positive integers m.
منابع مشابه
Integer points on cubic Thue equations
We prove that there are infinitely many inequivalent cubic binary forms F with content 1 for which the Thue equation F (x, y) = m has ≫ (logm) solutions in integers x and y for infinitely many integers m.
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