Reprint: On the approximation to algebraic numbers. II: On the number of representations of integers by binary forms (1933)
Mahler, Kurt;
Reprint: On the approximation to algebraic numbers. II: On the number of representations of integers by binary forms (1933)
Summary: Extending his work in Part I, Mahler now shows that the number of representations of a rational integer \(g\) by a binary form \(F(x,y)\) is at most \(O(|g|^{\varepsilon})\), where \(\varepsilon\) is any arbitrarily small positive constant. Reprint of the author's paper [Math. Ann. 108, 37--55 (1933; Zbl 0006.15604; JFM 39.0269.01)]. For Part I see [Zbl 1465.11012].
Approximation to algebraic numbers, History of number theory
Approximation to algebraic numbers, History of number theory
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