## Reprint: Zur Approximation algebraischer Zahlen. II: Über die Anzahl der Darstellungen ganzer Zahlen durch Binärformen (1933)

##### Doc. Math. Extra Vol. Mahler Selecta, 367-386 (2019)
DOI: 10.25537/dm.2019.SB-367-386

### 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. \par 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].

11-03, 11J68