Reprint: On the approximation to algebraic numbers. II: On the number of representations of integers by binary forms (1933) (Q1996496)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Reprint: On the approximation to algebraic numbers. II: On the number of representations of integers by binary forms (1933) |
scientific article; zbMATH DE number 7317812
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reprint: On the approximation to algebraic numbers. II: On the number of representations of integers by binary forms (1933) |
scientific article; zbMATH DE number 7317812 |
Statements
Reprint: On the approximation to algebraic numbers. II: On the number of representations of integers by binary forms (1933) (English)
0 references
5 March 2021
0 references
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].
0 references
0.8912246823310852
0 references
0.8327059745788574
0 references
0.8226800560951233
0 references
0.8210047483444214
0 references
