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- W4361793017 abstract "Let $F(x,y)$ be a binary form of degree $nge 3$ with integer coefficients and non-vanishing discriminant, and let $A(u)$ be the number of different positive integers $kle u$, for which $|F(x,y)|=k$ has at least one solution in integers $x,y$. In this paper, using Mahler's $p$-adic generalisation of the Thue-Siegel theorem, Erdős and Mahler prove that $$liminf_{utoinfty} A(u)u^{-2/n}>0.$$ Reprint of the authors' paper [J. Lond. Math. Soc. 13, 134--139 (1938; Zbl 0018.34401; JFM 64.0116.01)]." @default.
- W4361793017 created "2023-04-05" @default.
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- W4361793017 date "2019-01-01" @default.
- W4361793017 modified "2023-10-18" @default.
- W4361793017 title "Reprint: On the number of integers which can be represented by a binary form (1938)" @default.
- W4361793017 doi "https://doi.org/10.4171/dms/8/27" @default.
- W4361793017 hasPublicationYear "2019" @default.
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