A remark on Siegel's theorem on algebraic curves.

Autor:	Mahler, K.
Zdroj:	Mathematika; 1955, Vol. 2 Issue 2, p116-127, 12p
Abstrakt:	The main case of Siegel's theorem on algebraic curves may be stated as follows:THEOREM 1. Letbe an irreducible algebraic curve of genus g≥1, ƒ(x, y) being a polynomial with algebraic coefficients. Let K be an algebraic field of finite degree over the rational field; let o be the ring of integers in K; and let j be a positive rational integer. Then there are at most finitely many points (x, y) on ℭ for which jxεο and yεK. [ABSTRACT FROM PUBLISHER]
Databáze:	Complementary Index
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