Elliptic Curves Seminar: Siegel’s Theorem
نویسنده
چکیده
1.1. Statement of theorems. Siegel’s theorem, in its simplest form, is the fact that a nonsingular elliptic curve contains only finitely many integer-valued points. All versions of this result rely on theorems (of varying strength) in diophantine approximation; thus, in section 1.3, we will sketch a proof of Roth’s Theorem, which is the strongest such result that will be needed. We will then prove two Siegel-type theorems, the first of which is an easy theorem of Thue:
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تاریخ انتشار 2012