Titlebook: Catalan‘s Conjecture; René Schoof Textbook 2008 Springer-Verlag London 2008 Algebra.Arithmetic.Catalan‘s conjecture.algebraic number theor

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Comprise

Elisabeth Wilson-Evered,John ZeleznikowIn this chapter and chapter 14, we prove Theorem II of chapter 1. There are two main ingredients: the Runge method, exploited here, and Thaine’s theorem, which is used in chapter 14.

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暂时中止

https://doi.org/10.1007/978-3-030-64915-9In this chapter we prove an important special case of Thaine’s theorem [48].

Ornithologist

Introduction,In this book, we present Preda Mihăilescu’s beautiful proof of the conjecture made by Eugène Charles Catalan in 1844 in a letter [11] to the editor of Crelle’s journal.

长处

,The Case “, = 2”,The proof is by a 2-adic argument [27]. It exploits the arithmetic of the ring of Gaussian integers .. See Exercise 2.2.

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