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

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René SchoofProvides complete proofs of a spectacular recent result in number theory.Accessible to the non-specialist: requires little more than a basic mathematical background and some knowledge of elementary nu

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Huazhu Fu,Mona K. Garvin,Yalin ZhengIn this book, we present Preda Mih?ilescu’s beautiful proof of the conjecture made by Eugène Charles Catalan in 1844 in a letter [11] to the editor of Crelle’s journal.

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Reactions to Cultural OvertourismNonzero solutions to Catalan’s equation . naturally give rise to elements in certain obstruction groups. Mih?ilescu’s theorems can be viewed as results about the size of the submodules generated by these elements. In this section, we introduce the notions and notations that are used in the remaining sections.

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