| 书目名称 | Classical Diophantine Equations | | 编辑 | Vladimir G. Sprindžuk,Ross Talent | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | The author had initiated a revision and translation of"Classical Diophantine Equations" prior to his death.Given the rapid advances intranscendence theory anddiophantine approximation over recent years, one might fearthat the present work, originally published in Russian in1982, is mostly superseded. That is not so. A certain amountofupdating had been prepared by the author himself beforehis untimely death. Some further revision was prepared byclose colleagues.The first seven chapters provide a detailed, virtuallyexhaustive, discussion of the theory of lower bounds forlinear forms in the logarithms of algebraic numbers and itsapplications to obtaining upper bounds for solutions to theeponymous classical diophantine equations. The detail mayseem stark--- the author fears that the reader may reactmuch as does the tourist onfirst seeing the centrePompidou; notwithstanding that, Sprind zuk maintainsapleasant and chatty approach, full of wise and interestingremarks. His emphases well warrant, now that the bookappears in English, close studyand emulation. In particularthose emphases allow him to devote the eighthchapter to ananalysis of the interrelationship of the class number ofalgebra | | 出版日期 | Book 1993 | | 关键词 | Algebraic Number Theory; Arithmetic Geometry; Class Number; Diophantine Equation; Diophantine approximat | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0073786 | | isbn_softcover | 978-3-540-57359-3 | | isbn_ebook | 978-3-540-48083-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1993 |
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发表于 2025-3-21 18:21:31
