Lecture Notes on Diophantine Analysis

Released on by Umberto Zannier
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  • Lecture Notes on Diophantine Analysis Book Detail

  • Author : Umberto Zannier
  • Release Date : 2015-05-05
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 248
  • ISBN 13 : 8876425179
  • File Size : 39,39 MB
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Lecture Notes on Diophantine Analysis by Umberto Zannier PDF Summary

Book Description: These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathematical material and are accessible to many undergraduates. The contents mainly concern diophantine problems on affine curves, in practice describing the integer solutions of equations in two variables. This case historically suggested some major ideas for more general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's celebrated results are proved in full detail. In later chapters more modern issues on heights of algebraic points are dealt with, and applied to a sharp quantitative treatment of the unit equation. The book also contains several supplements, hinted exercises and an appendix on recent work on heights.

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Lecture Notes on Diophantine Analysis

Lecture Notes on Diophantine Analysis

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These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathem

Diophantine Analysis

Diophantine Analysis

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Total View : 5217 Views
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This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well a