Unit Equations in Diophantine Number Theory

Released on by Jan-Hendrik Evertse
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  • Unit Equations in Diophantine Number Theory Book Detail

  • Author : Jan-Hendrik Evertse
  • Release Date : 2015-12-30
  • Publisher : Cambridge University Press
  • Genre : Mathematics
  • Pages : 381
  • ISBN 13 : 1316432351
  • File Size : 16,16 MB
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Unit Equations in Diophantine Number Theory by Jan-Hendrik Evertse PDF Summary

Book Description: Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field.

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Unit Equations in Diophantine Number Theory

Unit Equations in Diophantine Number Theory

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Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This c

Number Theory

Number Theory

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The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, ra