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What are the applications of Geometry of Numbers? I think it proves the following things:

  • Fermat's Christmas Theorem
  • Lagrange 4-square Theorem
  • Finiteness of Class Group
  • Dirichlet's Unit Theorem

would love to hear about more.

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    Have you reviewed this: http://math.uga.edu/~pete/geometryofnumbers.pdf ? There are also several books on the topic and a Wiki page with references too.2012-12-11
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    the relevant page: http://math.uga.edu/~pete/GeometryofNumbers.html2012-12-11
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    I flagged this for community wiki but please don't make it community wiki I want to accept the notes as an answer.2012-12-11

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Have you reviewed this: http://math.uga.edu/~pete/geometryofnumbers.pdf ?

There are also several books on the topic and a Wiki page with references too.

-A

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    really wonderful thanks a lot2012-12-11
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    Nice reference, from our own Pete Clark, in fact!2013-05-15
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    Pete's got a really nice collection of notes (all pdf)...check out his page at the above URL, minus the "geometryofnumbers.pdf"2013-05-15