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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: math.uga.edu/~pete/geometryofnumbers.pdf ? There are also several books on the topic and a Wiki page with references too. –  Amzoti Dec 11 '12 at 5:14
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the relevant page: math.uga.edu/~pete/GeometryofNumbers.html –  Will Jagy Dec 11 '12 at 5:30
    
I flagged this for community wiki but please don't make it community wiki I want to accept the notes as an answer. –  user51427 Dec 11 '12 at 5:50

1 Answer 1

up vote 3 down vote accepted

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 lot –  user51427 Dec 11 '12 at 6:25
    
Nice reference, from our own Pete Clark, in fact! –  amWhy May 15 '13 at 0:39
    
Pete's got a really nice collection of notes (all pdf)...check out his page at the above URL, minus the "geometryofnumbers.pdf" –  amWhy May 15 '13 at 1:04

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