4
$\begingroup$

Well, it is hard to find a good references on The field of Laurent series on finite fields. Let $F_q$ be any finite field, and denote $F_q((t))$ is the field of Laurent series on $F_q$. Please show me, how to define it, operations, absolute value and prove that its absolute value is non-Archimedian.

Please give me useful links or references. Thanks ~

  • 1
    Have you seen [Formal Laurent series](http://en.wikipedia.org/wiki/Formal_power_series#Formal_Laurent_series)?2011-05-14
  • 1
    @lhf: yes I have, but I need more informations than that.2011-05-14
  • 8
    What are you having trouble with?2011-05-14
  • 1
    We can define the valuation and this valuation is non-Archimedian . Specially Laurent series are local field. What are you looking for?2012-06-07

1 Answers 1