
 [No title] 
  Newsgroups: sci.math Subject: Re: "what is a reciprocity law?" Date: Sat, 26 Dec 1998 19:05:49 0000 The law of quadratic reciprocity, proved by Gauss, is fundamental to number theory. 
  The law of quadratic reciprocity states, for p and q distinct odd primes (p/q) = (q/p) unless p == q == 3 (mod 4) in which case (p/q) = (q/p), or, put another way, (p/q)(q/p) = (1)^((p1)(q1)/4). 
  LQR has many, many proofs, using results from supposedly disparate parts of mathematics such as combinatorics, trigonometry, algebra and fluid dynamics. 
 www.math.niu.edu /~rusin/knownmath/98/quadrecip (467 words) 
