20071026, 18:38  #1 
Oct 2007
3_{16} Posts 
Representation of integer as sum of squares
Is there a formula that gives the number of representations of n as a sum four squares? Any help would be more than appreciated.

20071027, 09:22  #2 
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}·3·641 Posts 
If you haven't already seen it, let me introduce you to The OnLine Encyclopedia of Integer Sequences (OEIS) at http://www.research.att.com/~njas/sequences/. (If you have seen it, did you know you could use its search function on words, not just numbers?) Try OEIS search on "sum four squares".
Last fiddled with by cheesehead on 20071027 at 09:25 
20071027, 10:26  #3 
Oct 2007
3 Posts 
The encyclopedia
I have seen this encyclopedia, moreover I have searched it.
It doesn't contain the sequence that I want and for many of the sequences it does not contain it's formula 
20071027, 22:10  #4  
"Robert Gerbicz"
Oct 2005
Hungary
3×11×43 Posts 
Quote:
See: http://mathworld.wolfram.com/SumofSquaresFunction.html 

20071029, 17:53  #5  
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}·3·641 Posts 
Quote:
http://www.research.att.com/~njas/sequences/A000118 "Number of ways of writing n as a sum of 4 squares" which looks like "number of representations of n as a sum four squares". Among the several given formulas seems (to me) to be one equivalent to what R. Gerbicz quoted above. If A000118 (1,8,24,32,24,48,96,64,24,104,144,96,96,112,...) isn't what you want, can you list a few specific values of what you seek? Last fiddled with by cheesehead on 20071029 at 18:26 Reason: Quoted terms from A000118 

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