
Number Theory Number Theory Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 14th, 2008, 01:32 PM  #1 
Senior Member Joined: Dec 2008 Posts: 160 Thanks: 0  Sum of reciprocals of distinct squares of integers
In 1963 R,, Graham proved that any rational number between 0 and pi^2/6  1 can be expressed as finite sum of reciprocals of distinct squares of integers. The proof is quite long and not elementary. I am just wandering is there elegant elementary proof for some rational number of specific form, for example in form 1/p or 1p^2? Cheers, 

Tags 
distinct, integers, reciprocals, squares, sum 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Ordered distribution of distinct objects into distinct conta  metamath101  Algebra  2  June 22nd, 2012 04:59 PM 
Sums of integers are squares  eigenein  Number Theory  2  April 5th, 2012 12:54 PM 
Help with integers being sums of squares  MSUmath13  Number Theory  5  April 11th, 2011 09:22 AM 
Lagrange polynomial  excluding other distinct integers  enzo  Real Analysis  2  August 14th, 2009 06:34 PM 
Gaussian Integers and Sums of Two Squares  nooblet  Number Theory  3  March 27th, 2009 06:31 AM 