Publication year: 2012 Source: Journal of Number Theory, Volume 132, Issue 1, January 2012, Pages 258-274 Alexander Berkovich, William C. Jagy Letbe the number of representations ofnas the sum of three squares. We prove a remarkable new identity forwithpbeing an odd prime. This identity makes nontrivial use of ternary quadratic forms with discriminants,.
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On representation of an integer as the sum of three squares and ternary quadratic forms with the discriminants,