Refining Lagrange's four-square theorem
نویسندگان
چکیده
منابع مشابه
Quarternions and the Four Square Theorem
The Four Square Theorem was proved by Lagrange in 1770: every positive integer is the sum of at most four squares of positive integers, i.e. n = A2 + B2 + C2 + D2, A, B, C, D ∈ Z An interesting proof is presented here based on Hurwitz integers, a subset of quarternions which act like integers in four dimensions and have the prime divisor property. It is analogous to Fermat’s Two Square Theorem,...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2017
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2016.11.008