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A Short Proof of Fermat’s Two-square Theorem
The American Mathematical Monthly ( IF 0.5 ) Pub Date : 2020-07-28 , DOI: 10.1080/00029890.2020.1751559
Northshield Sam 1
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Theorem. If a prime p satisfies p≡1 (mod4) then it is a sum of two squares.Proof. Letting {a, b} denote a multiset (that is, {a,b}={b,a} and {a, a} has two elements a), define S:={{a,b}∈N2: there e...

中文翻译:

费马二平方定理的简短证明

定理。如果素数 p 满足 p≡1 (mod4) 那么它就是两个平方的和。证明。让 {a, b} 表示一个多重集(即 {a,b}={b,a} 和 {a, a} 有两个元素 a),定义 S:={{a,b}∈N2:有电子...
更新日期:2020-07-28
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