AN ELEMENTARY APPROACH TO (((p-1)/2)((p-1)/4)) modulo p(2)

作者：Pan Hao^*

来源：Taiwanese Journal of Mathematics, 2012, 16(6): 2197-2202.

• Binomial coefficient
• Legendre symbol

We give an elementary proof of the well-known congruence
((p-1/2)(p-1/4)) equivalent to 2(p-1) + 1 /2 (2a - p/2a) (mod p(2)),
where p equivalent to 1 (mod 4) is prime and p = a(2) + b(2) with a equivalent to 1 (mod 4).

• 出版日期2012-12
• 单位南京大学