 Weighted complete Legendre-symbol sum

ID: weighted-complete-legendre-symbol-sum

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

T = \sum_{a = 1}^{p - 1} a (\frac{a}{p})

, one has

T = 0

when

p \equiv 1 (mod 4)

, and

T \equiv 0 (mod p)

for every

p > 3

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