PUMaC 2025 · 数论(A 组) · 第 6 题
PUMaC 2025 — Number Theory (Division A) — Problem 6
题目详情
- Suppose that complex numbers t for 0 ≤ j ≤ 2025 satisfy j 2025 Y X 2 πia/ 2025 j ( x − e ) = t x . j 0 ≤ a< 2025 j =0 gcd( a, 2025)=1 Find the sum of all j such that t ̸ = 0. j
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