PUMaC 2008 · 数论（B 组） · 第 7 题
PUMaC 2008 — Number Theory (Division B) — Problem 7
题目详情
- (5 points)In this problem, we consider only polynomials with integer coeffients. Call two polynomials 10 + p and q really close if p (2 k + 1) ≡ q (2 k + 1) (mod 2 ) for all k ∈ Z . Call a polynomial p partial credit if no polynomial of lesser degree is really close to it. What is the maximum possible degree of partial credit?
解析
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