olymmath

Putnam 2000 B4

  • Session B

Let f(x)f(x) be a continuous function such that f(2x2−1)=2xf(x)f(2x^2-1)=2xf(x) for all xx. Show that f(x)=0f(x)=0 for −1≤x≤1-1\leq x\leq 1.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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