olymmath

Putnam 2014 B4

  • Session B

Show that for each positive integer nn, all the roots of the polynomial ∑k=0n2k(n−k)xk\sum_{k=0}^n 2^{k(n-k)} x^k are real numbers.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by 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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