olymmath

Putnam 2010 B1

  • Session B

Is there an infinite sequence of real numbers a1,a2,a3,…a_1, a_2, a_3, \dots such that a1m+a2m+a3m+⋯=ma_1^m + a_2^m + a_3^m + \cdots = m for every positive integer mm?

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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