olymmath

Putnam 2015 A3

  • Session A

Compute log⁡2(∏a=12015∏b=12015(1+e2πiab/2015))\log_2 \left( \prod_{a=1}^{2015} \prod_{b=1}^{2015} (1+e^{2\pi i a b/2015}) \right) Here ii is the imaginary unit (that is, i2=−1i^2=-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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