Putnam 2023 A5

Session A

For a nonnegative integer $k$ , let $f(k)$ be the number of ones in the base 3 representation of $k$ . Find all complex numbers $z$ such that $\sum_{k=0}^{3^{1010}-1} (-2)^{f(k)} (z+k)^{2023} = 0.$

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

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

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