Chowla, Sarvadaman


Chowla's cosine problem โ˜…โ˜…โ˜…

Author(s): Chowla

\begin{problem} Let $A \subseteq {\mathbb N}$ be a set of $n$ positive integers and set \[m(A) = - \min_x \sum_{a \in A} \cos(ax).\] What is $m(n) = \min_A m(A)$? \end{problem}

Keywords: circle; cosine polynomial

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