http://openproblemgarden.org/op/chowlas_cosine_problem Comments for "Chowla's cosine problem" en http://openproblemgarden.org/op/chowlas_cosine_problem <table cellspacing="10"> <tr> <td> Author(s): <a href="/category/chowla_sarvadaman">Chowla</a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/number_theory_0">Number Theory</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Problem</b>&nbsp;&nbsp; Let <img class="teximage" src="/files/tex/3a2ce13a64185e2c0a27b7a483fffe31c5f4cf90.png" alt="$ A \subseteq {\mathbb N} $" /> be a set of <img class="teximage" src="/files/tex/ec63d7020a64c039d5f6703b8fa3ab7393358b5b.png" alt="$ n $" /> positive integers and set <img class="teximage" src="/files/tex/7a772ebd0b7fd98eeab7fda3a5e9674b1dc4c984.png" alt="\[m(A) = - \min_x \sum_{a \in A} \cos(ax).\]" /> What is <img class="teximage" src="/files/tex/3b9f143a855fc92ec6ba0d2587092707becb5aa9.png" alt="$ m(n) = \min_A m(A) $" />? </div> </tr></td> </table> </td> </tr> </table> Chowla, Sarvadaman circle cosine polynomial Number Theory http://openproblemgarden.org/op/chowlas_cosine_problem#comment Fri, 22 Feb 2008 11:17:23 +0100 mdevos 739 at http://openproblemgarden.org