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Large values of modular forms

Published 25 Jul 2012 in math.NT and math.RT | (1207.6134v4)

Abstract: We show that there are primitive holomorphic modular forms f of weight two and arbitrary large level N such that $|f(z)| \gg N{1/4}$ for some point z. Thereby we disprove a folklore conjecture that the sup-norm of such forms would be as small as $N{o(1)}$.

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Authors (1)

  1. Nicolas Templier 

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