On the asymptotic distribution of zeros of modular forms

Details On the asymptotic distribution of zeros of modular forms On the asymptotic distribution of zeros of modular forms

2005-06-14

arxiv.org/abs/math/0506267v1

Mathematics

Number Theory

Scientific paper

We study the distribution of zeros of holomorphic modular forms. Assuming the
Generalized Riemann Hypothesis we show that the zeros of Hecke eigenforms for
the modular group become equidistributed with respect to the hyperbolic measure
on the modular domain as the weight grows.

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