Real zeros of holomorphic Hecke cusp forms

Details Real zeros of holomorphic Hecke cusp forms Real zeros of holomorphic Hecke cusp forms

2011-03-16

arxiv.org/abs/1103.3262v1

Jour. Eur. Math. Soc. (JEMS) Volume 14, Issue 2, 2012

Mathematics

Number Theory

Scientific paper

This note is concerned with the zeros of holomorphic Hecke cusp forms of
large weight on the modular surface. The zeros of such forms are symmetric
about three geodesic segments and we call those zeros that lie on these
segments, real. Our main results give estimates for the number of real zeros as
the weight goes to infinity.

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