Abstract
AbstractLet
$j_n$
be the modular function obtained by applying the nth Hecke operator on the classical j-invariant. For
$n>m\ge 2$
, we prove that between any two zeros of
$j_m$
on the unit circle of the fundamental domain, there is a zero of
$j_n$
.
Publisher
Canadian Mathematical Society
Cited by
2 articles.
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1. Interlacing of zeros of period polynomials;Journal of the Mathematical Society of Japan;2024-09-04
2. Double interlacing between zeros of modular forms;The Ramanujan Journal;2022-10-18