The asymptotic distribution of traces of cycle integrals of the $j$-function
Riad Masri
Source: Duke Math. J. Volume 161, Number 10
(2012), 1971-2000.
Abstract
We establish an asymptotic formula with a power savings in the error term for traces of cycle integrals of the classical modular $j$-function
\[j(z)=q^{-1}+744+196884q+21493760q^{2}+\cdots.\]
This implies a conjecture of Duke, Imamoḡlu, and Tóth.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1340801629
Digital Object Identifier: doi:10.1215/00127094-1645711
Zentralblatt MATH identifier: 06063226
Mathematical Reviews number (MathSciNet): MR2954622
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