||ON THE ASYMPTOTIC FORMULA FOR THE FOURIER COEFFICIENTS OF THE j-FUNCTION
Murty, M RamSampath, Kannappan
Kyushu Journal of Mathematics
91 , 2016-05-19 , Faculty of Mathematics, Kyushu University
We derive the asymptotic formula for the Fourier coefficients of the j-function using an arithmetic formula given by Kaneko based on Zagier's work on the traces of singular moduli. The key ingredient along with the Kaneko–Zagier formula is Laplace's method.