Departmental Bulletin Paper ON THE ASYMPTOTIC FORMULA FOR THE FOURIER COEFFICIENTS OF THE j-FUNCTION

Murty, M Ram

70 ( 1 )  , pp.83 - 91 , 2016-05-19 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
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.

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