FOURIER SERIES OF A CLASS OF ETA QUOTIENTS

Abstract

The sum of divisors function σ(m) is defined by [Formula: see text] Let [Formula: see text] denote the upper half of the complex plane. Let η(z)[Formula: see text] be the Dedekind eta function. A class [Formula: see text] of eta quotients is given for which the Fourier series of each member of [Formula: see text] can be given explicitly. One example is [Formula: see text] where [Formula: see text]