On elliptic cusp forms of weight \(g\geq 2\) (Q2367471)

The author investigates elliptic modular forms of weight \(g\) on the principal congruence subgroup of level \(q\). If \(qg=12\) and \(\eta(z)\) denotes the Dedekind eta-function, then \(\eta^{2g}(z)\) turns out to be a cusp form without multipliers. Weierstraß points of elliptic modular forms are discussed. Then Poincaré series with Hecke summation are investigated. They lead to cusp forms, whose Fourier expansions can be calculated. Finally the Petersson metrization theory is reviewed.