Hilbert modular and quasimodular forms
Modular forms has been a very popular subject in the last century as they have been used in proving many long standing conjectures. Their variants are also important in many areas such as number theory, algebraic number theory, discrete group theory and hyperbolic geometry. In this paper, the author considers the fact that quasimodular forms being a general case of classical modular forms correspond to finite sequences of modular forms of certain types, and he generalizes this correspondence to Hilbert quasimodular forms. As an application of this new correspondence, the authors constructs Poincaré series for these forms.
scientific article; zbMATH DE number 6862257
scientific article