The number of representations of integers by 4-dimensional strongly \(N\)-modular lattices
In this work, the authors proved that a space of cusp forms of weight \(2\) with level \(N\)and real character \(\chi \) has dimension \(1\) if and only if \(\chi \) is trivial and \[ N\in\{11,14,15,17,19,20,21,24,27,32,36,49\} \] and derive bases for spaces of cusp forms of weight \(2\) with trivial character and \[ N\in \{17,19,21,49\}. \] Further they provided formulas for the number of representations of integers by \(4\)-dimensional strongly \(N\)-modular lattices for \[ N\in \{11,14,15,17,19,20,21,24,27,32,36\}. \]
scientific article; zbMATH DE number 7493916
scientific article