3 papers
math.NT2023
Automorphic Green functions on Hilbert modular surfaces
Johannes J. Buck
In this paper, we generalize results of Bruinier on automorphic Green functions on Hilbert modular surfaces to arbitrary ideals. For instance, we compute the Fourier expansion of t…
math.NT2023
Elliptic Eisenstein series associated to ideals in real quadratic number fields
Johannes J. Buck
In this paper, we compute for odd fundamental discriminants the Fourier expansion of non-holomorphic elliptic Eisenstein series for with quadratic nebentypus charact…
math.NT2023
Dirichlet series associated to representation numbers of ideals in real quadratic number fields
Johannes J. Buck
In this rather computational paper, we determine certain representation numbers of ideals in real quadratic number fields explicitly in order to obtain a representation of the asso…