4 citations · 4 across the 3 of their papers we have counts for
7 papers · 1 filter
CM values of higher automorphic Green functions for orthogonal groups
Jan Hendrik Bruinier, Stephan Ehlen, Tonghai Yang
Gross and Zagier conjectured that the CM values (of certain Hecke translates) of the automorphic Green function for the elliptic modular group at positive integral s…
On the modular completion of certain generating functions
Kathrin Bringmann, Stephan Ehlen, Markus Schwagenscheidt
We complete several generating functions to non-holomorphic modular forms in two variables. For instance, we consider the generating function of a natural family of meromorphic mod…
Central -values of elliptic curves and local polynomials
Stephan Ehlen, Pavel Guerzhoy, Ben Kane +1
Here we study the recently introduced notion of a locally harmonic Maass form and its applications to the theory of -functions. In particular, we find finite formulas for certai…
Computing Invariants of the Weil representation
Stephan Ehlen, Nils-Peter Skoruppa
We propose an algorithm for computing bases and dimensions of spaces of invariants of Weil representations of associated to finite quadratic modules. We…
Singular moduli of higher level and special cycles
Stephan Ehlen
We describe the complex multiplication (CM) values of modular functions for whose divisor is given by a linear combination of Heegner divisors in terms of special cycles o…
Vector valued theta functions associated with binary quadratic forms
Stephan Ehlen
We study the space of vector valued theta functions for the Weil representation of a positive definite even lattice of rank two with fundamental discriminant. We work out the relat…