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math.NT2018
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…
math.NT2018
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…