Paul Kiefer

collaborators

3 papers

math.NT2025

Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature $(2, n)$

Paul Kiefer

We generalize the notions of locally and polar harmonic Maass forms to general orthogonal groups of signature $(2, n)$ with singularities along real analytic and algebraic cycles.…

math.NT2024

A converse theorem for Borcherds products in signature $(2, 2)$

Patrick Bieker, Paul Kiefer

We show that a modular unit on two copies of the upper half-plane is a Borcherds product if and only if its boundary divisor is a special boundary divisor. Therefore, we define a s…

math.NT2024

Cycle integrals of meromorphic Hilbert modular forms

Claudia Alfes, Baptiste Depouilly, Paul Kiefer +1

We establish a rationality result for linear combinations of traces of cycle integrals of certain meromorphic Hilbert modular forms. These are meromorphic counterparts to the Hilbe…

Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature (2,n)

A converse theorem for Borcherds products in signature (2,2)

Cycle integrals of meromorphic Hilbert modular forms

Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature $(2, n)$

A converse theorem for Borcherds products in signature $(2, 2)$