2 papers
math.NT2024
A converse theorem for Borcherds products in signature
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.NT2023
The Kudla-Millson lift of Siegel cusp forms
Paul Kiefer, Riccardo Zuffetti
We study the injectivity of the Kudla-Millson lift of genus 2 Siegel cusp forms, vector-valued with respect to the Weil representation associated to an even lattice L. We prove tha…