Ingmar Metzler

collaborators

3 papers

math.NT2025

Symmetric square type $L$ -series

Ingmar Metzler

We construct symmetric square type $L$ -series for vector-valued modular forms transforming under the Weil representation associated to a discriminant form. We study Hecke operators…

math.NT2025

A new converse theorem for Borcherds products

Ingmar Metzler

We establish a new converse theorem for Borcherds products. Moreover, the injectivity of the Kudla-Millson theta lift is demonstrated in the O $(n, 2)$ case in greater generality tha…

math.NT2025

Injectivity of the genus 1 Kudla-Millson lift on locally symmetric spaces

Ingmar Metzler, Riccardo Zuffetti

Let $L$ be an even indefinite lattice. We show that if $L$ splits off a hyperbolic plane and a scaled hyperbolic plane, then the Kudla-Millson lift of genus $1$ associated to $L$ i…

Symmetric square type L-series

A new converse theorem for Borcherds products

Injectivity of the genus 1 Kudla-Millson lift on locally symmetric spaces

Symmetric square type $L$ -series