5 citations · 13 across the 7 of their papers we have counts for
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An adelic approach to the Kudla-Millson lifts over totally real number fields
Yingkun Li, Mingkuan Zhang, Riccardo Zuffetti
We compute the Fourier expansions of the Kudla-Millson theta lifts of vector-valued Hilbert cusp forms of parallel weight. These expansions are with respect to 0-dimensional cusps…
The Siegel-Weil formula in geometry and arithmetic
Jan Hendrik Bruinier, Riccardo Zuffetti
The present paper is an extended version of the lecture notes of a course given by the first author at the summer school on Formulas of Siegel and Weil (Bielefeld, September 2025).…
Lefschetz decompositions of Kudla-Millson theta functions
Jan Hendrik Bruinier, Riccardo Zuffetti
In the 1980's Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential f…
Injectivity of the genus 1 Kudla-Millson lift on locally symmetric spaces
Ingmar Metzler, Riccardo Zuffetti
Let be an even indefinite lattice. We show that if splits off a hyperbolic plane and a scaled hyperbolic plane, then the Kudla-Millson lift of genus associated to i…
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…
Unfolding and injectivity of the Kudla-Millson lift of genus 1
Riccardo Zuffetti
We unfold the theta integrals defining the Kudla-Millson lift of genus 1 associated to even lattices of signature (b,2), where b>2. This enables us to compute the Fourier expansion…