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20012026
most citedSpectra of lens spaces from 1-norm spectra of congruence lattices

14 citations · 47 across the 20 of their papers we have counts for

collaborators

20 papers

math.NT2026

Cusp forms and parabolic cohomology classes for symmetric spaces of rank one

Roelof Bruggeman, YoungJu Choie, Roberto Miatello +1

For any rank-one Riemannian symmetric space S of non-compact type and any discrete, cofinite, non-cocompact, torsion-free group of orientation-preserving Riemannian isometries…

math.NT2021

Generalized Poincaré series for

Roelof W. Bruggeman, Roberto J. Miatello

We define and study 'non-abelian' Poincaré series for the group , i.e. Poincaré series attached to a Stone-Von Neumann representation of the unipotent subgroup…

math.NT2020

Joint distribution of eigenvalues of Hecke and Casimir operators for Hilbert Maass forms

Roberto J. Miatello, Angel D. Villanueva

Let be a totally real number field, the ring of integers, and integral ideals and let a character of $\mathbb{A}_F^\times/F^\t…

math.RT2019★ 2 cited

Representations of the unitary group SU(2,1) in Fourier term modules

Roelof W. Bruggeman, Roberto J. Miatello

We study Fourier term modules on , which are the modules arising in Fourier expansions of automorphic forms. Maximal unipotent subgroups of …

math.DG2019★ 2 cited

Recent results on the spectra of lens spaces

Emilio A. Lauret, Roberto J. Miatello, Juan Pablo Rossetti

In this paper we report on recent results by several authors, on the spectral theory of lens spaces and orbifolds and similar locally symmetric spaces of rank one. Most of these re…

math.NT2018★ 1 cited

Sums of squares in real quadratic fields and Hilbert modular groups

Fernando Chamizo, Roberto J. Miatello

We use the spectral theory of Hilbert-Maass forms for real quadratic fields to obtain the asymptotics of some sums involving the number of representations as a sum of two squares i…