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19952026
most citedEigenfunctions of transfer operators and cohomology

20 citations · 46 across the 16 of their papers we have counts for

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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.NT2024

Period functions for vector-valued Maass cusp forms of real weight, with an application to Jacobi Maass cusp forms

Anke Pohl, YoungJu Choie, Roelof Bruggeman

For vector-valued Maass cusp forms for~ with real weight~ and spectral parameter , , …

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.NT2019★ 1 cited

Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume

Roelof Bruggeman, Anke Pohl

We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish expli…

math.NT2018

Modular cocycles and cup product

Roelof Bruggeman, YoungJu Choie

We extend to positive real weights Haberland's formula giving a cohomological description of the Petersson scalar product of modular cusp forms of positive even weight. This relati…

math.NT2015★ 7 cited

Multiple period integrals and cohomology

Roelof Bruggeman, YoungJu Choie

This work gives a version of the Eichler-Shimura isomorphism with a non-abelian in group cohomology. Manin has given a map from vectors of cusp forms to a noncommutative coho…