Bruggeman, Roelof W.; Miatello, Roberto J. Representations of \(\mathrm{SU}(2,1)\) in Fourier term modules. (English) Zbl 07784628 Lecture Notes in Mathematics 2340. Cham: Springer (ISBN 978-3-031-43191-3/pbk; 978-3-031-43192-0/ebook). xi, 210 p. (2023). MSC: 11F30 11-02 PDFBibTeX XMLCite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, Representations of \(\mathrm{SU}(2,1)\) in Fourier term modules. Cham: Springer (2023; Zbl 07784628) Full Text: DOI
Bruggeman, Roelof W.; Miatello, Roberto J. Generalized Poincaré series for \(\mathrm{SU}(2,1)\). arXiv:2106.14200 Preprint, arXiv:2106.14200 [math.NT] (2021). MSC: 11F70 11F55 22E30 BibTeX Cite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, ``Generalized Poincar\'e series for $\mathrm{SU}(2,1)$'', Preprint, arXiv:2106.14200 [math.NT] (2021) Full Text: arXiv OA License
Bruggeman, Roelof W.; Miatello, Roberto J. Representations of the unitary group SU(2,1) in Fourier term modules. arXiv:1912.01334 Preprint, arXiv:1912.01334 [math.RT] (2019). MSC: 11F70 11F55 22E30 BibTeX Cite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, ``Representations of the unitary group SU(2,1) in Fourier term modules'', Preprint, arXiv:1912.01334 [math.RT] (2019) Full Text: DOI arXiv OA License
Bruggeman, Roelof W.; Miatello, Roberto J. Eigenvalues of Hecke operators on Hilbert modular groups. (English) Zbl 1286.11068 Asian J. Math. 17, No. 4, 729-758 (2013). MSC: 11F41 11F60 11F72 22E30 PDFBibTeX XMLCite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, Asian J. Math. 17, No. 4, 729--758 (2013; Zbl 1286.11068) Full Text: DOI arXiv
Bruggeman, Roelof Wichert; Grunewald, Fritz; Miatello, Roberto Jorge New lattice point asymptotics for products of upper half-planes. (English) Zbl 1315.11040 Int. Math. Res. Not. 2011, No. 7, 1510-1559 (2011). Reviewer: Joshua Friedman (Plainview) MSC: 11F72 11M36 PDFBibTeX XMLCite \textit{R. W. Bruggeman} et al., Int. Math. Res. Not. 2011, No. 7, 1510--1559 (2011; Zbl 1315.11040) Full Text: DOI arXiv
Bruggeman, Roelof W.; Miatello, Roberto J. Density results for automorphic forms on Hilbert modular groups. II. (English) Zbl 1219.11072 Trans. Am. Math. Soc. 362, No. 7, 3841-3881 (2010). Reviewer: Anne-Marie Aubert (Paris) MSC: 11F41 11F72 22E30 11F30 PDFBibTeX XMLCite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, Trans. Am. Math. Soc. 362, No. 7, 3841--3881 (2010; Zbl 1219.11072) Full Text: DOI arXiv
Bruggeman, Roelof W.; Miatello, Roberto J. Sum formula for \(\text{SL}_2\) over a totally real number field. (English) Zbl 1230.11066 Mem. Am. Math. Soc. 919, 81 p. (2009). Reviewer: Zhengyu Mao (Newark) MSC: 11F72 11F30 11F41 11L05 PDFBibTeX XMLCite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, Sum formula for \(\text{SL}_2\) over a totally real number field. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1230.11066) Full Text: DOI
Bruggeman, Roelof W.; Miatello, Roberto J. Distribution of square integrable automorphic forms on Hilbert modular groups. (English) Zbl 1228.11072 Ji, Lizhen (ed.) et al., Geometry, analysis and topology of discrete groups. Selected papers of the conference on geometry, topology and analysis of locally symmetric spaces and discrete groups, Beijing, China, July 17–August 4, 2006. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-126-1/hbk). Advanced Lectures in Mathematics (ALM) 6, 19-39 (2008). MSC: 11F72 11F30 11F41 11F70 22E30 PDFBibTeX XMLCite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, Adv. Lect. Math. (ALM) 6, 19--39 (2008; Zbl 1228.11072)
Bruggeman, R. W.; Miatello, R. J.; Pacharoni, I. Density results for automorphic forms on Hilbert modular groups. (English) Zbl 1057.11028 Geom. Funct. Anal. 13, No. 4, 681-719 (2003). Reviewer: Anne Marie Aubert (Paris) MSC: 11F41 11F70 PDFBibTeX XMLCite \textit{R. W. Bruggeman} et al., Geom. Funct. Anal. 13, No. 4, 681--719 (2003; Zbl 1057.11028) Full Text: DOI arXiv
Bruggeman, R. W.; Miatello, R. J.; Pacharoni, I. Sums of Kloosterman sums for real quadratic number fields. (English) Zbl 1125.11045 J. Number Theory 99, No. 1, 90-119 (2003). MSC: 11L05 PDFBibTeX XMLCite \textit{R. W. Bruggeman} et al., J. Number Theory 99, No. 1, 90--119 (2003; Zbl 1125.11045) Full Text: DOI
Bruggeman, R. W.; Miatello, R. J.; Pacharoni, I. Estimates for Kloosterman sums for totally real number fields. (English) Zbl 0970.11032 J. Reine Angew. Math. 535, 103-164 (2001). Reviewer: R.W.Bruggeman (Utrecht) MSC: 11L05 11F11 11F72 22E46 PDFBibTeX XMLCite \textit{R. W. Bruggeman} et al., J. Reine Angew. Math. 535, 103--164 (2001; Zbl 0970.11032) Full Text: DOI Link
Bruggeman, R. W.; Miatello, R. J.; Wallach, N. R. Resolvent and lattice points on symmetric spaces of strictly negative curvature. (English) Zbl 0972.11094 Math. Ann. 315, No. 4, 617-639 (1999). Reviewer: Jürgen Elstrodt (Münster) MSC: 11P21 53C35 58J50 58C40 22E40 PDFBibTeX XMLCite \textit{R. W. Bruggeman} et al., Math. Ann. 315, No. 4, 617--639 (1999; Zbl 0972.11094) Full Text: DOI
Bruggeman, R. W.; Miatello, R. J. Sum formula for \(SL_2\) over a number field and Selberg type estimates for exceptional eigenvalues. (English) Zbl 0924.11039 Geom. Funct. Anal. 8, No. 4, 627-655 (1998). Reviewer: J.Elstrodt (Münster) MSC: 11F72 11L05 11F55 PDFBibTeX XMLCite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, Geom. Funct. Anal. 8, No. 4, 627--655 (1998; Zbl 0924.11039) Full Text: DOI
Bruggeman, R. W.; Miatello, R. J. Estimates of Kloosterman sums for groups of real rank one. (English) Zbl 0866.11049 Duke Math. J. 80, No. 1, 105-137 (1995). Reviewer: Roland Matthes (Kassel) MSC: 11L05 11F11 11F06 PDFBibTeX XMLCite \textit{R. W. Bruggeman} and \textit{R. J. Miatello}, Duke Math. J. 80, No. 1, 105--137 (1995; Zbl 0866.11049) Full Text: DOI