Publications
2023
- Roelof Bruggeman, Roberto Miatello
- Representations of SU(2,1) in Fourier term modules
- Lecture Notes in Mathematics 2340
- Springer 2023,
Springer link
- Accompanying Mathematica notebook
- Some corrections
- Roelof Bruggeman, Anke Pohl
- Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume
- Memoirs AMS, volume 287, number 1423, 2023
- doi.org/10.1090/memo/1423
2019
- Roelof Bruggeman, Youngju Choie
- Modular cocycles and cup product
- Adv. in Mathematics 351 (2019) 296-342
-
DOI: 10.1016/j.aim.2019.05.008
2018
- Roelof Bruggeman, Ferdinand Verhulst
-
Near-Integrability and Recurrence in FPU Chains with
Alternating Masses
- Journal of Non-linear Science, 29.1 (2019) 183-206
-
Online first - June 2018
- doi
10.1007/s00332-018-9482-x
- Roelof Bruggeman, YoungJu Choie, Nikolaos Diamantis
-
Holomorphic Automorphic Forms and Cohomology
- Memoirs AMS, Volume 253,
Number 1212, 2018
-
doi.org/10.1090/memo/1212
- Roelof Bruggeman
- Holomorphic
modular forms and cocycles
- Research in Mathematical Sciences
(2018) 5:5
-
doi.org/10.1007/s40687-018-0128-2
2017
- Roelof Bruggeman, Ferdinand Verhulst
- Dynamics of a chain with four particles,
alternating masses and nearest-neighbor interaction
-
- in Recent Trends in Applied Nonlinear Mechanics and
Physics, ed. M. Belhaq,
Springer Proceedings in Physics 199 (2017) 103-120
-
doi.org/10.1007/978-3-319-63937-6
pdf
- Roelof Bruggeman, Ferdinand Verhulst
- The inhomogeneous Fermi-Pasta-Ulam
chain, a case study of the 1:2:3 resonance
- Acta Applicandae Mathematicae 152.1 (2017) 111-145
-
doi.org/10.1007/s10440-017-0115-4
2016
- Roelof W. Bruggeman, YoungJu Choie
- Multiple period integrals and
cohomologyop_MI/www/notes/corr-rFtm/
- Algebra & Number Theory 10-(3) (2016),
645-664
-
doi:10.2140/ant.2016.10.645
- Roelof Bruggeman, Nikolaos Diamantis
- Fourier coefficients of Eisenstein
series formed with modular symbols and their
spectral decomposition
- J. Number Theory 167 (2016) 317-335
- published online May 2016
doi:10.1016/j.jnt.2016.03.009
2015
- R.Bruggeman, J.Lewis,
D.Zagier
- Period functions for Maass wave forms
and cohomology
-
Memoirs AMS vol 237,
no 1118, September 2015
- 2015,
published online
- corrections
- pdf, corrections
included
2014
- Roelof Bruggeman
- Harmonic lifts of modular forms
- Ramanujan Journal 33 (2014) 55-82
- DOI: 10.1007/s11139-013-9469-z
- pdf
2013
- R.Bruggeman, J.Lewis and D.Zagier
- Function theory related to the group
PSL2(R)
- p. 107-201 in
From Fourier Analysis and Number Theory
to Radon Transforms and Geometry,
- In memory of Leon Ehrenpreis
- ed. H.M. Farkas, R.C. Gunning, M.
Knopp, B.A. Taylor
- Developments in Mathematics 28,
Springer-Verlag, 2013
- pdf
- corrections
- Roelof Bruggeman, Markus
Fraczek, Dieter Mayer
- Perturbation of zeros of the Selberg
zeta-function for Gamma0(4)
- Experimental Mathematics, 22(3) (2013)
217-242
- DOI: 10.1080/10586458.2013.776381
link
- Note on Section
3
- Roelof W. Bruggeman, Roberto J. Miatello
- Eigenvalues of Hecke operators on
Hilbert modular groups
- Asian J. Math, 17 (4) (2013) 729-758
-
Online version
2012
- Roelof Bruggeman, Nikolaos Diamantis
- Higher-order
Maass forms
- Algebra & Number Theory 6-7 (2012),
1409-1458.
- Publisher pdf
2010
- R.W.Bruggeman; F.Grunewald; R.J.Miatello
- New Lattice Point Asymptotics for
Products of Upper Half-planes
- International Mathematics Research Notices
2010
- doi: 10.1093/imrn/rnq120
- pdf
- R.W.Bruggeman, R.J.Miatello
- Density results for automorphic forms
on Hilbert modular groups II
- Transactions
AMS 362 (2010) 3841-3881
- pdf
2009
- R.W.Bruggeman, R.J.Miatello
- Sum formula for SL2 over a
totally real number field
- Memoirs AMS vol 197, no 919, January 2009
2008
- R.W.Bruggeman, T.Mühlenbruch
- Eigenfunctions of transfer operators
and cohomology
-
Journal of Number Theory 129 (2009)
158-181
- pdf
2007
- R.W.Bruggeman
- Quantum Maass
forms
- p. 1-15 in
The conference on L-functions, Fukuoka,
Japan 18 - 23 February 2006,
- ed. Lin Weng & Masanobu Kaneko;
- World Scientific, 2007
- pdf
notes
2005
- R.W.Bruggeman, Y.Motohashi
- A new approach to the spectral theory
of the fourth moment of the Riemann
zeta-function
- J. reine angew. Math. 579 (2005)
75-114
scan
2003
- R.W.Bruggeman, Y.Motohashi
- Sum formula for Kloosterman sums and
fourth moment of the Dedekind zeta-function
over the Gaussian number field
- Functiones et Approximatio, XXXI
(2003) 23-92
pdf
- R.W.Bruggeman, R.J.Miatello, I.Pacharoni
- Density results for automorphic forms
on Hilbert modular groups
- Geometric and Functional Analysis 13
(2003) 681-719
pdf
- R.W.Bruggeman, R.J.Miatello, I.Pacharoni
- Sums of Kloosterman sums for real
quadratic number fields
- Journal of Number Theory 99 (2003)
90-119
pdf
2002
- R.W.Bruggeman, Y.Motohashi
- A note on the mean value of the zeta and
L-functions. XIII
- Proc. Japan Acad. 78, Ser. A, No. 6
(2002)
pdf
2001
- R.W.Bruggeman, R.J.Miatello, I.Pacharoni
- Estimates for Kloosterman sums for
totally real number fields
J. reine angew. Math. 535 (2001) 103-164
scan
- R.W.Bruggeman, Y.Motohashi
- A note on the mean value of the zeta and
L-functions. X
- Proc. Japan Acad. 77, Ser.A, No 7
(2001)
pdf
- R.W.Bruggeman, Y.Motohashi
- Fourth Power Moment of Dedekind
Zeta-Functions of Real Quadratic Number
Fields with Class Number One
- Functiones et Approximatio 29
(2001), 41-79
pdf
1999
- R.W.Bruggeman, R.J.Miatello, N.R.Wallach
- Resolvent and lattice points on symmetric
spaces of strictly negative curvature
Math. Ann. 315 (1999) 617-639
pdf
- R.W.Bruggeman
- Kloosterman sums for the modular
group
p. 651 - 674 in Number Theory in
Progress, Proceedings of the
International Conference on Number Theory
organized by the Stefan Banach International
Mathematical Center in Honor of the 60th
Birthday of Andrzej Schinzel, Zakopane,
Poland, June 30 - July 9, 1997; ed.
K.Györy, H.Iwaniec, J.Urbanowicz; publ.
W. de Gruyter, Berlin, 1999
pdf
1998
- R.W.Bruggeman & R.J.Miatello
- Sum formula for SL(2) over a number field
and Selberg type estimate for exceptional
eigenvalues
Geometric And Functional Analysis 8
(1998) 627-655
pdf
1997
- R.W.Bruggeman
- Automorphic forms, hyperfunction
cohomology, and period functions
Journal für die reine und angewandte
Mathematik 492 (1997) 1 - 39
pdf
1996
- R.W.Bruggeman
- Estimates for Kloosterman sums for
non-uniform lattices in PSL(2,C)
Tagung "Hyperbolic Lattices in Dimension
3", Bielefeld, July 1-5, 1996;
Ergänzungsreihe 96-006,
Sonderforschungsbereich 343, Diskrete
Strukturen in der Mathematik, Bielefeld
1995
- R.W.Bruggeman
- Dedekind sums for Hecke groups
Acta Arithmetica LXXI (1995) 11-46
pdf
- R.W.Bruggeman & R.J.Miatello
- Estimates of Kloosterman sums for groups
of real rank one
Duke Mathematical Journal 80 (1995)
105-137
scan
- R.W.Bruggeman
- Families of automorphic forms
Trabajos de Matemática 29/95; ed.
Fernando Levstein & Carlos Olmos; Facultad
de Matemática Astronomía y
Física, Universidad Nacional de
Córdoba
(Lecture notes of a course given at
Córdoba, Argentina, October-November
1995)
scan
1994
- R.W.Bruggeman
- Families of Automorphic
Forms
Monographs in Mathematics 88;
Birkhäuser Verlag, 1994
corrections
- R.W.Bruggeman
- On the distribution of Dedekind sums
in Contemp. Math. 166, Amer. Math. Soc.
(1994) 197-210
(Lecture at the Rademacher centennial
Conference, 1992)
scan
1990
- R.W.Bruggeman
- Dedekind sums and Fourier coefficients of
modular forms
J. Number Theory 36 (1990) 289-321
pdf
- R.W.Bruggeman
- On the distribution of Dedekind sums
82-89 in Proc. Int. Conf. Automorphic
Functions and their Applications,
Khabarovsk, 1988, ed. N.Kuznetsov
& V.Bykovsky; Inst. Appl. Math. USSR, Ac.
Sciences, Khabarovsk, 1990
scan
1989
- R.W.Bruggeman
- Eisenstein Series and the Distribution of
Dedekind Sums
Math. Z. 202 (1989) 181-198
scan
1986
- R.W.Bruggeman
- Modular Forms of Varying Weight, II
Math. Z. 192 (1986) 297-328
scan
- R.W.Bruggeman
- Modular Forms of Varying Weight, III
J. für die reine und angew. Math.
371 (1986) 144-190
scan
1985
- R.W.Bruggeman
- Modular Forms of Varying Weight, I
Math. Z. 190 (1985) 477-495
scan
- R.W.Bruggeman
- Automorphic Forms
31-74 in Elementary and Analytic Theory
of Numbers; ed. H.Iwaniec, Banach Center
Publications 17, Warszawa, 1985
(Series of lectures at the Banach
International Center at Warsaw, September
1982)
link
1981
- R.W.Bruggeman
- Fourier Coefficients of Automorphic Forms
Lecture Notes in Math. 865, Springer
Verlag, 1981
1978
- R.W.Bruggeman
- Fourier coefficients of cusp forms
Inventiones math. 45 (1978) 1-18
pdf
Roelof
Bruggeman
<R.W.Bruggeman te uu.nl>
November 11, 2023