Universiteit Utrecht

Mathematisch Instituut



Roelof Bruggeman

Publications

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 cohomology
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 onlinex
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>
June 17, 2020