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Dr. R.W. (Roelof) Bruggeman

Associate Professor 
Science
Mathematics
Mathematical Institute
Mathematical Institute
 
Science
Mathematics
Mathematical Institute
Fundamental Mathematics
Fundamental Mathematics
Hans Freudenthalgebouw
Budapestlaan 6
Kamer 612
3584 CD Utrecht

Dr. R.W. (Roelof) Bruggeman

Associate Professor
Mathematical Institute
Fundamental Mathematics
+31 30 253 3749
r.w.bruggeman@uu.nl
Profile Publications Activities Contact
Profile Publications Activities Contact

Publications

2019

Scholarly publications

Bruggeman, R., & Pohl, A. (2019). Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume.
Bruggeman, R., & Verhulst, F. (2019). Near-Integrability and Recurrence in FPU Chains with Alternating Masses. Journal of Nonlinear Science, 29(1), 183-206. https://doi.org/10.1007/s00332-018-9482-x
Bruggeman, R. W., & Choie, Y. (2019). Modular cocycles and cup product. Advances in Mathematics, 351, 296-342. https://doi.org/10.1016/j.aim.2019.05.008

2018

Scholarly publications

Bruggeman, R. W. (2018). Holomorphic modular forms and cocycles. Research in the Mathematical Sciences, 5, [5].
https://dspace.library.uu.nl/bitstream/handle/1874/363310/bruggeman.pdf?sequence=1
Bruggeman, R. W., Choie, Y., & Diamantis, N. (2018). Holomorphic automorphic forms and cohomology. Memoirs of the American Mathematical Society, 253, i-viii, 1-167. [1212]. https://doi.org/10.1090/memo/1212
https://dspace.library.uu.nl/bitstream/handle/1874/363308/caf_May19.pdf?sequence=2

2017

Scholarly publications

Bruggeman, R. W., & Verhulst, F. (2017). Dynamics of a chain with four particles, alternating masses and nearest neighbor interaction. In M. Belhaq (Ed.), Springer Proceedings in Physics: Recent trends in applied nonlinear mechanics and physics (pp. 103-120). (Springer Proceedings in Physics; Vol. 199). Springer. https://doi.org/10.1007/978-3-319-63937-6_5
Bruggeman, R. W., & Verhulst, F. (2017). The inhomogeneous Fermi-Pasta-Ulam chain, a case study of the 1:2:3 resonance. Acta Applicandae Mathematicae, 152, 111-145. https://doi.org/10.1007/s10440-017-0115-4
https://dspace.library.uu.nl/bitstream/handle/1874/356706/Resonance.pdf?sequence=1

2016

Scholarly publications

Bruggeman, R. W., & Choie, Y. (2016). Multiple period integrals and cohomology. Algebra Number Theory, 10(3), 645-664. https://doi.org/10.2140/ant.2016.10.645
Bruggeman, R. W., & Diamantis, N. (2016). Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition. Journal of Number Theory, 167(October 2016), 317-335. https://doi.org/10.1016/j.jnt.2016.03.009

2015

Scholarly publications

Lewis, J., Zagier, D., & Bruggeman, R. (2015). Period functions for Maass wave forms and cohomology. Memoirs of the American Mathematical Society, 237(1118). https://doi.org/10.1090/memo/1118

2013

Scholarly publications

Miatello, R. J., & Bruggeman, R. (2013). Eigenvalues of Hecke operators on Hilbert modular groups. Asian Journal of Mathematics, 17, 729-758. http://intlpress.com/site/pub/pages/journals/items/ajm/content/vols/0017/0004/a010/index.html
Mayer, D., Fraczek, M., & Bruggeman, R. (2013). Perturbation of zeros of the Selberg zeta-function for Gamma_0(4). Experimental Mathematics, 22(3), 217-242. https://doi.org/10.1080/10586458.2013.776381
Bruggeman, R. (2013). Harmonic lifts of modular forms. The Ramanujan Journal, 33(1), 55-82. https://doi.org/10.1007/s11139-013-9469-z

2012

Scholarly publications

Bruggeman, R. W., & Diamantis, N. (2012). Higher-order Maass forms. Algebra Number Theory, 6-7, 1409-1458. https://doi.org/10.2140/ant.2012.6.1409
Bruggeman, R. W., Lewis, J., & Zagier, D. (2012). Function theory related to the group PSL2(R). In M. Farkas (Ed.), From fourier analysis and number theory to radon transforms and geometry : in memory of Leon Ehrenpreis (pp. 107-201). (Developments in mathematics; No. 28). Springer.

2011

Scholarly publications

Bruggeman, R. W., Grunewald, F., & Miatello, R. J. (2011). New Lattice Point Asymptotics for Products of Upper Half-planes. International Mathematics Research Notices, 2011(7), 1510-1559. https://doi.org/10.1093/imrn/rnq120

2010

Scholarly publications

Bruggeman, R. W., & Miatello, R. J. (2010). Density results for automorphic forms on Hilbert modular groups II. Transactions of the American Mathematical Society, 362(7), 3841-3881.
https://dspace.library.uu.nl/bitstream/handle/1874/200249/Densityresults_Bruggeman_2010.pdf?sequence=1

2009

Scholarly publications

Bruggeman, R. W., & Mühlenbruch, T. (2009). Eigenfuncties of transfer operators and cohomology. Journal of Number Theory, 129(1), 158-181. https://doi.org/10.1016/j.jnt.2008.08.003
Bruggeman, R. W., & Miatello, R. J. (2009). Sum formula for SL2 over a totally real number field. Memoirs of the American Mathematical Society, 919.

2006

Scholarly publications

Bruggeman, R. W. (2006). Quantum Maass forms. In L. Weng, & M. Kaneko (Eds.), The conference on L-functions (pp. 1-15). World Scienctific. https://doi.org/10.1142/9789812772398_0001

2005

Scholarly publications

Bruggeman, R. W., & Motohashi, Y. (2005). A new approach to the spectral theory of the fourth moment of the Riemann zeta-function. Journal fur die Reine und Angewandte Mathematik, 579, 75-114.
https://dspace.library.uu.nl/bitstream/handle/1874/377841/05BM_4momRzeta_scan.pdf?sequence=1

2003

Scholarly publications

Bruggeman, R. W., Miatello, R. J., & Pacharoni, I. (2003). Sums of Kloosterman sums for real quadratic number fields. Journal of Number Theory, 99(1), 90-119. https://doi.org/10.1016/S0022-314X(02)00060-4
https://dspace.library.uu.nl/bitstream/handle/1874/377370/03BrMiPa_sfrq.pdf?sequence=1
Bruggeman, R. W., Miatello, R. J., & Pacharoni, I. (2003). Density results for automorphic forms on Hilbert modular groups. Geometric and Functional Analysis, 13(4), 681-719. https://doi.org/10.1007/s00039-003-0427-6
Bruggeman, R. W., & Motohashi, Y. (2003). Sum formula for Kloosterman sums and the fourth moment of the Dedekind zeta-function over the Gaussian number field. Functiones et Approximatio, 31, 23-92. https://doi.org/10.7169/facm/1538186640

2002

Scholarly publications

Bruggeman, R. W., & Motohashi, Y. (2002). A note on the mean value of the zeta and L-functions. XIII. Proceedings of the Japan Academy. Series A, mathematical sciences, 78(6), 87-91. https://doi.org/10.3792/pjaa.78.87
https://dspace.library.uu.nl/bitstream/handle/1874/377372/02BrMo_note_XIII.pdf?sequence=1

2001

Scholarly publications

Bruggeman, R., & Motohashi, Y. (2001). Fourth Power Moment of Dedekind Zeta-Functions of Real Quadratic Number Fields with Class Number One. Functiones et Approximatio, 29, 41-79. https://doi.org/10.7169/facm/1538186715
https://dspace.library.uu.nl/bitstream/handle/1874/377374/01BrMo_fpm_rq.pdf?sequence=1
Bruggeman, R. W., & Motohashi, Y. (2001). A note on the mean value of the zeta and L-functions. X. Proceedings of the Japan Academy. Series A, mathematical sciences, 77, Serie A(7), 111-114. https://doi.org/10.3792/pjaa.77.111
https://dspace.library.uu.nl/bitstream/handle/1874/377366/01BrMo_note_X.pdf?sequence=1
Bruggeman, R. W., Miatello, R. J., & Pacharoni, I. (2001). Estimates for Kloosterman sums for totally real number fields. Journal fur die Reine und Angewandte Mathematik, 535, 103-164.
https://dspace.library.uu.nl/bitstream/handle/1874/377840/01BMP_eKstrnf_scan.pdf?sequence=1

1999

Scholarly publications

Bruggeman, R. W., Miatello, R. J., & Wallach, N. R. (1999). Resolvent and lattice points on symmetric spaces of strictly negative curvature. Mathematische Annalen, 315(4), 617-639. https://doi.org/10.1007/s002080050331

1998

Scholarly publications

Bruggeman, R. W., & Miatello, R. J. (1998). Sum formula for SL(2) over a number field and Selberg type estimate for exceptional eigenvalues. Geometric and Functional Analysis, 8(4), 627-655. https://doi.org/10.1007/s000390050069

1997

Scholarly publications

Bruggeman, R. W. (1997). Automorphic-forms, hyperfunction cohomology, and period functions. Journal fur die Reine und Angewandte Mathematik, 1997(492), 1-39. https://doi.org/10.1515/crll.1997.492.1
https://dspace.library.uu.nl/bitstream/handle/1874/377373/97B_afhfcoh.pdf?sequence=1
Bruggeman, R. W. (1997). Kloosterman sums for the modular group. In K. Györy, H. Iwaniec, & J. Urbanowicz (Eds.), 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 (pp. 651-674). W. de Gruyter. https://doi.org/10.1515/9783110285581

1996

Scholarly publications

Bruggeman, R. W. (1996). Estimates for Kloosterman sums and for non-uniform lattices in PSL (2, C). In C. M. Ringel (Ed.), Tagung "Hyperbolic Lattices in Dimension 3" Sonderforschungsbereich 343, Diskrete Strukturen in der Math.

1995

Scholarly publications

Bruggeman, R., & Miatello, R. J. (1995). Estimates of Kloosterman sums for groups of real rank one. Duke Mathematical Journal, 80, 105-137.
Bruggeman, R. (1995). Dedekind sums for Hecke groups. Acta Arithmetica, LXXI(1), 11-46.
https://dspace.library.uu.nl/bitstream/handle/1874/377375/95B_aa7112.pdf?sequence=1

1994

Scholarly publications

Bruggeman, R. (1994). On the distribution of Dedekind sums. Contemporary Mathematics, 166.
Bruggeman, R. (1994). Families of Automorphic Forms. (Monographs in Mathematics; Vol. 88). Birkhaüser.

1990

Scholarly publications

Bruggeman, R. (1990). On the distribution of Dedekind sums. In N. Kuznetsov, & V. Bykovskii (Eds.), International Conference Automorphic Functions and Their Applications, Khabarovsk, 27 June-4 Jule 1988 (pp. 82-89). Institute for Applied Mathematics of the USSR Academy of Sciences.
Bruggeman, R. (1990). Dedekind sums and Fourier coefficients of modular forms. Journal of Number Theory, 36(3), 289-321. https://doi.org/10.1016/0022-314X(90)90091-5

1989

Scholarly publications

Bruggeman, R. (1989). Eisenstein Series and the Distribution of Dedekind Sums. Mathematische Zeitschrift, 202, 181-198.

1986

Scholarly publications

Bruggeman, R. (1986). Modular Forms of Varying Weight, II. Mathematische Zeitschrift, 192, 297-328.
Bruggeman, R. (1986). Modular Forms of Varying Weight, III. Journal fur die Reine und Angewandte Mathematik, 371, 144-190.
https://dspace.library.uu.nl/bitstream/handle/1874/377846/86B_mfvwIII_scan.pdf?sequence=1

1985

Scholarly publications

Bruggeman, R. (1985). Automorphic Forms. In H. Iwaniec (Ed.), Elementary and Analytic Theory of Numbers: Banach Center Publications (Vol. 17, pp. 31-74). PWN - Polish Scientific Publishers. http://pldml.icm.edu.pl/pldml/element/bwmeta1.element.zamlynska-d3d972a5-9cca-439f-82b7-cc3d360ac9d7/c/bcp_17_1_03.pdf
Bruggeman, R. (1985). Modular Forms of Varying Weight, I. Mathematische Zeitschrift, 190, 477-495.

1981

Scholarly publications

Bruggeman, R. (1981). Fourier Coefficients of Automorphic Forms. (Lecture Notes in Mathematics; Vol. 865). Springer.

1978

Scholarly publications

Bruggeman, R. (1978). Fourier coefficients of cusp forms. Inventiones Mathematicae, 45, 1-18.

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