Publicaties
2024
Wetenschappelijke publicaties
2023
Wetenschappelijke publicaties
Bruggeman, R., & Miatello, R. (2023). Representations or SU(2,1) in Fourier term modules. (1 ed.) (Lecture Notes in Mathematics; Vol. 2430). Springer. [DOI]
Bruggeman, R., & Pohl, A. (2023). Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume. (1423 ed.) (Memoirs ; Vol. 287, No. 1423). American Mathematical Society.
2019
Wetenschappelijke publicaties
Bruggeman, R., & Pohl, A. (2019). Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume. (pp. 1-138). arXiv. [DOI] [Repository]
Bruggeman, R., & Verhulst, F. (2019). Near-Integrability and Recurrence in FPU Chains with Alternating Masses. Journal of Nonlinear Science, 29(1), 183-206. [DOI] [Repository]
Bruggeman, R. W., & Choie, Y. (2019). Modular cocycles and cup product. Advances in Mathematics, 351, 296-342. [DOI] [Repository]
2018
Wetenschappelijke publicaties
Bruggeman, R. W., Choie, Y., & Diamantis, N. (2018). Holomorphic automorphic forms and cohomology. (Memoirs of the American Mathematical Society; Vol. 253, No. 1212). American Mathematical Society. [DOI] [Repository]
Bruggeman, R. W. (2018). Holomorphic modular forms and cocycles. Research in the Mathematical Sciences, 5, 1-8. Article 5. [DOI] [Repository]
2017
Wetenschappelijke publicaties
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. [DOI] [Repository]
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. [DOI] [Repository]
2016
Wetenschappelijke publicaties
Bruggeman, R. W., & Choie, Y. (2016). Multiple period integrals and cohomology. Algebra Number Theory, 10(3), 645-664. [DOI] [Repository]
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. [DOI] [Repository]
2015
Wetenschappelijke publicaties
Bruggeman, R., Lewis, J., & Zagier, D. (2015). Period functions for Maass wave forms and cohomology. Memoirs of the American Mathematical Society, 237(1118). [DOI] [Repository]
2013
Wetenschappelijke publicaties
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. [DOI]
2012
Wetenschappelijke publicaties
Bruggeman, R. W., & Diamantis, N. (2012). Higher-order Maass forms. Algebra Number Theory, 6-7, 1409-1458. [DOI]
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. [DOI]
2011
Wetenschappelijke publicaties
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. [DOI]
2010
Wetenschappelijke publicaties
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. [DOI]
2009
Wetenschappelijke publicaties
Bruggeman, R. W., & Mühlenbruch, T. (2009). Eigenfuncties of transfer operators and cohomology. Journal of Number Theory, 129(1), 158-181. [DOI]
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
Wetenschappelijke publicaties
Bruggeman, R. W. (2006). Quantum Maass forms. In L. Weng, & M. Kaneko (Eds.), The conference on L-functions (pp. 1-15). World Scienctific. [DOI]
2005
Wetenschappelijke publicaties
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. [Repository]
2003
Wetenschappelijke publicaties
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. [DOI] [Repository]
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. [DOI]
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. [DOI] [Repository]
2002
Wetenschappelijke publicaties
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. [DOI] [Repository]
2001
Wetenschappelijke publicaties
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. [DOI] [Repository]
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. [DOI] [Repository]
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. [Repository]
1999
Wetenschappelijke publicaties
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. [DOI]
1998
Wetenschappelijke publicaties
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. [DOI]
1997
Wetenschappelijke publicaties
Bruggeman, R. W. (1997). Automorphic-forms, hyperfunction cohomology, and period functions. Journal fur die Reine und Angewandte Mathematik, 1997(492), 1-39. [DOI] [Repository]
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). De Gruyter. [DOI]
1996
Wetenschappelijke publicaties
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
Wetenschappelijke publicaties
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. [Repository]
1994
Wetenschappelijke publicaties
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
Wetenschappelijke publicaties
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. [DOI]
1989
Wetenschappelijke publicaties
Bruggeman, R. (1989). Eisenstein Series and the Distribution of Dedekind Sums. Mathematische Zeitschrift, 202, 181-198.
1986
Wetenschappelijke publicaties
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. [Repository]
1985
Wetenschappelijke publicaties
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
Wetenschappelijke publicaties
Bruggeman, R. (1981). Fourier Coefficients of Automorphic Forms. (Lecture Notes in Mathematics; Vol. 865). Springer.
1978
Wetenschappelijke publicaties
Bruggeman, R. (1978). Fourier coefficients of cusp forms. Inventiones Mathematicae, 45, 1-18.