Roelof W. Bruggeman

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Period functions for vector-valued Maass cusp forms of real weight, with an application to Jacobi Maass cusp forms	2024	Anke Pohl YoungJu Choie Roelof W. Bruggeman
+	Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume	2023	Roelof W. Bruggeman Anke Pohl
+	Introduction	2023	Roelof W. Bruggeman Roberto J. Miatello
+	Submodule Structure	2023	Roelof W. Bruggeman Roberto J. Miatello
+	Application to Automorphic Forms	2023	Roelof W. Bruggeman Roberto J. Miatello
+	Representations of SU(2,1) in Fourier Term Modules	2023	Roelof W. Bruggeman Roberto J. Miatello
+	Fourier Term Modules	2023	Roelof W. Bruggeman Roberto J. Miatello
+	The Lie Group SU(2,1) and Subgroups	2023	Roelof W. Bruggeman Roberto J. Miatello
+	Generalized Poincar\'e series for $\mathrm{SU}(2,1)$	2021	Roelof W. Bruggeman Roberto J. Miatello
+	Generalized Poincaré series for $\mathrm{SU}(2,1)$	2021	Roelof W. Bruggeman Roberto J. Miatello
+	Optical-acoustical interaction in FPU-chains with alternating large masses (plus appendix)	2020	Roelof W. Bruggeman Ferdinand Verhulst
+	Representations of the unitary group $\mathrm{SU}(2,1)$ in Fourier term modules	2019	Roelof W. Bruggeman Roberto J. Miatello
+	Modular cocycles and cup product	2019	Roelof W. Bruggeman YoungJu Choie
+	Representations of the unitary group SU(2,1) in Fourier term modules	2019	Roelof W. Bruggeman Roberto J. Miatello
+	Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume	2019	Roelof W. Bruggeman Anke Pohl
+	Modular cocycles and cup product	2018	Roelof W. Bruggeman YoungJu Choie
+ PDF Chat	Holomorphic Automorphic Forms and Cohomology	2018	Roelof W. Bruggeman YoungJu Choie Nikolaos Diamantis
+ PDF Chat	Holomorphic modular forms and cocycles	2018	Roelof W. Bruggeman
+	Holomorphic Automorphic Forms and Cohomology	2018	Roelof W. Bruggeman YoungJu Choie Nikolaos Diamantis
+	Modular cocycles and cup product	2018	Roelof W. Bruggeman YoungJu Choie
+ PDF Chat	Multiple period integrals and cohomology	2016	Roelof W. Bruggeman YoungJu Choie
+	Fourier coefficients of Eisenstein series formed with modular symbols and their spectral decomposition	2016	Roelof W. Bruggeman Nikolaos Diamantis
+	The inhomogeneous Fermi-Pasta-Ulam chain	2015	Ferdinand Verhulst Roelof W. Bruggeman
+	The inhomogeneous Fermi-Pasta-Ulam chain	2015	Ferdinand Verhulst Roelof W. Bruggeman
+	Holomorphic automorphic forms and cohomology	2014	Roelof W. Bruggeman YoungJu Choie Nikolaos Diamantis
+	Holomorphic automorphic forms and cohomology	2014	Roelof W. Bruggeman YoungJu Choie Nikolaos Diamantis
+ PDF Chat	Perturbation of Zeros of the Selberg Zeta Function for Γ<sub>0</sub>(4)	2013	Roelof W. Bruggeman Markus Szymon Fraczek Dieter Mayer
+ PDF Chat	Harmonic lifts of modular forms	2013	Roelof W. Bruggeman
+	Shifted convolution sums and Eisenstein series formed with modular symbols	2013	Nikolaos Diamantis Roelof W. Bruggeman
+ PDF Chat	Eigenvalues of Hecke operators on Hilbert modular groups	2013	Roelof W. Bruggeman Roberto J. Miatello
+ PDF Chat	Higher-order Maass forms	2012	Roelof W. Bruggeman Nikolaos Diamantis
+	Harmonic lifts of modular forms	2012	Roelof W. Bruggeman
+	Perturbation of zeros of the Selberg zeta-function for $\Gamma_0(4)$	2012	Roelof W. Bruggeman Markus Szymon Fraczek Dieter Mayer
+	Perturbation of zeros of the Selberg zeta-function for $Γ_0(4)$	2012	Roelof W. Bruggeman Markus Szymon Fraczek Dieter Mayer
+	Harmonic lifts of modular forms	2012	Roelof W. Bruggeman
+ PDF Chat	New Lattice Point Asymptotics for Products of Upper Half-planes	2010	Roelof W. Bruggeman Fritz Grunewald Roberto J. Miatello
+ PDF Chat	Density results for automorphic forms on Hilbert modular groups II	2010	Roelof W. Bruggeman Roberto J. Miatello
+	Sum Formula for SL2 over a Totally Real Number Field	2009	Roelof W. Bruggeman Roberto J. Miatello
+	Lattice points for products of upper half planes	2009	Roelof W. Bruggeman Fritz Grunewald Roberto J. Miatello
+	Sum formula for 𝑆𝐿₂ over a totally real number field	2009	Roelof W. Bruggeman Roberto J. Miatello
+	Density results for automorphic forms on Hilbert modular groups II	2009	Roelof W. Bruggeman Roberto J. Miatello
+ PDF Chat	Eigenfunctions of transfer operators and cohomology	2008	Roelof W. Bruggeman Tobias Mühlenbruch
+ PDF Chat	A new approach to the spectral theory of the fourth moment of the Riemann zeta-function	2005	Roelof W. Bruggeman Yoichi Motohashi
+ PDF Chat	Density results for automorphic forms on Hilbert modular groups	2003	Roelof W. Bruggeman Roberto J. Miatello I. Pacharoni
+	Sums of Kloosterman sums for real quadratic number fields	2003	Roelof W. Bruggeman Roberto J. Miatello I. Pacharoni
+	A New Approach to the Spectral Theory of the Fourth Moment of the Riemann Zeta-Function	2003	Roelof W. Bruggeman Yoichi Motohashi
+	Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field	2003	Roelof W. Bruggeman Yoichi Motohashi
+ PDF Chat	A note on the mean value of the zeta and $L$-functions. XIII	2002	Roelof W. Bruggeman Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions(13)	2002	Roelof W. Bruggeman Yoichi Motohashi
+	Sum formula for Kloosterman sums and fourth moment of the Dedekind zeta-function over the Gaussian number field	2002	Roelof W. Bruggeman Yoichi Motohashi
+	Density results for automorphic forms on Hilbert modular groups	2002	Roelof W. Bruggeman Roberto J. Miatello M. I. Pacharoni
+ PDF Chat	A note on the mean value of the zeta and $L$-functions. X	2001	Roelof W. Bruggeman Yoichi Motohashi
+	A note on the mean value of the zeta and L-functions(10)	2001	Roelof W. Bruggeman Yoichi Motohashi
+ PDF Chat	Estimates for Kloosterman sums for totally real number fields	2001	Roelof W. Bruggeman Roberto J. Miatello I. Pacharoni
+	Fourth power moment of Dedekind zeta-functions of real quadratic number fields with class number one	2001	Roelof W. Bruggeman Yoichi Motohashi
+	Kloosterman sums for the modular group	1999	Roelof W. Bruggeman
+ PDF Chat	Resolvent and lattice points on symmetric spaces of strictly negative curvature	1999	Roelof W. Bruggeman Roberto J. Miatello Nolan R. Wallach
+	Sum Formula for SL 2 over a Number Field and Selberg Type Estimate for Exceptional Eigenvalues	1998	Roelof W. Bruggeman Roberto J. Miatello
+ PDF Chat	Automorphic forms, hyperfunction cohomology, and period functions.	1997	Roelof W. Bruggeman
+	Estimates of Kloosterman sums for groups of real rank one	1995	Roelof W. Bruggeman Roberto J. Miatello
+ PDF Chat	Dedekind sums for Hecke groups	1995	Roelof W. Bruggeman
+	Automorphic hyperfunctions and period functions	1995	Roelof W. Bruggeman
+	Pseudo Casimir operator	1994	Roelof W. Bruggeman
+	Poincaré families along vertical lines	1994	Roelof W. Bruggeman
+	Transformation and truncation	1994	Roelof W. Bruggeman
+ PDF Chat	Families of automorphic forms	1994	Roelof W. Bruggeman
+	Automorphic forms on the universal covering group	1994	Roelof W. Bruggeman
+	On the distribution of Dedekind sums	1994	Roelof W. Bruggeman
+	Selfadjoint extension of the Casimir operator	1994	Roelof W. Bruggeman
+	Poincaré series	1994	Roelof W. Bruggeman
+	Automorphic forms	1994	Roelof W. Bruggeman
+	Modular introduction	1994	Roelof W. Bruggeman
+	Families of Automorphic Forms	1994	Roelof W. Bruggeman
+	Automorphic forms for the modular group	1994	Roelof W. Bruggeman
+	Automorphic forms for the theta group	1994	Roelof W. Bruggeman
+	Meromorphic continuation of Poincaré series	1994	Roelof W. Bruggeman
+	Singularities of Poincaré families	1994	Roelof W. Bruggeman
+	Automorphic forms for the commutator subgroup	1994	Roelof W. Bruggeman
+	Dedekind sums and Fourier coefficients of modular forms	1990	Roelof W. Bruggeman
+	On the distribution of Dedekind sums	1990	Roelof W. Bruggeman
+	Eisenstein series and the distribution of Dedekind sums	1989	Roelof W. Bruggeman
+	Modular forms of varying weight. II	1986	Roelof W. Bruggeman
+	Modular Forms of Varying Weight, III	1986	Roelof W. Bruggeman
+	Modular forms of varying weight. I	1985	Roelof W. Bruggeman
+ PDF Chat	Automorphic forms	1985	Roelof W. Bruggeman
+	Fourier coefficients of automorphic models	1981	Roelof W. Bruggeman
+	The space H σ τ	1981	Roelof W. Bruggeman
+	Scalar product of Poincaré series	1981	Roelof W. Bruggeman
+	The universal covering group G	1981	Roelof W. Bruggeman
+ PDF Chat	Fourier Coefficients of Automorphic Forms	1981	Roelof W. Bruggeman
+	Kuznetsov's proof of the Ramanujan-Petersson conjecture for modular forms of weight zero	1979	Roelof W. Bruggeman
+	Fourier coefficients of cusp forms	1978	Roelof W. Bruggeman

Common Coauthors

Coauthor	Papers Together
Roberto J. Miatello	24
YoungJu Choie	9
Yoichi Motohashi	9
Nikolaos Diamantis	5
I. Pacharoni	3
Anke Pohl	3
Ferdinand Verhulst	3
Markus Szymon Fraczek	3
Nikolaos Diamantis	2
Fritz Grunewald	2
Dieter Mayer	2
M. I. Pacharoni	1
Nolan R. Wallach	1
Tobias Mühlenbruch	1
Dieter Mayer	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Selberg Trace Formula for PSL(2,ℝ)	1983	Dennis A. Hejhal	9
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	9
+	Automorphic forms constructed from Whittaker vectors	1989	Roberto J. Miatello Nolan R. Wallach	9
+	Confluent Hypergeometric Functions	2008	L. J. Slater	8
+ PDF Chat	On the Functional Equations Satisfied by Eisenstein Series	1976	R. P. Langlands	7
+ PDF Chat	Some new results on the Eichler cohomology of automorphic forms	1974	Marvin I. Knopp	6
+ PDF Chat	A class of nonanalytic automorphic functions	1973	Douglas Niebur	6
+ PDF Chat	Automorphic Forms on Semisimple Lie Groups	1968	Harish-chandra Harish-Chandra	6
+	Kuznetsov formulas for real rank one groups	1990	Roberto J. Miatello Nolan R. Wallach	6
+	Cuspidality of symmetric powers with applications	2002	Henry H. Kim Freydoon Shahidi	6
+ PDF Chat	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	5
+	Families of Automorphic Forms	1994	Roelof W. Bruggeman	5
+	Whittaker vectors and conical vectors	1980	Roe Goodman Nolan R. Wallach	5
+	Estimates of Kloosterman sums for groups of real rank one	1995	Roelof W. Bruggeman Roberto J. Miatello	5
+ PDF Chat	Eichler cohomology theorem for automorphic forms of small weights	2009	Marvin I. Knopp Henok Mawi	5
+	Sum Formula for SL 2 over a Number Field and Selberg Type Estimate for Exceptional Eigenvalues	1998	Roelof W. Bruggeman Roberto J. Miatello	5
+ PDF Chat	Fourier Coefficients of Automorphic Forms	1981	Roelof W. Bruggeman	5
+	Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series	1956	Atle Selberg	5
+ PDF Chat	Algebraic number theory	1999	Kazuya Katô Nobushige Kurokawa Takeshi Saito	5
+ PDF Chat	Families of automorphic forms	1994	Roelof W. Bruggeman	5
+	Asymptotic behavior of matrix coefficients of admissible representations	1982	W. Casselman Dragan Miličić	4
+	Modular forms of varying weight. II	1986	Roelof W. Bruggeman	4
+ PDF Chat	Period Functions for Maass Wave Forms and Cohomology	2015	Richard Bruggeman James B. Lewis Don Zagier	4
+ PDF Chat	Estimates for Kloosterman sums for totally real number fields	2001	Roelof W. Bruggeman Roberto J. Miatello I. Pacharoni	4
+	Representation of Lie Groups and Special Functions	1992	N. Ja. Vilenkin A. U. Klimyk	4
+	Representation Theory of Semisimple Groups: An Overview Based on Examples	1986	Anthony W. Knapp	4
+	Kloosterman sums and Fourier coefficients of cusp forms	1982	Jean-Marc Deshouillérs Henryk Iwaniec	4
+	Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II	1967	Walter Roelcke	4
+ PDF Chat	A note on the mean value of the zeta and $L$-functions, I	1985	Yoichi Motohashi	4
+	Spaces of holomorphic functions equivalent to the even Maass cusp forms	1997	John B. Lewis	4
+	Introduction to the spectral theory of automorphic forms	1995	Henryk Iwaniec	4
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	4
+ PDF Chat	The generalized Whittaker functions for $SU(2,1)$ and the Fourier expansion of automorphic forms	2000	Yoshi-hiro Ishikawa	4
+	Real Reductive Groups I	1988		4
+ PDF Chat	Discontinuous Groups and Automorphic Functions	1964	Joseph Lehner	3
+	Matrix Valued Spherical Functions Associated to the Complex Projective Plane	2002	F. Alberto Grünbaum I. Pacharoni Juan Tirao	3
+	Nichteuklidische Gitterpunktprobleme und Gleichverteilung in linearen algebraischen Gruppen	1982	Hans‐Jochen Bartels	3
+ PDF Chat	Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues	2009	Jan Hendrik Bruinier Ken Ono Robert C. Rhoades	3
+	Holomorphic Automorphic Forms and Cohomology	2018	Roelof W. Bruggeman YoungJu Choie Nikolaos Diamantis	3
+	Dedekind sums and Fourier coefficients of modular forms	1990	Roelof W. Bruggeman	3
+ PDF Chat	The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)	1991	Dieter Mayer	3
+	�ber eine neue Art von nichtanalytischen automorphen Funktionen und die Bestimmung Dirichlet scher Reihen durch Funktionalgleichungen	1949	Hans Maaß	3
+	Eine Verallgemeinerung der Abelschen Integrale	1957	Martin Eichler	3
+	Fourier coefficients of cusp forms	1978	Roelof W. Bruggeman	3
+ PDF Chat	The resolvent of the Laplacian on locally symmetric spaces	1992	Roberto J. Miatello Nolan R. Wallach	3
+ PDF Chat	On a completed generating function of locally harmonic Maass forms	2014	Kathrin Bringmann Ben Kane Sander Zwegers	3
+ PDF Chat	The spectral function of an elliptic operator	1968	Lars Hörmander	3
+ PDF Chat	Sur les int\'egrales attach\'ees aux formes automorphes.	1959	Par Goro SHIMURA	3
+	Real reductive groups II	1992	Nolan R. Wallach	3
+	Über eine neue Klasse automorpher Funktionen und ein Gitterpunktproblem in der hyperbolischen Ebene. I.	1956	Heinz Huber	3