Jan Hendrik Bruinier

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All published works

Action	Title	Year	Authors
+	Formal Siegel modular forms for arithmetic subgroups	2024	Jan Hendrik Bruinier Martin Raum
+ PDF Chat	Harmonic weak Maass forms and periods II	2024	Claudia Alfes-Neumann Jan Hendrik Bruinier Markus Schwagenscheidt
+ PDF Chat	Modularity of special 0-cycles on toroidal compactifications of Shimura Varieties	2024	Jan Hendrik Bruinier Eugenia Rosu Shaul Zemel
+ PDF Chat	Formal Siegel modular forms for arithmetic subgroups	2024	Jan Hendrik Bruinier Martin Raum
+	Moduli spaces and Modular forms	2022	Jan Hendrik Bruinier Gerard van der Geer Valery Gritsenko
+	Deformations of Theta Integrals and A Conjecture of Gross-Zagier	2022	Jan Hendrik Bruinier Yingkun Li Tonghai Yang
+	Harmonic weak Maass forms and periods II	2022	Claudia Alfes-Neumann Jan Hendrik Bruinier Markus Schwagenscheidt
+ PDF Chat	Special cycles on toroidal compactifications of orthogonal Shimura varieties	2021	Jan Hendrik Bruinier Shaul Zemel
+	Arithmetic volumes of unitary Shimura varieties	2021	Jan Hendrik Bruinier Benjamin Howard
+ PDF Chat	CM values of higher automorphic Green functions for orthogonal groups	2021	Jan Hendrik Bruinier Stephan Ehlen Tonghai Yang
+	Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series	2021	Jan Hendrik Bruinier Tonghai Yang
+	Arithmetic volumes of unitary Shimura varieties	2021	Jan Hendrik Bruinier Benjamin Howard
+	Modular Forms	2020	Jan Hendrik Bruinier Atsushi Ichino Tamotsu Ikeda Özlem Imamoğlu
+ PDF Chat	Theta lifts for Lorentzian lattices and coefficients of mock theta functions	2020	Jan Hendrik Bruinier Markus Schwagenscheidt
+ PDF Chat	Modularity of generating series of divisors on unitary Shimura varieties	2020	Jan Hendrik Bruinier Benjamin Howard Stephen S. Kudla Michael Rapoport Tonghai Yang
+ PDF Chat	Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications	2020	Jan Hendrik Bruinier Benjamin Howard Stephen S. Kudla Michael Rapoport Tonghai Yang
+	Arithmetic divisors on orthogonal and unitary Shimura varieties	2020	Jan Hendrik Bruinier Benjamin Howard Stephen S. Kudla Michael Rapoport Tonghai Yang Keerthi Madapusi Pera
+	Special Cycles on Toroidal Compactifications of Orthogonal Shimura Varieties	2019	Jan Hendrik Bruinier Shaul Zemel
+	Cones of Heegner divisors	2019	Jan Hendrik Bruinier Martin Möller
+ PDF Chat	A CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON	2019	Jan Hendrik Bruinier Markus Schwagenscheidt
+	CM values of higher automorphic Green functions for orthogonal groups	2019	Jan Hendrik Bruinier Stephan Ehlen Tonghai Yang
+	ARITHMETIC DEGREES OF SPECIAL CYCLES AND DERIVATIVES OF SIEGEL EISENSTEIN SERIES (Analytic and Arithmetic Theory of Automorphic Forms)	2019	Jan Hendrik Bruinier
+	Special Cycles on Toroidal Compactifications of Orthogonal Shimura Varieties	2019	Jan Hendrik Bruinier Shaul Zemel
+ PDF Chat	Modularity of generating series of winding numbers	2018	Jan Hendrik Bruinier Jens Funke Özlem Imamoğlu Yingkun Li
+	Arithmetic degrees of special cycles and derivatives of Siegel Eisenstein series	2018	Jan Hendrik Bruinier Tonghai Yang
+ PDF Chat	Borcherds products with prescribed divisor	2017	Jan Hendrik Bruinier
+	Moduli spaces and Modular forms	2017	Jan Hendrik Bruinier Gerard van der Geer Valery Gritsenko
+	Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products	2017	Jan Hendrik Bruinier Markus Schwagenscheidt
+	Cones of Heegner divisors	2017	Jan Hendrik Bruinier Martin Möller
+	Modularity of generating series of winding numbers	2017	Jan Hendrik Bruinier Jens Funke Özlem Imamoğlu Yingkun Li
+	L-Functions and Automorphic Forms	2017	Jan Hendrik Bruinier Winfried Kohnen
+	Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications	2017	Jan Hendrik Bruinier Benjamin Howard Stephen S. Kudla Michael Rapoport Tonghai Yang
+	Modularity of generating series of divisors on unitary Shimura varieties	2017	Jan Hendrik Bruinier Benjamin Howard Stephen S. Kudla Michael Rapoport Tonghai Yang
+ PDF Chat	Degenerate Whittaker functions for $\Sp_n(\R)$	2016	Jan Hendrik Bruinier Jens Funke Stephen S. Kudla
+ PDF Chat	Heegner divisors in generalized Jacobians and traces of singular moduli	2016	Jan Hendrik Bruinier Yingkun Li
+ PDF Chat	KUDLA’S MODULARITY CONJECTURE AND FORMAL FOURIER–JACOBI SERIES	2015	Jan Hendrik Bruinier Martin Raum
+	Class polynomials for nonholomorphic modular functions	2015	Jan Hendrik Bruinier Ken Ono Andrew V. Sutherland
+ PDF Chat	Lattices with many Borcherds products	2015	Jan Hendrik Bruinier Stephan Ehlen Eberhard Freitag
+	Modular Forms	2015	Jan Hendrik Bruinier Atsushi Ichino Tamotsu Ikeda Özlem Imamoğlu
+	Classes of Heegner divisors and traces of singular moduli	2015	Jan Hendrik Bruinier
+ PDF Chat	Heights of Kudla–Rapoport divisors and derivatives of $$L$$ L -functions	2014	Jan Hendrik Bruinier Benjamin Howard Tonghai Yang
+ PDF Chat	Vector valued formal Fourier-Jacobi series	2014	Jan Hendrik Bruinier
+	Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series	2014	Jan Hendrik Bruinier Martin Raum
+	Lattices with many Borcherds products	2014	Jan Hendrik Bruinier Stephan Ehlen Eberhard Freitag
+	Kudla's Modularity Conjecture and Formal Fourier-Jacobi Series	2014	Jan Hendrik Bruinier Martin Raum
+	Lattices with many Borcherds products	2014	Jan Hendrik Bruinier Stephan Ehlen Eberhard Freitag
+	On the converse theorem for Borcherds products	2013	Jan Hendrik Bruinier
+	Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms	2013	Jan Hendrik Bruinier Ken Ono
+	Regularized theta liftings and periods of modular functions	2013	Jan Hendrik Bruinier Jens Funke Özlem Imamoğlu
+ PDF Chat	Harmonic Maass forms and periods	2013	Jan Hendrik Bruinier
+	Vector valued formal Fourier-Jacobi series	2013	Jan Hendrik Bruinier
+	Recent Work on the Partition Function	2013	Jan Hendrik Bruinier Amanda Folsom Zachary A. Kent Ken Ono
+	Identities and congruences for Ramanujan’s ω(q)	2013	Jan Hendrik Bruinier Ken Ono
+	Vector valued formal Fourier-Jacobi series	2013	Jan Hendrik Bruinier
+	On the converse theorem for Borcherds products	2012	Jan Hendrik Bruinier
+ PDF Chat	Computation of Harmonic Weak Maass Forms	2012	Jan Hendrik Bruinier Fredrik Strömberg
+	On the converse theorem for Borcherds products	2012	Jan Hendrik Bruinier
+	Regularized theta liftings and periods of modular functions	2011	Jan Hendrik Bruinier Jens Funke Özlem Imamoğlu
+ PDF Chat	Regularized theta lifts for orthogonal groups over totally real fields	2011	Jan Hendrik Bruinier
+	Harmonic Maass forms and periods	2011	Jan Hendrik Bruinier
+	Special Values of Green Functions at Big CM Points	2011	Jan Hendrik Bruinier Stephen S. Kudla Tai Yang
+	Computation of harmonic weak Maass forms	2011	Jan Hendrik Bruinier Fredrik Strömberg
+	Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms	2011	Jan Hendrik Bruinier Ken Ono
+	Regularized theta liftings and periods of modular functions	2011	Jan Hendrik Bruinier Jens Funke Özlem Imamoğlu
+	Harmonic Maass forms and periods	2011	Jan Hendrik Bruinier
+	Computation of harmonic weak Maass forms	2011	Jan Hendrik Bruinier Fredrik Strömberg
+ PDF Chat	Heegner divisors,<i>L</i>-functions and harmonic weak Maass forms	2010	Jan Hendrik Bruinier Ken Ono
+	On the Injectivity of the Kudla-Millson Lift and Surjectivity of the Borcherds Lift	2010	Jan Hendrik Bruinier Jens Funke
+	Identities and congruences for Ramanujan’s ω(q)	2010	Jan Hendrik Bruinier Ken Ono
+	CM values of automorphic Green functions on orthogonal groups over totally real fields	2010	Jan Hendrik Bruinier Tonghai Yang
+	Faltings heights of big CM cycles and derivatives of L-functions	2010	Jan Hendrik Bruinier Stephen S. Kudla Tonghai Yang
+	Regularized theta lifts for orthogonal groups over totally real fields	2009	Jan Hendrik Bruinier
+ PDF Chat	Faltings heights of CM cycles and derivatives of L-functions	2009	Jan Hendrik Bruinier Tonghai Yang
+ PDF Chat	Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues	2009	Jan Hendrik Bruinier Ken Ono Robert C. Rhoades
+ PDF Chat	The 1-2-3 of modular forms: lectures at a summer school in Nordfjordeid, Norway	2009	Jan Hendrik Bruinier
+	Regularized theta lifts for orthogonal groups over totally real fields	2009	Jan Hendrik Bruinier
+ PDF Chat	The Weil representation and Hecke operators for vector valued modular forms	2008	Jan Hendrik Bruinier Oliver Stein
+	Modular Forms on Schiermonnikoog	2008	Bas Edixhoven Bas Edixhoven Bas Edixhoven Siegfried Böcherer Kathrin Bringmann Jan Hendrik Bruinier Robin de Jong Luis Dieulefait Luis Dieulefait Bernhard Heim
+ PDF Chat	Sign changes of coefficients of half integral weight modular forms	2008	Jan Hendrik Bruinier Winfried Kohnen
+ PDF Chat	Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues	2008	Jan Hendrik Bruinier Ken Ono Robert C. Rhoades
+	Differential operators and harmonic weak Maass forms	2008	Jan Hendrik Bruinier Ken Ono Robert C. Rhoades
+	Hilbert Modular Forms and Their Applications	2008	Jan Hendrik Bruinier
+	Faltings heights of CM cycles and derivatives of L-functions	2008	Jan Hendrik Bruinier Tonghai Yang
+	The 1-2-3 of Modular Forms	2008	Jan Hendrik Bruinier Gerard van der Geer Günter Harder Don Zagier
+	Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues	2008	Jan Hendrik Bruinier Ken Ono Robert C. Rhoades
+ PDF Chat	Borcherds products and arithmetic intersection theory on Hilbert modular surfaces	2007	Jan Hendrik Bruinier José Ignacio Burgos Gil Ulf Kühn
+ PDF Chat	Twisted Borcherds products on Hilbert modular surfaces and their CM values	2007	Jan Hendrik Bruinier Tonghai Yang
+	Sign changes of coefficients of half integral weight modular forms	2007	Jan Hendrik Bruinier Winfried Kohnen
+	Heegner divisors, $L$-functions and harmonic weak Maass forms	2007	Jan Hendrik Bruinier Ken Ono
+	The Weil representation and Hecke operators for vector valued modular forms	2007	Jan Hendrik Bruinier Oliver Stein
+	TRACES OF CM VALUES OF MODULAR FUNCTIONS AND RELATED TOPICS(Automorphic Forms and Automorphic L-Functions)	2006	Jan Hendrik Bruinier
+	Traces of CM values of modular functions	2006	Jan Hendrik Bruinier Jens Funke
+	On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift	2006	Jan Hendrik Bruinier Jens Funke
+	Hilbert modular forms and their applications	2006	Jan Hendrik Bruinier
+	Hilbert class polynomials and traces of singular moduli	2005	Jan Hendrik Bruinier Paul A. Jenkins Ken Ono
+	CM-values of Hilbert modular functions	2005	Jan Hendrik Bruinier Tonghai Yang
+	Traces of CM values of modular functions and related topics	2005	Jan Hendrik Bruinier
+	Twisted Borcherds products on Hilbert modular surfaces and their CM values	2005	Jan Hendrik Bruinier Tonghai Yang
+	On two geometric theta lifts	2004	Jan Hendrik Bruinier Jens Funke
+ PDF Chat	Two applications of the curve lemma for orthogonal groups	2004	Jan Hendrik Bruinier
+ PDF Chat	The arithmetic of the values of modular functions and the divisors of modular forms	2004	Jan Hendrik Bruinier Winfried Kohnen Ken Ono
+	Infinite products in number theory and geometry	2004	Jan Hendrik Bruinier
+	Traces of CM values of modular functions	2004	Jan Hendrik Bruinier Jens Funke
+	Corrigendum to “Coefficients of half-integral weight modular forms”	2003	Jan Hendrik Bruinier Ken Ono
+	The arithmetic of Borcherds' exponents	2003	Jan Hendrik Bruinier Ken Ono
+	Coefficients of half-integral weight modular forms	2003	Jan Hendrik Bruinier Ken Ono
+ PDF Chat	On Borcherds Products Associated with Lattices of Prime Discriminant	2003	Jan Hendrik Bruinier Michael Bundschuh
+	Borcherds products and arithmetic intersection theory on Hilbert modular surfaces	2003	Jan Hendrik Bruinier José Ignacio Burgos Gil Ulf Kuehn
+	Two applications of the curve lemma for orthogonal groups	2003	Jan Hendrik Bruinier
+	On Borcherds products associated with lattices of prime discriminant	2003	Jan Hendrik Bruinier Michael Bundschuh
+	None	2003	Jan Hendrik Bruinier Ulf Kühn
+	None	2003	Jan Hendrik Bruinier Michael Bundschuh
+	Integrals of automorphic Green's functions associated to Heegner divisors	2002	Jan Hendrik Bruinier Ulf Kuehn
+ PDF Chat	None	2002	Jan Hendrik Bruinier
+	3. The Fourier expansion of the theta lift	2002	Jan Hendrik Bruinier
+	4. Some Riemann geometry on O(2,l)	2002	Jan Hendrik Bruinier
+	1. Vector valued modular forms for the metaplectic group	2002	Jan Hendrik Bruinier
+	5. Chern classes of Heegner divisors	2002	Jan Hendrik Bruinier
+	On Two Geometric Theta Lifts	2002	Jan Hendrik Bruinier Jens Funke
+	Borcherds Products on O(2, l) and Chern Classes of Heegner Divisors	2002	Jan Hendrik Bruinier
+	Eisenstein series attached to lattices¶and modular forms on orthogonal groups	2001	Jan Hendrik Bruinier Michael Kuß
+	Primzahlen, Teilersummen und die Riemannsche Vermutung	2001	Jan Hendrik Bruinier
+ PDF Chat	Local Borcherds products	2001	Jan Hendrik Bruinier Eberhard Freitag
+	Borcherds products and Chern classes of Hirzebruch-Zagier divisors	1999	Jan Hendrik Bruinier
+	Nonvanishing modulo ℓ of Fourier coefficients of half-integral weight modular forms	1999	Jan Hendrik Bruinier
+	Non-vanishing of scalar products of Fourier-Jacobi coefficients of Siegel cusp forms	1999	Siegfried Böcherer Jan Hendrik Bruinier Winfried Kohnen
+	Congruence Properties of Values of L-Functions and Applications	1999	Jan Hendrik Bruinier Kevin James Winfried Kohnen Ken Ono Christopher Skinner Vinayak Vatsal
+	On a Theorem of Vignéras	1998	Jan Hendrik Bruinier
+ PDF Chat	None	1996	Jan Hendrik Bruinier Darmstadt Editorial Board Valentin Blomer Fred Cohen Rochester Droste Frank Duzaar Siegfried Echterhoff Jan Frahm Maria Aarhus Freydoon Storrs
+ PDF Chat	None	1991	Jan Hendrik Bruinier Darmstadt Editorial Board Valentin Blomer Chantal David Manfred Droste Frank Duzaar Siegfried Echterhoff Jan Frahm Maria Aarhus Clara Storrs
+ PDF Chat	None	1990	Jan Hendrik Bruinier Darmstadt Editorial Board Valentin Blomer Chantal David Manfred Droste Frank Duzaar Siegfried Echterhoff Jan Frahm Maria Aarhus Clara Storrs

Common Coauthors

Coauthor	Papers Together
Ken Ono	18
Tonghai Yang	18
Jens Funke	12
Benjamin Howard	8
Stephen S. Kudla	8
Özlem Imamoğlu	7
Winfried Kohnen	6
Michael Rapoport	5
Markus Schwagenscheidt	5
Stephan Ehlen	5
Martin Raum	5
Shaul Zemel	4
Eberhard Freitag	4
Robert C. Rhoades	4
Responsible Editor	3
Valentin Blomer	3
Frank Duzaar	3
Jan Frahm	3
Michael Bundschuh	3
Siegfried Echterhoff	3
Darmstadt Editorial Board	3
Christopher Lafayette	3
Fredrik Strömberg	3
West Shahidi	3
Gerard van der Geer	3
Markus Kügel	3
Franz Printing	3
Druck Stückle	3
Maksym Park	2
Yingkun Li	2
Valery Gritsenko	2
Ulf Kühn	2
Ulf Kuehn	2
Yingkun Li	2
Manfred Droste	2
José Ignacio Burgos Gil	2
Chantal David	2
Claudia Alfes-Neumann	2
Siegfried Böcherer	2
Tamotsu Ikeda	2
Atsushi Ichino	2
Baltimore Sogge	2
Maria Aarhus	2
Clara Storrs	2
Karin Regensburg	2
College Melnick	2
Freydoon Pasadena	2
Oliver Stein	2
Martin Möller	2
Bas Edixhoven	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Automorphic forms with singularities on Grassmannians	1998	Richard E. Borcherds	63
+	Borcherds Products on O(2, l) and Chern Classes of Heegner Divisors	2002	Jan Hendrik Bruinier	60
+	On two geometric theta lifts	2004	Jan Hendrik Bruinier Jens Funke	46
+ PDF Chat	The Gross-Kohnen-Zagier theorem in higher dimensions	1999	Richard E. Borcherds	41
+	The Theory of Jacobi Forms	1985	Martin Eichler Don Zagier	31
+	Central Derivatives of Eisenstein Series and Height Pairings	1997	Stephen S. Kudla	29
+ PDF Chat	Intersection numbers of cycles on locally symmetric spaces and fourier coefficients of holomorphic modular forms in several complex variables	1990	Stephen S. Kudla John J. Millson	27
+ PDF Chat	None	2003	Stephen S. Kudla	27
+	Algebraic cycles on Shimura varieties of orthogonal type	1997	Stephen S. Kudla	24
+	Heegner points and derivatives ofL-series. II	1987	Benedict H. Gross Winfried Kohnen Don Zagier	20
+ PDF Chat	Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus	1976	Friedrich Hirzebruch Don Zagier	20
+	Heegner points and derivatives ofL-series	1986	Benedict H. Gross Don Zagier	20
+ PDF Chat	The Selberg Trace Formula for PSL(2,ℝ)	1983	Dennis A. Hejhal	19
+	The theta correspondence and harmonic forms. I	1986	Stephen S. Kudla John J. Millson	18
+ PDF Chat	Borcherds products and arithmetic intersection theory on Hilbert modular surfaces	2007	Jan Hendrik Bruinier José Ignacio Burgos Gil Ulf Kühn	17
+	Pocketbook of mathematical functions	1984	Abramouitz I. A. Stegun Milton Abramowitz	17
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura	17
+	The rationality of vector valued modular forms associated with the Weil representation	2003	William McGraw	16
+ PDF Chat	None	2002	Jens Funke	16
+ PDF Chat	Heegner divisors,<i>L</i>-functions and harmonic weak Maass forms	2010	Jan Hendrik Bruinier Ken Ono	15
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	15
+	None	2003	Jan Hendrik Bruinier Ulf Kühn	15
+	Traces of singular moduli	2002	Don Zagier	14
+ PDF Chat	Automorphic Green Functions Associated with the Secondary Spherical Functions	2003	Takayuki Oda Masao Tsuzuki	14
+ PDF Chat	On Borcherds Products Associated with Lattices of Prime Discriminant	2003	Jan Hendrik Bruinier Michael Bundschuh	14
+	Jacobi forms and a certain space of modular forms	1988	Nils-Peter Skoruppa Don Zagier	13
+	Borcherds products and Chern classes of Hirzebruch-Zagier divisors	1999	Jan Hendrik Bruinier	13
+ PDF Chat	Borcherds forms and generalizations of singular moduli	2009	Jarad Schofer	12
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke	12
+	Heegner points, cycles and Maass forms	1993	Svetlana Katok Peter Sarnak	12
+	Hilbert Modular Surfaces	1987	Gerard van der Geer	12
+ PDF Chat	Faltings heights of CM cycles and derivatives of L-functions	2009	Jan Hendrik Bruinier Tonghai Yang	12
+ PDF Chat	Special Cycles and Derivatives of Eisenstein Series	2004	Stephen S. Kudla	12
+ PDF Chat	COHOMOLOGICAL ARITHMETIC CHOW RINGS	2006	José Ignacio Burgos Gil J. Kramer Ulf Kühn	12
+	Mock Theta Functions	2002	Sander Zwegers	11
+ PDF Chat	Local Borcherds products	2001	Jan Hendrik Bruinier Eberhard Freitag	11
+ PDF Chat	Dyson’s ranks and Maass forms	2010	Kathrin Bringmann Ken Ono	11
+	Values ofL-series of modular forms at the center of the critical strip	1981	Winfried Kohnen Don Zagier	11
+	Traces of CM values of modular functions	2006	Jan Hendrik Bruinier Jens Funke	10
+	Automorphic forms onO s +2,2(R) and infinite products	1995	Richard E. Borcherds	10
+	None	1999	Stephen S. Kudla Michael Rapoport Tonghai Yang	10
+	On the Weil-Siegel formula.	1988	Stephen S. Kudla Stephen Rallis	10
+	Eisenstein series attached to lattices¶and modular forms on orthogonal groups	2001	Jan Hendrik Bruinier Michael Kuß	9
+ PDF Chat	Arithmetic intersection theory	1990	Henri Gillet Christophe Soulé	9
+	AUTOMORPHIC FORMS AND LORENTZIAN KAC–MOODY ALGEBRAS PART I	1998	Valeri A. Gritsenko Viacheslav V. Nikulin	9
+	Modular forms associated to real quadratic fields	1975	Don Zagier	9
+	Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlk�rpersQ ( $$\sqrt 5 $$ )	1963	Karl-Bernhard Gundlach	9
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono	9
+	Lectures on Arakelov Geometry	1992	Christophe Soulé Dan Abramovich Jean-François Burnol J. Kramer	8
+	Fourier coefficients of Eisenstein series on non-congruence subgroups	1986	A. J. Scholl	8