Rainer Schulze‐Pillot

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All published works

Action	Title	Year	Authors
+ PDF	On the analytic theory of isotropic ternary quadratic forms	2023	William Duke Rainer Schulze‐Pillot
+ PDF Chat	Paramodular groups and theta series	2023	Siegfried Böcherer Rainer Schulze‐Pillot
+ PDF	Fourier coefficients of Siegel cusp forms and genera of quadratic forms	2023	Winfried Kohnen Rainer Schulze‐Pillot
+	Lecture Notes on Quadratic Forms and their Arithmetic	2020	Rainer Schulze‐Pillot
+	Paramodular groups and theta series	2020	Siegfried Böcherer Rainer Schulze‐Pillot
+	Lecture Notes on Quadratic Forms and their Arithmetic	2020	Rainer Schulze‐Pillot
+ PDF Chat	Common hyperbolic bases for chains of alternating or quadratic lattices	2019	Rainer Schulze‐Pillot
+ PDF Chat	Petersson products of bases of spaces of cusp forms and estimates for Fourier coefficients	2018	Rainer Schulze‐Pillot Abdullah Yenirce
+	Restricted sums of four integral squares	2017	Rainer Schulze‐Pillot
+	A decomposition of the Fourier-Jacobi coefficients of Klingen Eisenstein series	2017	Thorsten Paul Rainer Schulze‐Pillot
+ PDF Chat	Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables	2016	Rainer Schulze‐Pillot
+ PDF Chat	Some congruences for Siegel theta series	2015	Rainer Schulze‐Pillot
+	Some congruences for Siegel theta series	2014	Rainer Schulze‐Pillot
+	Prime Restklassengruppe und quadratische Reste	2014	Rainer Schulze‐Pillot
+	Faktorisierung von Polynomen	2014	Rainer Schulze‐Pillot
+	Teilbarkeit und Primzahlen	2014	Rainer Schulze‐Pillot
+	Einführung in Algebra und Zahlentheorie	2014	Rainer Schulze‐Pillot
+	Kongruenzen und Ideale	2014	Rainer Schulze‐Pillot
+	Natürliche und ganze Zahlen	2014	Rainer Schulze‐Pillot
+	Ergänzung: Galoistheorie	2014	Rainer Schulze‐Pillot
+ PDF Chat	Weakly holomorphic modular forms for some moonshine groups	2014	Martina Lahr Rainer Schulze‐Pillot
+	Weakly holomorphic modular forms for some moonshine groups	2014	Martina Lahr Rainer Schulze‐Pillot
+	Weakly holomorphic modular forms for some moonshine groups	2014	Martina Lahr Rainer Schulze‐Pillot
+	Some congruences for Siegel theta series	2014	Rainer Schulze‐Pillot
+	Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms	2013	Wai Kiu Chan Lenny Fukshansky Rainer Schulze‐Pillot Jeffrey D. Vaaler
+	Diophantine methods, lattices, and arithmetic theory of quadratic forms : international workshop, Banff International Research Station, November 13-18, 2011, Banff, Alberta, Canada	2013	Wai Kiu Chan Lenny Fukshansky Rainer Schulze‐Pillot Jeffrey D. Vaaler
+	Representation of Quadratic Forms by Integral Quadratic Forms	2013	Rainer Schulze‐Pillot
+	Yoshida lifts and Selmer groups	2012	Siegfried Böcherer Neil Dummigan Rainer Schulze‐Pillot
+	Representation on Average of Binary Quadratic Forms by an Integral Quaternary Quadratic Form	2012	Rainer Schulze‐Pillot
+	Weak Maaß forms and $({\mathfrak{g}},K)$ -modules	2011	Rainer Schulze‐Pillot
+	Weak Maaß forms and (g ,K )-modules	2011	Rainer Schulze‐Pillot
+	Yoshida lifts and Selmer groups	2010	Siegfried Böcherer Neil Dummigan Rainer Schulze‐Pillot
+	Yoshida lifts and Selmer groups	2010	Siegfried Böcherer Neil Dummigan Rainer Schulze‐Pillot
+ PDF	Felix Krull und der Impact Factor	2009	Rainer Schulze‐Pillot
+	Quadratic Forms—Algebra, Arithmetic, and Geometry	2009	Ricardo Baeza Wai Kiu Chan Detlev W. Hoffmann Rainer Schulze‐Pillot
+ PDF Chat	Local conditions for global representations of quadratic forms	2009	Rainer Schulze‐Pillot
+	Local theta correspondence and the lifting of Duke, Imamoglu and Ikeda	2008	Rainer Schulze‐Pillot
+	On the basis problem for Siegel modular forms with level	2008	Siegfried Böcherer Hidenori Katsurada Rainer Schulze‐Pillot
+	Local theta correspondence and the lifting of Duke, Imamoglu and Ikeda	2008	Rainer Schulze‐Pillot
+ PDF Chat	Generalised form of a conjecture of Jacquet and a local consequence	2008	Dipendra Prasad Rainer Schulze‐Pillot
+ PDF	Gemeinsame Aktivitäten von Universitäten und Schulen im Jahr der Mathematik	2007	W.A.P. Luck Rainer Schulze‐Pillot
+ PDF Chat	GENUS THETA SERIES, HECKE OPERATORS AND THE BASIS PROBLEM FOR EISENSTEIN SERIES	2006	Hidenori Katsurada Rainer Schulze‐Pillot
+	Generalised form of a conjecture of Jacquet and a local consequence	2006	Dipendra Prasad Rainer Schulze‐Pillot
+	Genus theta series, Hecke operators and the basis problem for Eisenstein series	2005	Hidenori Katsurada Rainer Schulze‐Pillot
+ PDF	Representation by integral quadratic forms—a survey	2004	Rainer Schulze‐Pillot
+	Representations by spinor genera of ternary quadratic forms	2004	Rainer Schulze‐Pillot Fei Xu
+ PDF Chat	Arithmetic and Equidistribution of Measures on the Sphere	2003	Siegfried Böcherer Peter Sarnak Rainer Schulze‐Pillot
+	Representation by spinor genera of ternary quadratic forms	2003	Rainer Schulze‐Pillot Fei Xu
+	Representation by integral quadratic forms - a survey	2003	Rainer Schulze‐Pillot
+	On the global Gross-Prasad conjecture for Yoshida liftings	2002	Siegfried Böcherer Masaaki Furusawa Rainer Schulze‐Pillot
+	On explicit versions of Tartakovski's theorem	2001	Rainer Schulze‐Pillot
+	On the global Gross-Prased conjecture for Yoshida liftings	2001	Siegfried Böcherer Masaaki Furusawa Rainer Schulze‐Pillot
+	Exceptional integers for genera of integral ternary positive definite quadratic forms	2000	Rainer Schulze‐Pillot
+	Trace Operator and Theta Series	1999	Siegfried Böcherer Jens Funke Rainer Schulze‐Pillot
+	Squares of Automorphic Forms on Quaternion Algebras and Central Values ofL-Functions of Modular Forms	1999	Siegfried Böcherer Rainer Schulze‐Pillot
+	Integral Quadratic Forms and Lattices	1999	Myung-Hwan Kim J. S. Hsia Yoshiyuki Kitaoka Rainer Schulze‐Pillot
+	Siegel Modular Forms Having the Same L-Functions	1999	Rainer Schulze‐Pillot
+	Squares of automorphic forms on quaternion algebras	1999	Siegfried Böcherer Rainer Schulze‐Pillot
+	Theta series of modular, extremal, and Hermitian lattices	1999	Rudolf Scharlau Alexander Schiemann Rainer Schulze‐Pillot
+	Extremal Lattices	1999	Rudolf Scharlau Rainer Schulze‐Pillot
+ PDF	Siegel modular forms and theta series attached to quaternion algebras II	1997	Siegfried Böcherer Rainer Schulze‐Pillot
+	Siegel modular forms and theta series attached to quaternion algebras. II, With errata to: "Siegel modular forms and theta series attached to quaternion algebras''	1997	Siegfried Böcherer Rainer Schulze‐Pillot
+ PDF Chat	On the Central Critical Value of the Triple Product L–Function	1996	Siegfried Böcherer Rainer Schulze‐Pillot
+	On the central critical value of the triple product L-function	1995	Siegfried Böcherer Rainer Schulze‐Pillot
+ PDF	Bessel functionals and Siegel modular forms	1995	Rainer Schulze‐Pillot
+	On the central critical value of the triple product L-function	1995	Siegfried Böcherer Rainer Schulze‐Pillot
+	Siegel Modular Forms and Theta Series attached to quaternion algebras II	1995	Siegfried Böcherer Rainer Schulze‐Pillot
+	Vector valued theta series and waldspurger’s theorem	1994	Siegfried Böcherer Rainer Schulze‐Pillot
+	On Whittaker coefficients of some metaplectic forms	1994	Siegfried Böcherer Masaaki Furusawa Rainer Schulze‐Pillot
+ PDF	Eisenstein series on four-dimensional hyperbolic space	1994	Valeri A. Gritsenko Rainer Schulze‐Pillot
+	Mellin Transforms of Vector Valued Theta Series Attached to Quaternion Algebras	1994	Siegfried Böcherer Rainer Schulze‐Pillot
+	Quadratic residue codes and cyclotomic lattices	1993	Rainer Schulze‐Pillot
+	The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2	1992	Siegfried Böcherer Rainer Schulze‐Pillot
+	An algorithm for computing genera of ternary and quaternary quadratic forms	1991	Rainer Schulze‐Pillot
+ PDF	Siegel modular forms and theta series attached to quaternion algebras	1991	Siegfried Böcherer Rainer Schulze‐Pillot
+	Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids	1990	William Duke Rainer Schulze‐Pillot
+	On a theorem of Waldspurger and on Eisenstein series of Klingen type	1990	Siegfried Böcherer Rainer Schulze‐Pillot
+	Theta series of degree 2 of quaternary quadratic forms	1989	Rainer Schulze‐Pillot
+	SIEGEL MODULAR FORMS AND QUATERNION ALGEBRAS : On a construction of H. Yoshida	1989	Siegfried Böcherer Rainer Schulze‐Pillot
+	A linear relation between theta series of degree and weight 2	1989	Rainer Schulze‐Pillot
+ PDF	Ternary quadratic forms and Brandt matrices	1986	Rainer Schulze‐Pillot
+ PDF	Linear spaces on the intersection of cubic hypersurfaces	1984	D. J. Lewis Rainer Schulze‐Pillot
+	Darstellungsmaße von Spinorgeschlechtern ternärer quadratischer Formen.	1984	Rainer Schulze‐Pillot
+	Thetareihen positiv definiter quadratischer Formen	1984	Rainer Schulze‐Pillot
+	Small linearly independent zeros of quadratic forms	1983	Rainer Schulze‐Pillot
+	Darstellung durch definite ternäre quadratische Formen	1982	Rainer Schulze‐Pillot
+	Remark on a note of Hsia about classification of unimodular lattices	1982	Rainer Schulze‐Pillot
+	Darstellung durch Spinorgeschlechter ternärer quadratischer formen	1980	Rainer Schulze‐Pillot

Common Coauthors

Coauthor	Papers Together
Siegfried Böcherer	25
Martina Lahr	3
Masaaki Furusawa	3
Wai Kiu Chan	3
Hidenori Katsurada	3
Neil Dummigan	3
Rudolf Scharlau	2
Jeffrey D. Vaaler	2
Lenny Fukshansky	2
William Duke	2
Dipendra Prasad	2
Alexander Schiemann	1
Fei Xu	1
Peter Sarnak	1
Valeri A. Gritsenko	1
Jens Funke	1
J. S. Hsia	1
D. J. Lewis	1
W.A.P. Luck	1
Myung‐Hwan Kim	1
Ricardo Baeza	1
Fei Xu	1
Detlev W. Hoffmann	1
Thorsten Paul	1
Winfried Kohnen	1
Yoshiyuki Kitaoka	1
Abdullah Yenirce	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Siegel modular forms and theta series attached to quaternion algebras	1991	Siegfried Böcherer Rainer Schulze‐Pillot	18
+	The Basis Problem for Modular Forms and the Traces of the Hecke Operators	1973	Martin Eichler	12
+	Quadratische Formen und orthogonale Gruppen	1974	Martin Eichler	12
+	Mellin Transforms of Vector Valued Theta Series Attached to Quaternion Algebras	1994	Siegfried Böcherer Rainer Schulze‐Pillot	11
+	Siegel's modular forms and the arithmetic of quadratic forms	1980	Hiroyuki Yoshida	11
+	Introduction to Quadratic Forms	1973	O. T. O’Meara	10
+	Quadratische Formen und Orthogonale Gruppen	1952	Martin Eichler	10
+ PDF	Theta series and automorphic forms on $GL_{\eta}$	1972	Hideo Shimizu	9
+ PDF	Representations by spinor genera	1976	J. S. Hsia	9
+	On the Segal-Shale-Weil representations and harmonic polynomials	1978	Masaki Kashiwara Michèle Vergne	8
+ PDF	Spinor norms of local integral rotations. I	1975	J. S. Hsia	8
+	The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2	1992	Siegfried Böcherer Rainer Schulze‐Pillot	8
+	Arithmetic of Quadratic Forms	1993	Yoshiyuki Kitaoka	8
+	On Siegel modular forms obtained form theta series.	1984	Hiroyuki Yoshida	7
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura	7
+	Quadratic Forms and Hecke Operators	1987	Anatolij N. Andrianov	7
+ PDF	Siegel's Modular Forms and Dirichlet Series	1971	Hans Maaß	7
+	Heights and the central critical values of triple product $L$ -functions	1992	Benedict H. Gross Stephen S. Kudla	6
+	On the Pullback of a Differential Operator and Its Application to Vector Valued Eisenstein Series	1992	Siegfried Böcherer Takakazu Satoh Tadashi Yamazaki	6
+	�ber die Fourier-Jacobi-Entwicklung Siegelscher Eisensteinreihen	1983	Siegfried B�cherer	6
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger	6
+	On a theorem of Waldspurger and on Eisenstein series of Klingen type	1990	Siegfried Böcherer Rainer Schulze‐Pillot	6
+ PDF	Newforms of half-integral weight.	1982	Winfried Kohnen	5
+	Some examples of automorphic forms on Sp4	1983	Roger Howe Ilya Piatetski-Shapiro	5
+	Decomposition of Eisenstein Series: Rankin Triple Products	1987	Paul Garrett	5
+	Uber Die Analytische Theorie Der Quadratischen Formen III	1937	Carl Ludwig Siegel	5
+	Siegel modular forms and theta series	1989	Siegfried Böcherer	5
+ PDF	Singular Modular Forms and Theta Relations	1991	Eberhard Freitag	5
+	On the local theta-correspondence	1986	Stephen S. Kudla	5
+	Correspondances de Shimura et quaternions	1991	Jean-Loup Waldspurger	5
+	On the central critical value of the triple product L-function	1995	Siegfried Böcherer Rainer Schulze‐Pillot	5
+	Action of the irregular Hecke operator of index p on the theta-series of a quadratic form	1987	С. А. Евдокимов	5
+	Rational Quadratic Forms	1982	J. W. S. Cassels	5
+	Darstellung durch definite ternäre quadratische Formen	1982	Rainer Schulze‐Pillot	5
+	Thetareihen positiv definiter quadratischer Formen	1984	Rainer Schulze‐Pillot	5
+	Langlands' Functoriality and the Weil Representation	1982	Stephen Rallis	5
+	Fourier coefficients of modular forms of half-integral weight	1985	Winfried Kohnen	5
+	Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids	1990	William Duke Rainer Schulze‐Pillot	5
+	Introductory Lectures on Siegel Modular Forms	1990	Helmut Klingen	5
+ PDF	Spinor norms of local integral rotations. II	1975	A. G. Earnest J. S. Hsia	5
+ PDF	Vector valued Siegel modular forms and their <i>L</i>-functions; Application of a differential operator	1993	Hideshi Takayanagi	4
+	Darstellungsmaße von Spinorgeschlechtern ternärer quadratischer Formen.	1984	Rainer Schulze‐Pillot	4
+ PDF	Ternary quadratic forms and Brandt matrices	1986	Rainer Schulze‐Pillot	4
+	Primitive Representations by Spinor Genera of Ternary Quadratic Forms	1994	A. G. Earnest J. S. Hsia Chi-Hsiou Daniel Hung	4
+	Vector valued theta series and waldspurger’s theorem	1994	Siegfried Böcherer Rainer Schulze‐Pillot	4
+	On Differential Operators on Automorphic Forms and Invariant Pluri-harmonic Polynomials	1999	Tomoyoshi Ibukiyama	4
+ PDF Chat	Local-global principles for representations of quadratic forms	2007	Jordan S. Ellenberg Akshay Venkatesh	4
+ PDF	Ternary quadratic forms and Shimura’s correspondence	1981	Paul Ponomarev	4
+	Darstellung durch Spinorgeschlechter ternärer quadratischer formen	1980	Rainer Schulze‐Pillot	4
+	The Central Critical Value of a Triple Product L-Function	1991	Michael Harris Stephen S. Kudla	4