The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2

Siegfried Böcherer, Rainer Schulze‐Pillot

Type: Article

Publication Date: 1992-01-01

Citations: 29

DOI: https://doi.org/10.1007/bf02570834

View Publication

Locations

Mathematische Zeitschrift - View

Similar Works

Action	Title	Year	Authors
+	Dirichlet Series of Modular Forms	2008	Anatoli Andrianov
+	Chapter 4 Modular Forms and Dirichlet Series	1997	M. Ram Murty V. Kumar Murty
+	Modular forms and Dirichlet series	1969	A. P. Ogg
+	Dirichlet series of 3 variables and Koecher-Maass series of non-holomorphic Siegel-Eisenstein series (Modular forms and automorphic representations)	2015	義紀水野
+	Dirichlet series corresponding to modular forms	1971	Hans Maaß
+ PDF Chat	Siegel's Modular Forms and Dirichlet Series	1971	Hans Maaß
+ PDF Chat	A Dirichlet series for modular forms of degree n	1991	Aloys Krieg
+ PDF Chat	A Dirichlet series for Hermitian modular forms of degree 2	1991	S. Raghavan Jyoti Sengupta
+	Dirichlet series corresponding to Siegel's modular forms	1978	Tsuneo Arakawa
+	Modular Forms for Γ 0 (N) and Dirichlet Series	1977	Michael J. Razar
+	Dirichlet series associated to Modular forms	1990	C. S. Yogananda
+	Elementary Dirichlet series and modular forms	2007	五郎志村
+	Preliminaries on Modular Forms and Dirichlet Series	2007
+	A certain Dirichlet series attached to Siegel modular forms of degree two	1989	Winfried Kohnen Nils-Peter Skoruppa
+	Dirichlet Series and Modular Forms	2017	Ranjan Roy
+ PDF Chat	Dirichlet series corresponding to Siegel's modular forms of degree $n$ with level $N$	1990	Tsuneo Arakawa
+	Hilbert Modular Forms of Weight 1/2	2005	Sever Achimescu
+	Theta series and modular forms of level $p^2M$	1980	Arnold Pizer
+	On certain modular functions derived from modular forms of weight 1/2 (Automorphic Forms and their Dirichlet series)	2002	Taro Horie Naruo Kanou
+	Siegel modular forms and theta series	1989	Siegfried Böcherer

Works That Cite This (29)

Action	Title	Year	Authors
+	Fourier expansion of Arakawa lifting I: An explicit formula and examples of non-vanishing lifts	2011	Atsushi Murase Hiro-aki Narita
+	The critical order of vanishing of automorphicL-functions with large level	1995	William Duke
+ PDF Chat	Refined global Gan–Gross–Prasad conjecture for Bessel periods	2014	Yifeng Liu
+	Vanishing of certain spaces of elliptic modular forms and some applications	2003	Tsuneo Arakawa Siegfried Böcherer
+ PDF Chat	EFFICIENTLY GENERATED SPACES OF CLASSICAL SIEGEL MODULAR FORMS AND THE BÖCHERER CONJECTURE	2010	Martin Raum
+ 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
+	Shimura correspondence for level <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>p</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> and the central values of L-series	2006	Ariel Pacetti Gonzalo Tornaría
+ PDF Chat	Variance Estimates in Linnik’s Problem	2022	Andrei Shubin
+ PDF Chat	Eisenstein series on four-dimensional hyperbolic space	1994	Valeri A. Gritsenko Rainer Schulze‐Pillot
+ PDF Chat	𝐿-series and modular forms of half-integral weight	1994	Rhonda L. Hatcher

Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	Arithmétique des Algèbres de Quaternions	1980	Marie-France Vignéras
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger
+ PDF Chat	Ternary quadratic forms and Shimura’s correspondence	1981	Paul Ponomarev
+ PDF Chat	Siegel modular forms and theta series attached to quaternion algebras	1991	Siegfried Böcherer Rainer Schulze‐Pillot
+ PDF Chat	Ternary quadratic forms and Brandt matrices	1986	Rainer Schulze‐Pillot
+	The basis problem for modular forms on Γ₀(𝑁)	1989	Hiroaki Hijikata Arnold Pizer Thomas R. Shemanske
+	ANALYTIC PROPERTIES OF EULER PRODUCTS FOR CONGRUENCE-SUBGROUPS OF Sp<sub>2</sub>(<b>Z</b>)	1981	С. А. Евдокимов
+	EULER PRODUCTS CORRESPONDING TO SIEGEL MODULAR FORMS OF GENUS 2	1974	Anatoli Andrianov
+	Engendrement par des s�ries th�ta de certains espaces de formes modulaires	1978	J-L. Waldspurger
+	On a theorem of Waldspurger and on Eisenstein series of Klingen type	1990	Siegfried Böcherer Rainer Schulze‐Pillot