SU\G(𝔸)/K·U

Theta series and automorphic forms on $GL_{\eta}$

Hideo Shimizu

Type: Article

Publication Date: 1972-10-01

Citations: 84

DOI: https://doi.org/10.2969/jmsj/02440638

Locations

  • Journal of the Mathematical Society of Japan - View - PDF

Similar Works

Action Title Year Authors
+ Theta series and construction of automorphic forms 1993 Jianshu Li
+ PDF Chat Automorphic forms and the theta correspondence 2024
+ Automorphic Forms and Zeta Functions 2006
+ Automorphic forms and eichler cohomology 1974 Frederick P. Gardiner
+ Automorphic functions on SL(m,ℝ) 1985 N. V. Proskurin
+ Automorphic forms on GL(2) 1984 Daniel Bump
+ PDF Chat Automorphic Forms on GL (2) 1970 H. Jacquet
R. P. Langlands
+ On the automorphic theta representation for simply laced groups 1997 David Ginzburg
Stephen Rallis
David Soudry
+ PDF Chat Automorphic Forms on GL (3,ℝ) 1984 Daniel Bump
+ Automorphic forms and representations of Adele groups 1975 Stephen Gelbart
+ The Theta Correspondence and Periods of Automorphic Forms 2014 Patrick Walls
+ Automorphic Forms and Hecke Operators 2019 Gaëtan Chenevier
Jean Lannes
+ Automorphic Forms and General Teichmüller Spaces 1965 Lipman Bers
+ Automorphic Forms, Eisenstein Series and Spectral Decompositions 2006 Lin Weng
+ L-series of automorphic forms on GL(3,R) 1989 Jeffrey Hoffstein
M. Ram Murty
+ Archimedean Shintani functions on $GL(2)$ (Automorphic Forms and $L$-Functions) 1999 幹 平野
+ Archimedean Shintani functions on $GL(2)$ (Automorphic Forms and $L$-Functions) 1999 Miki Hirano
+ Eisenstein Series and Automorphic 𝐿-Functions 2010 Freydoon Shahidi
+ Representation of automorphic forms as lacunary series and Blaschke products 2009 N. N. Garif’yanov
+ Twisted exterior square $L$-functions and Shalika periods on GU(2, 2) (Automorphic forms, automorphic representations and related topics) 2010 和輝 森本

Works That Cite This (84)

Action Title Year Authors
+ Représentations de Weil pour les groupes de similitudes et changement de base 2012 Chun H. Wang
+ PDF Chat Pullbacks of Saito-Kurokawa Lifts and a Central Value Formula for Degree 6 $L$-Series 2019 Aprameyo Pal
Carlos de Vera‐Piquero
+ Superspecial abelian varieties, theta series and the Jacquet-Langlands correspondence 2005 Marc-Hubert Nicole
+ On Maass lifts and the central critical values of triple product L -functions 2008 Atsushi Ichino
Tamotsu Ikeda
+ PDF Chat The nonarchimedean theta correspondence for $\mathrm {GSp}(2)$ and $\mathrm {GO}(4)$ 1999 Brooks Roberts
+ PDF Chat Schwarzian differential equations and Hecke eigenforms on Shimura curves 2012 Yifan Yang
+ Siegel's modular forms and the arithmetic of quadratic forms 1980 Hiroyuki Yoshida
+ Evaluating modular forms on Shimura curves 2012 Paul D. Nelson
+ PDF Chat Quaternionic loci in Siegel’s modular threefold 2019 Yi‐Hsuan Lin
Yifan Yang
+ Central values of L-functions over CM fields 2006 Hui Xue

Works Cited by This (8)

Action Title Year Authors
+ On irreducible unitary representations of some special linear groups of the second order. I 1966 S. Tanaka
+ PDF Chat A theory of spherical functions. I 1952 Roger Godement
+ On Dirichlet Series and Abelian Varieties Attached to Automorphic Forms 1962 Goro Shimura
+ On Zeta Functions of Quaternion Algebras 1965 Hideo Shimizu
+ On Automorphic Forms on GL 2 and Hecke Operators 1971 Toshitsune Miyake
+ On an Explicit Construction of a Certain Class of Automorphic Forms 1969 J. A. Shalika
S. Tanaka
+ Über die Darstellbarkeit von Modulformen durch Thetareihen. 1955 Martin Eichler
+ PDF Chat A Theory of Spherical Functions. I 1952 Roger Godement