SU\G(𝔸)/K·U

On an explicit formula for class-$1$ “Whittaker functions” on $GL_n $ over $\beta $-adic fields

Takuro Shintani

Type: Article

Publication Date: 1976-01-01

Citations: 80

DOI: https://doi.org/10.3792/pja/1195518347

Locations

  • Proceedings of the Japan Academy Series A Mathematical Sciences - View - PDF

Similar Works

Action Title Year Authors
+ On explicit integral formulas for GL(n,ℝ)-Whittaker functions 1990 Eric Stade
+ Explicit formulas for Whittaker functions on classical groups 2010 Taku Ishii
+ On an explicit formula for Whittaker-Shintani functions on Sp2 1991 Atsushi Murase
+ On Artin-Verdier duality for function fields 1984 Christopher Deninger
+ Lectures on p-adic L-functions 1972 Kenkichi Iwasawa
+ On towers of function fields of Artin-Schreier type 2004 Peter Beelen
Arnaldo Garcia
Henning Stichtenoth
+ On l-Adic Zeta Functions 1973 J. Coates
Stephen Lichtenbaum
+ ON SIEGEL-EISENSTEIN SERIES OF DEGREE 2 FOR LOW WEIGHTS (Automorphic representations, automorphic $L$-functions and arithmetic) 2009 Keiichi Gunji
+ ON SIEGEL-EISENSTEIN SERIES OF DEGREE 2 FOR LOW WEIGHTS (Automorphic representations, automorphic $L$-functions and arithmetic) 2009 圭一 軍司
+ PDF Chat On special values at integers of L-functions of Jacobi theta products of weight 3 2020 Ryojun Ito
+ On generating large classes of Sheffer functions 1978 Ivo G. Rosenberg
+ PDF Chat Constructible Sheaves Associated to Whittaker Functions 2018 Tomohide Terasoma
+ Multiple Hecke series for class-1 Whittaker functions on GL(n) over p-adic fields 1990 Takayuki Oda
+ On localizations of the characteristic classes of ℓ-adic sheaves and conductor formula in characteristic p > 0 2010 Takahiro Tsushima
+ $\pi$-adic Eisenstein series for function fields 1980 David Goss
+ On p-adic L-functions for ${\rm GL}(n)\times{\rm GL}(n-1)$ over totally real fields 2011 Fabian Januszewski
+ On p-adic L-functions for ${\rm GL}(n)\times{\rm GL}(n-1)$ over totally real fields 2011 Fabian Januszewski
+ $p$-adic Siegel Eisenstein series of degree $n$ (Automorphic forms and automorphic L-functions) 2013 Sho Takemori
+ EXPLICIT FORMULAS OF PRINCIPAL SERIES WHITTAKER FUNCTIONS ON $Sp$(2, R) (Diophantine Problems and Analytic Number Theory) 2003 卓 石井
+ L-functions for GL(n) 1979 Helen Strassberg

Works That Cite This (82)

Action Title Year Authors
+ The unramified computation of Rankin-Selberg integrals for SO 2l × GL n 2011 Eyal Kaplan
+ PDF Chat Applications of analytic newvectors for $$\mathrm {GL}(n)$$ 2021 Subhajit Jana
+ Correspondance de Langlands géométrique pour les corps de fonctions 1987 Gérard Laumon
+ Essential Whittaker functions for GL(n) 2012 Nadir Matringe
+ PDF Chat Baxter Operator and Archimedean Hecke Algebra 2008 A. Gerasimov
D. V. Lebedev
Sergey Oblezin
+ PDF Chat On a Classical Limit of q-Deformed Whittaker Functions 2012 A. Gerasimov
Dimitri Lebedev
Sergey Oblezin
+ The symmetric-squareL-function attached to a cuspidal automorphic representation ofGL 3 1989 S. J. Patterson
Ilya Piatetski-Shapiro
+ On the symmetric fourth powerL-function of GL2 1995 David Ginzburg
+ PDF Chat Whittaker functions associated to newforms for $GL(n)$ over $p$-adic fields 2014 Michitaka Miyauchi
+ PDF Chat On a conjecture about an analogue of Tokuyama’s theorem for $$G_2$$ 2019 Mario DeFranco

Works Cited by This (4)

Action Title Year Authors
+ PDF Chat On some bruhat decomposition and the structure of the hecke rings of p-Adic chevalley groups 1965 Nagayoshi Iwahori
Hisatake Matsumoto
+ The Multiplicity One Theorem for GL n 1974 J. A. Shalika
+ PDF Chat Fonctions de Whittaker associées aux groupes de Chevalley 1967 Hervé Jacquet
+ On the ζ-Functions of a Division Algebra 1963 Tsuneo Tamagawa