previous :: next
On Kaufhold’s Whittaker functions
Shinji Niwa
Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 88, Number 7
(2012), 103-108.
Abstract
In this papr we give an integral representation for a Whittaker function of an non holomorphic Eisenstein series which is a non holomorphic Sigel modular form of degree 2. Our integral representation is very useful to the theory of the theta lifting of automorphic forms.
First Page:
Show
Hide
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pja/1341579088
Digital Object Identifier: doi:10.3792/pjaa.88.103
Mathematical Reviews number (MathSciNet): MR2946857
Zentralblatt MATH identifier: 06126091
References
W. N. Bailey, Generalized hypergeometric series, Cambridge Tracts in Mathematics and Mathematical Physics, No. 32, Stechert-Hafner, Inc., New York, 1964.
Mathematical Reviews (MathSciNet): MR185155
I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products, translated from the Russian, translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger, seventh edition, Elsevier/Academic Press, Amsterdam, 2007.
Mathematical Reviews (MathSciNet): MR2360010
C. S. Herz, Bessel functions of matrix argument, Ann. of Math. (2) 61 (1955), 474–523.
Mathematical Reviews (MathSciNet): MR69960
Zentralblatt MATH: 0066.32002
Digital Object Identifier: doi:10.2307/1969810
G. Kaufhold, Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. Grades, Math. Ann. 137 (1959), 454–476.
Mathematical Reviews (MathSciNet): MR121485
Zentralblatt MATH: 0086.06701
Digital Object Identifier: doi:10.1007/BF01360845
S. Niwa, On generalized Whittaker functions on Siegel's upper half space of degree 2, Nagoya Math. J. 121 (1991), 171–184.
Mathematical Reviews (MathSciNet): MR1096473
Zentralblatt MATH: 0724.11027
Project Euclid: euclid.nmj/1118782787
G. Shimura, Confluent hypergeometric functions on tube domains, Math. Ann. 260 (1982), no. 3, 269–302.
Mathematical Reviews (MathSciNet): MR669297
Zentralblatt MATH: 0502.10013
Digital Object Identifier: doi:10.1007/BF01461465
previous :: next
Proceedings of the Japan Academy, Series A, Mathematical Sciences