Confluent hypergeometric functions on tube domains

Keywords

Mathematics, Hypergeometric function, Tube (container), Generalized hypergeometric function, Confluent hypergeometric function

References

• On the Holomorphy of Certain Dirichlet SeriesGoro Shimura — 1975
• Über Thetareihen indefiniter quadratischer FormeMax Koecher — 1953
• Über die Zetafunktionen indefiniter quadratischer FormenCarl Ludwig Siegel — 1938
• Dirichletsche Reihe mit Funktionalgleichung in der Theorie der Modulfunktion 2. GradesG�nter Kaufhold — 1959
• Fonctions de Whittaker associées aux groupes de ChevalleyHervé Jacquet — 1967
• Uber Die Analytische Theorie Der Quadratischen Formen IIICarl Ludwig Siegel — 1935
• Siegel's Modular Forms and Dirichlet SeriesHans Maaß — 1971
• Uber Die Analytische Theorie Der Quadratischen FormenCarl Ludwig Siegel — 1935

Cited by

• Ap-adic measure attached to the zeta functions associated with two elliptic modular forms. IHaruzo Hida — 1985
• Derivatives of Eisenstein series and generating functions for arithmetic cyclesStephen S. Kudla — 2000
• p-adic L-functions for GSp(4) x GL (2).Mahesh Agarwal — 2007
• On Qab‐rationality of Eisenstein series of weight 3/2Toshitsune Miyake — 1989
• ON CONFLUENT HYPERGEOMETRIC FUNCTIONS AND REAL ANALYTIC SIEGEL MODULAR FORMS OF DEGREE 2 (Automorphic Representations and Related Topics)Takuya Miyazaki — 2013
• Differential Euler systems associated to modular forms (1) (Algebraic Number Theory and Related Topics 2011)Masao Ooi — 2013
• p-ADIC SIEGEL-EISENSTEIN SERIES OF DEGREE TWO (Automorphic forms, trace formulas and zeta functions)翔 竹森 — 2011
• Generalizations of the Lerch zeta function.Hieu T. Ngo — 2014
• SOBM - a binary mask for noisy speech that optimises an objective intelligibility metricLeo Lightburn, Mike Brookes — 2015
• Dirichlet series in the theory of Siegel modular formsYoshiyuki Kitaoka — 1984
• APPROXIMATION OF HYPERGEOMETRIC FUNCTIONS WITH MATRICIAL ARGUMENT THROUGH THEIR DEVELOPMENT IN SERIES OF ZONAL POLYNOMIALSRodrigo Gutiérrez, J. Rodríguez, Antonio José Sáez-Castillo — 2000
• On generalized Whittaker functions on Siegel’s upper half space of degree 2Shinji Niwa — 1991
• Absolute CM-periodsHiroyuki Yoshida — 1996
• Siegel modular forms and theta series attached to quaternion algebrasSiegfried Böcherer, Rainer Schulze‐Pillot — 1991
• Saito–Kurokawa lifts and applications to the Bloch–Kato conjectureJim Brown — 2005
• The arithmetic volume of Shimura varieties of orthogonal typeFritz Hörmann — 2010
• Taylor expansion of an Eisenstein seriesTonghai Yang — 2003
• On the Siegel Eisenstein series of degree two for low weightsKeiichi Gunji — 2015
• Nonvanishing of Koecher–Maass series attached to Siegel cusp formsSoumya Das, Winfried Kohnen — 2015
• p-adic Banach Modules of Arithmetical Modular Forms and Triple Products of Coleman's FamiliesAlexey A. Panchishkin — 2006

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