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Original Articles

REPRESENTATIONS OF FINITE GROUPS AND HILBERT MODULAR FORMS

Pages 4267-4305 | Received 01 Apr 2001, Published online: 03 Sep 2006

REFERENCES

  • Atiyah , M.F. and Singer , I.M. 1968 . The Index of Elliptic Operators III . Ann. Math. , 87 : 546 – 604 .
  • Ehlers , M. 1975 . Eine Klasse Komplexer Mannigfaltigkeiten und die Auflo¨sung Einiger Isolierter Singularitäten . Math. Ann. , 218 : 127 – 156 .
  • Eichler , M. 1967 . Einige Anwendung der Spurformel in Bereich der Modulkorrespondenzen . Math. Ann. , 168 : 128 – 137 .
  • Freitag , E. 1972 . Lokale und Globale Invarianten der Hilbertschen Modulgruppe . Invent. Math. , 17 : 106 – 134 .
  • van der Geer , G. 1988 . Hilbert Modular Surfaces 291 Berlin, Heidelberg, New York : Springer-Verlag .
  • Hamahata , Y. 1998 . The Spaces of Hilbert Cusp Forms for Totally Real Cubic Fields and Representations of . J. Math. Sci. Univ. Tokyo , 5 : 367 – 399 .
  • Hecke , E. 1930 . Über das Verhalten der Integrale I Gattung bei Beliebigen, Insbesondere in der Theorie der Elliptischen Modulfunktionen . Abh. Math. Sem. Ham. Univ. , 8 : 271 – 281 .
  • Hirzebruch , F. 1973 . Hilbert Modular Surfaces . L'Ens. Math. , 71 : 183 – 281 .
  • Kempf , G. , Knudsen , F. , Mumford , D. and Saint-Donat , B. 1973 . Toroidal Embeddings I Vol. 339 , 209 Berlin, Heidelberg, New York : Springer-Verlag . Lecture Notes in Math.
  • McQuillan , D. 1962 . A Generalization of a Theorem of Hecke . Amer. J. Math. , 84 : 306 – 316 .
  • Meyer , W. and Sczech , R. 1979 . Über eine Topologische und Zahlentheoretische Anwendung von Hirzebruchs Spitzenauflösung . Math. Ann. , 240 : 69 – 96 .
  • Saito , H. 1975 . On the Representation of in the Space of Hilbert Modular Forms . J. Math. Kyoto Univ. , 15 : 101 – 128 .
  • Satake , I. 1984 . “ On Numerical Invariants of Arithmetic Varieties of -rank one ” . In Automorphic Forms of Several Variables Edited by: Satake , I. and Morita , Y. Vol. 46 , 353 – 369 . Boston : Birkhäuser . Progress in Math.
  • Sczech, R. Zur Summation von L-Reihen; Bonner Math. Schriften; Universität Bonn, Mathematisches Institut: Bonn, 1982; Vol. 141, 98
  • Sczech. R. Hilbert Modular Varieties and Values of L-functions. In Automorphic Forms and Geometry of Arithmetic Varieties; Hashimoto, K., Namikawa, Y., Eds.; Adv. Stud. Pure Math.; Academic Press Inc.: Boston, Kinokuniya Company Ltd.: Tokyo, 1989; Vol. 15, 29–40
  • Serre , J.-P. 1977 . Linear Representations of Finite Groups Vol. 42 , 170 Berlin, Heidelberg, New York : GTM; Springer-Verlag .
  • Siegel , C.L. 1980 . Advanced Analytic Number Theory 268 Bombay : Tata Institute of Fundamental Research .
  • Shih , K. 1974 . On the Construction of Galois Extensions of Function Fields and Number Fields . Math. Ann. , 207 : 99 – 120 .
  • Takagi , T. 1931 . Lectures on Elementary Number Theory (in Japanese) 416 Japan : Kyôritsu Shuppan .
  • Thomas , E. and Vasquez , A.T. 1981 . Chern numbers of Cusp Resolutions in Totally Real Cubic Number Fields . J. reine angew. Math. , 324 : 175 – 191 .
  • Tsushima , R. 1980 . A Formula for the Dimension of Spaces of Siegel Cusp Forms of Degree Three . Amer. J. Math. , 102 ( 5 ) : 937 – 977 .
  • Zagier , D. 1981 . Zetafunktionen und Quadratische Körper 144 Berlin, Heidelberg, New York : Springer-Verlag .

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