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On the proof of the reciprocity law for arithmetic Siegel modular functions

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Publication:1118640
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DOI10.1007/BF02837810zbMath0669.10054WikidataQ114852584 ScholiaQ114852584MaRDI QIDQ1118640

Walter L. jun. Baily

Publication date: 1987

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

Siegel spaceShimura's reciprocity lawspecial values of arithmetic Siegel modular functions


Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Class field theory (11R37) Global ground fields in algebraic geometry (14G25)


Related Items

Eisenstein series on tube domains



Cites Work

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  • On the theory of Hilbert modular functions. I: Arithmetic groups and Eisenstein series
  • Arithmetic Hilbert modular functions. II
  • Symplectic representations of algebraic groups satisfying a certain analyticity condition
  • Construction of class fields and zeta functions of algebraic curves
  • Algebraic number fields and symplectic discontinuous groups
  • On canonical models of arithmetic quotients of bounded symmetric domains
  • On the Hilbert-Siegel Modular Space
  • On Some Properties of Holomorphic Imbeddings of Symmetric Domains
  • A Note on Holomorphic Imbeddings and Compactification of Symmetric Domains
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