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A short note on the full Jacobi group


Author: YoungJu Choie
Journal: Proc. Amer. Math. Soc. 123 (1995), 2625-2628
MSC: Primary 11F55; Secondary 11F06, 11F46
DOI: https://doi.org/10.1090/S0002-9939-1995-1260164-5
MathSciNet review: 1260164
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Abstract: The full Jacobi group has been defined to study Jacobi forms. The full Jacobi group has properties similar to the modular group. In this note we investigate properties of the full Jacobi group to get generators and relations.


References [Enhancements On Off] (What's this?)

  • [1] Martin Eichler and Don Zagier, The theory of Jacobi forms, Progress in Mathematics, vol. 55, Birkhäuser Boston, Inc., Boston, MA, 1985. MR 781735
  • [2] Morris Newman, Integral matrices, Academic Press, New York-London, 1972. Pure and Applied Mathematics, Vol. 45. MR 0340283
  • [3] Bruno Schoeneberg, Elliptic modular functions: an introduction, Springer-Verlag, New York-Heidelberg, 1974. Translated from the German by J. R. Smart and E. A. Schwandt; Die Grundlehren der mathematischen Wissenschaften, Band 203. MR 0412107
  • [4] Robert A. Rankin, Modular forms and functions, Cambridge University Press, Cambridge-New York-Melbourne, 1977. MR 0498390

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1260164-5
Article copyright: © Copyright 1995 American Mathematical Society