Skip to main content
Log in

Recurrence relations in the theory of Hecke operators

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

In this paper one computes the“−2 power” of the Frobenius element of the Hecke ring of the subgroup ⌈n,1(q) of a modular group of genus n+1, which is the semidirect product of the Heisenberg group and the modular group ⌈n(q) of genusn.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. A. N. Andrianov,“The multiplicative arithmetic of Siegel modular forms,” Usp. Mat. Nauk,34, No. 1, 67–135 (1979).

    Google Scholar 

  2. V. A. Gritsenko,“The action of modular operators on the Fourier-Jacobi coefficients of modular forms,” Mat. Sb.,119, No. 2, 248–278 (1982).

    Google Scholar 

  3. G. Shimura,“Arithmetic of alternating forms and quaternion Hermitian forms,” J. Math. Soc. Jpn.,15, No. 1, 33–65 (1963).

    Google Scholar 

  4. I. Satake,“Theory of spherical functions on reductive algebraic groups over p-adic fields,” Publ. Math. IHES, No. 18, 5–70 (1963).

    Google Scholar 

Download references

Authors

Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 125, pp. 65–73, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gritsenko, V.A. Recurrence relations in the theory of Hecke operators. J Math Sci 26, 2342–2348 (1984). https://doi.org/10.1007/BF01680014

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01680014

Keywords

Navigation