Bessel functionals and Siegel modular forms

Rainer Schulze-Pillot

Journal de théorie des nombres de Bordeaux (1995)

  • Volume: 7, Issue: 1, page 15-20
  • ISSN: 1246-7405

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Schulze-Pillot, Rainer. "Bessel functionals and Siegel modular forms." Journal de théorie des nombres de Bordeaux 7.1 (1995): 15-20. <http://eudml.org/doc/247665>.

@article{Schulze1995,
author = {Schulze-Pillot, Rainer},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {Bessel functionals; Siegel modular forms; Bessel model; Whittaker model},
language = {eng},
number = {1},
pages = {15-20},
publisher = {Université Bordeaux I},
title = {Bessel functionals and Siegel modular forms},
url = {http://eudml.org/doc/247665},
volume = {7},
year = {1995},
}

TY - JOUR
AU - Schulze-Pillot, Rainer
TI - Bessel functionals and Siegel modular forms
JO - Journal de théorie des nombres de Bordeaux
PY - 1995
PB - Université Bordeaux I
VL - 7
IS - 1
SP - 15
EP - 20
LA - eng
KW - Bessel functionals; Siegel modular forms; Bessel model; Whittaker model
UR - http://eudml.org/doc/247665
ER -

References

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  1. [B-F-SP] S. Bocherer, M. Furusawa and R. Schulze-Pillot, On Whittaker coefficients of some metaplectic forms, Duke Math. Journal (to appear). Zbl0820.11028MR1309331
  2. [B-SP 1] S. Böcherer and R. Schulze-Pillot, Siegel modular forms and theta series attached to quaternion algebras, Nagoya Math. J.121 (1991), 35-96. Zbl0726.11030MR1096467
  3. [B-SP 2] S. Böcherer and R. Schulze-Pillot, On a theorem of Waldspurger and on Eisenstein series of Klingen type, Math. Annalen288 (1990), 361-388. Zbl0688.10025MR1079868
  4. [B-SP 3] S. Böcherer and R. Schulze-Pillot, The Dirichlet series of Koecher and Maaβ and modular forms of weight 3/2, Math. Zeitschr.209 (1992), 273-287. Zbl0773.11031
  5. [E] M. Eichler, The basis problem for modular forms and the trace of the Hecke operators, Modular functions of one variable 1, Lecture Notes in Math.320, Springer Verlag, Berlin, Heidelberg, New York, 1973, pp. 75-151. Zbl0258.10013MR485698
  6. [Fu] M. Furusawa, On L-functions for GSp(4) x GL(2) and their special values, J. f. d. reine u. angew. Math.438 (1993), 187-218. Zbl0770.11025MR1215654
  7. [N-PS] M.E. Novodvorski and I.I. Piatetski-Shapiro, Generalized Bessel models for a symplectic group of rank 2, Math. USSR Sbornik19 (1973), 243-255. Zbl0281.22019
  8. [PS-S] I.I. Piatetski-Shapiro and D. Soudry, On a correspondence of automorphic forms on orthogonal groups of order five, J. Math. pures et appl.66 (1987), 407-436. Zbl0644.22009MR928272
  9. [Si] C.L. Siegel, Symplectic geometry, Gesammelte Abhandlungen, Bd. II, Springer Verlag, Berlin, Heidelberg, 1966, pp. 274-359. Zbl0138.31401MR197270
  10. [Su] T. Sugano, On holomorphic cusp forms on quaternion unitary groups of degree 2, J. Fac. Sci. Univ. Tokyo, Sect. IA, Math. 31 (1984), 521-568. Zbl0559.10020MR776691

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