On Siegel modular forms
Compositio Mathematica (1996)
- Volume: 103, Issue: 2, page 219-226
- ISSN: 0010-437X
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topKohnen, Winfried. "On Siegel modular forms." Compositio Mathematica 103.2 (1996): 219-226. <http://eudml.org/doc/90468>.
@article{Kohnen1996,
author = {Kohnen, Winfried},
journal = {Compositio Mathematica},
keywords = {Siegel modular forms; Deligne's theorem; Ramanujan-Petersson conjecture; modular forms of several variables; Fourier coefficients; theta series},
language = {eng},
number = {2},
pages = {219-226},
publisher = {Kluwer Academic Publishers},
title = {On Siegel modular forms},
url = {http://eudml.org/doc/90468},
volume = {103},
year = {1996},
}
TY - JOUR
AU - Kohnen, Winfried
TI - On Siegel modular forms
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 103
IS - 2
SP - 219
EP - 226
LA - eng
KW - Siegel modular forms; Deligne's theorem; Ramanujan-Petersson conjecture; modular forms of several variables; Fourier coefficients; theta series
UR - http://eudml.org/doc/90468
ER -
References
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- 2 Böcherer, S. and Raghavan, S.: On Fourier coefficients of Siegel modular forms, J. Reine Angew. Math.384 (1988) 80-101. Zbl0636.10022MR929979
- 3 Böcherer, S.: Siegel modular forms and theta series, Proc. Sympos. Pure Maths. AMS, vol. 49, part 2 (1989) 3-17. Zbl0681.10019MR1013165
- 4 Böcherer, S. and Kohnen, W.: Estimates for Fourier coefficients of Siegel cusp forms, Math. Ann.297 (1993) 499-517. Zbl0787.11017MR1245401
- 5 Freitag, E.: Siegelsche Modulformen, Grundl. Math. Wiss. vol. 254, Springer, Berlin -Heidelberg-New York, 1983. Zbl0498.10016MR871067
- 6 Kashiwara, M. and Vergne, M.: On the Segal-Shale-Weil representations and harmonic polynomials, Invent. Math.84 (1978) 1—47. Zbl0375.22009
- 7 Kitaoka, Y.: Arithmetic of quadratic forms. Cambridge Texts in Maths, no. 106, Cambridge University Press, 1993. Zbl0785.11021MR1245266
- 8 Maass, H.: Harmonische Formen in einer Matrixvariablen, Math. Ann.252 (1980) 133-140. Zbl0427.31006MR593627
- 9 Raghavan, S.: Cusp forms of degree 2 and weight 3, Math. Ann.224 (1976) 149-156. Zbl0335.10030MR422163
- 10 Rankin, R.- A.: An Ω-result for the Fourier coefficients of cusp forms, Math. Ann.203 (1973) 239-250. Zbl0254.10021
- 11 Siegel, C.L.: Über die analytische Theorie der quadratischen Formen. In: Collected Works I (eds.: K. Chandrasekharan and H. Maass), pp. 326—405. Springer, Berlin-Heidelberg -New York, 1966. Zbl61.0140.01
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