Estimates for Fourier coefficients of Siegel cusp forms of degree two

Winfried Kohnen

Compositio Mathematica (1993)

  • Volume: 87, Issue: 2, page 231-240
  • ISSN: 0010-437X

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Kohnen, Winfried. "Estimates for Fourier coefficients of Siegel cusp forms of degree two." Compositio Mathematica 87.2 (1993): 231-240. <http://eudml.org/doc/90233>.

@article{Kohnen1993,
author = {Kohnen, Winfried},
journal = {Compositio Mathematica},
keywords = {estimates of Fourier coefficients; Siegel modular forms; Fourier-Jacobi expansion; Kloosterman sums; Jacobi form},
language = {eng},
number = {2},
pages = {231-240},
publisher = {Kluwer Academic Publishers},
title = {Estimates for Fourier coefficients of Siegel cusp forms of degree two},
url = {http://eudml.org/doc/90233},
volume = {87},
year = {1993},
}

TY - JOUR
AU - Kohnen, Winfried
TI - Estimates for Fourier coefficients of Siegel cusp forms of degree two
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 87
IS - 2
SP - 231
EP - 240
LA - eng
KW - estimates of Fourier coefficients; Siegel modular forms; Fourier-Jacobi expansion; Kloosterman sums; Jacobi form
UR - http://eudml.org/doc/90233
ER -

References

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  1. [1] Bateman, H.: Higher Transcendental Functions. II. New York-Toronto-London, McGraw-Hill, 1953. MR58756
  2. [2] Böcherer, S. and Raghavan, S.: On Fourier coefficients of Siegel modular forms, J. reine angew. Math.384 (1988), 80-101. Zbl0636.10022MR929979
  3. [3] Eichler, M. and Zagier, D.: The Theory of Jacobi Forms (Progress in Maths. vol. 55), Birkhäuser, Boston, 1985. Zbl0554.10018MR781735
  4. [4] Fomenko, O.M.: Fourier coefficients of Siegel cusp forms of genus n, J. Soviet. Math.38 (1987), 2148-2157. Zbl0624.10022
  5. [5] Gross, B., Kohnen, W. and Zagier, D.: Heegner points and derivatives of L-series. II. Math. Ann.278 (1987), 497-562. Zbl0641.14013MR909238
  6. [6] Iwaniec, H.: Fourier coefficients of modular forms of half-integral weight. Invent Math.87 (1987), 385-401. Zbl0606.10017MR870736
  7. [7] Kitaoka, Y.: Fourier coefficients of Siegel cusp forms of degree two, Nagoya Math. J.93 (1984), 149-171. Zbl0531.10031MR738922
  8. [8] Kohnen, W. and Skoruppa, N.-P.: A certain Dirichlet series attached to Siegel modular forms of degree two. Invent. Math.95 (1989), 541-558. Zbl0665.10019MR979364
  9. [9] Landau, E.: Uber die Anzahl der Gitterpunkte in Gewissen Bereichen. II. Göttinger Nachr. (1915), 209-243.(Collected works, vol. 6, pp. 308-342. Essen: Thales, 1986.) Zbl45.0312.02JFM45.0312.02
  10. [10] Raghavan, S. and Weissauer, R.: Estimates for Fourier coefficients of cusp forms. In M. M. Dodson and J. A. G. Vickers eds., Number Theory and Dynamical Systems, pp. 87-102. London Math. Soc. Lect. Not. ser. vol. 134. Cambridge University Press, Cambridge, 1989. Zbl0686.10019MR1043707
  11. [11] Sato, M. and Shintani, T.: On zeta functions associated with prehomogeneous vector spaces, Ann. of Math.100 (1974), 131-170. Zbl0309.10014MR344230

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