Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.N. ANDRIANOV, Degenerations of rings of Hecke operators on spaces of theta series, Proc. of the Steklov Institute 1983, no. 3, 1–18 (russ. Original: no. 157 (1981)).
M. EICHLER, D. ZAGIER, The Theory of Jacobi Forms, Basel 1985.
B. GROSS, Heights and the special values of L-series, Sem. Math. Sup., Presses Univ. Montreal.
J.S. HSIA and D.C. HUNG, Theta series of ternary and quaternary quadratic forms, Inv. Math. 73 (1983), 151–156.
J.S. HSIA and D.C. HUNG, Theta series of quaternary quadratic forms over Z and Z[(1 + √p)/2], Acta arith. 45 (1985), 75–91.
Y. KITAOKA, Representations of quadratic forms and their application to Selberg's zeta functions, Nagoya Math. J. 63 (1976), 153–162.
M. KNESER, Darstellungsmaße indefiniter quadratischer Formen, Math. Z. 77 (1961), 188–194.
J. KRAMER, On the linear independence of certain theta series Preprint Max-Planck-Institut Bonn MPI-SFB 85/40.
A. WEIL, Sur la theorie des formes quadratiques, collected works vol. 2, 471–484, Springer Verlag, Berlin-Heidelberg-New York 1979.
H. YOSHIDA, Siegel's modular forms and the arithmetic of quadratic forms, Inventiones math. 60 (1980), 193–248.
H. YOSHIDA, On Siegel modular forms obtained from theta series, J.f.d. reine und angew. Mathematik 352 (1984), 184–219.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Schulze-Pillot, R. (1989). A linear relation between theta series of degree and weight 2. In: Schlickewei, H.P., Wirsing, E. (eds) Number Theory. Lecture Notes in Mathematics, vol 1380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086554
Download citation
DOI: https://doi.org/10.1007/BFb0086554
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51397-1
Online ISBN: 978-3-540-46205-7
eBook Packages: Springer Book Archive