Duke Mathematical Journal

Explicit Siegel theory: An algebraic approach

Lynne H. Walling
Source: Duke Math. J. Volume 89, Number 1 (1997), 37-74.
First Page: Show Hide
Primary Subjects: 11E45
Secondary Subjects: 11E12, 11F27
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077240833
Mathematical Reviews number (MathSciNet): MR1458970
Zentralblatt MATH identifier: 0885.11030
Digital Object Identifier: doi:10.1215/S0012-7094-97-08903-1

References

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Mathematical Reviews (MathSciNet): MR90h:51003
Zentralblatt MATH: 0642.51001
[2] B. Jones, The Arithmetic Theory of Quadratic Forms, Carcus Monograph Series, no. 10, The Mathematical Association of America, Buffalo, N. Y., 1950.
Mathematical Reviews (MathSciNet): MR12,244a
Zentralblatt MATH: 0041.17505
[3] A. Ogg, Modular Forms and Dirichlet Series, W. A. Benjamin, Inc., New York-Amsterdam, 1969.
Mathematical Reviews (MathSciNet): MR41:1648
Zentralblatt MATH: 0191.38101
[4] O. T. O'Meara, Introduction to quadratic forms, Die Grundlehren der mathematischen Wissenschaften, vol. 117, Springer-Verlag, New York, 1971.
Mathematical Reviews (MathSciNet): MR50:269
Zentralblatt MATH: 0207.05304
[5] C. L. Siegel, Über die analytische Theorie der quadratischen Formen, Gesammelte Abhandlungen, Springer-Verlag, Berlin, 1966, pp. 326–405.
[6] L. H. Walling, Hecke operators on theta series attached to lattices of arbitrary rank, Acta Arith. 54 (1990), no. 3, 213–240.
Mathematical Reviews (MathSciNet): MR91h:11039
Zentralblatt MATH: 0644.10023
[7] L. H. Walling, Hecke eigenforms and representation numbers of quadratic forms, Pacific J. Math. 151 (1991), no. 1, 179–200.
Mathematical Reviews (MathSciNet): MR92g:11048
Zentralblatt MATH: 0749.11027
Project Euclid: euclid.pjm/1102637379

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