Theta series for indefinite quadratic forms over real number fields

• Autorzy: Jeffrey Stopple
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 72
• Numer: 4
• Strony: 299-309

Daty

wydano

1995

otrzymano

1993-09-29

Twórcy

autor

Jeffrey Stopple

• Mathematics Department, University of California, Santa Barbara, California 93106, U.S.A.

Bibliografia

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• [2] M. Eichler, On theta functions of real algebraic number fields, Acta Arith. 33 (1977), 269-292.
• [3] N. Lebedev, Special Functions and their Applications, Dover, 1972.
• [4] W. Schempp, Harmonic Analysis on the Heisenberg Nilpotent Lie Group, Longman, 1986.
• [5] C. L. Siegel, Indefinite quadratische Formen und Funktionentheorie I, Math. Ann. 124 (1951), 17-54; II, Math. Ann. 124 (1951) 364-387.
• [6] A. Terras, Harmonic Analysis on Symmetric Spaces and Applications I, Springer, 1985.
• [7] M.-F. Vignéras, Séries thêta des formes quadratiques indéfinies, in: Modular Functions of One Variable VI, Lecture Notes in Math. 627, Springer, 1977, 227-239.
• [8] L. H. Walling, Hecke operators on theta series attached to lattices of arbitrary rank, Acta Arith. 54 (1990), 213-240.
• [9] D. Zagier, Modular forms associated to real quadratic fields, Invent. Math. 30 (1975), 1-46.