ArticleOriginal scientific text

Title

Theta series for indefinite quadratic forms over real number fields

Authors 1

Affiliations

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

Bibliography

  1. P. Appell et J. Kampé de Fériet, Fonctions Hypergéométriques et Hypersphériques (troisième partie: Polynomes d'Hermite...), Gauthier-Villars, Paris, 1926.
  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.
Pages:
299-309
Main language of publication
English
Received
1993-09-29
Published
1995
Exact and natural sciences