@article{bwmeta1.element.bwnjournal-article-aav72i4p299bwm, author = {Jeffrey Stopple}, title = {Theta series for indefinite quadratic forms over real number fields}, journal = {Acta Arithmetica}, volume = {69}, year = {1995}, pages = {299-309}, zbl = {0833.11015}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav72i4p299bwm} }
Jeffrey Stopple. Theta series for indefinite quadratic forms over real number fields. Acta Arithmetica, Tome 69 (1995) pp. 299-309. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav72i4p299bwm/
[000] [1] P. Appell et J. Kampé de Fériet, Fonctions Hypergéométriques et Hypersphériques (troisième partie: Polynomes d'Hermite...), Gauthier-Villars, Paris, 1926. | Zbl 52.0361.13
[001] [2] M. Eichler, On theta functions of real algebraic number fields, Acta Arith. 33 (1977), 269-292. | Zbl 0348.10017
[002] [3] N. Lebedev, Special Functions and their Applications, Dover, 1972.
[003] [4] W. Schempp, Harmonic Analysis on the Heisenberg Nilpotent Lie Group, Longman, 1986.
[004] [5] C. L. Siegel, Indefinite quadratische Formen und Funktionentheorie I, Math. Ann. 124 (1951), 17-54; II, Math. Ann. 124 (1951) 364-387. | Zbl 0043.27402
[005] [6] A. Terras, Harmonic Analysis on Symmetric Spaces and Applications I, Springer, 1985.
[006] [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.
[007] [8] L. H. Walling, Hecke operators on theta series attached to lattices of arbitrary rank, Acta Arith. 54 (1990), 213-240. | Zbl 0644.10023
[008] [9] D. Zagier, Modular forms associated to real quadratic fields, Invent. Math. 30 (1975), 1-46. | Zbl 0308.10014