Theta series for indefinite quadratic forms over real number fields
Acta Arithmetica (1995)
- Volume: 72, Issue: 4, page 299-309
- ISSN: 0065-1036
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topJeffrey Stopple. "Theta series for indefinite quadratic forms over real number fields." Acta Arithmetica 72.4 (1995): 299-309. <http://eudml.org/doc/206797>.
@article{JeffreyStopple1995,
author = {Jeffrey Stopple},
journal = {Acta Arithmetica},
keywords = {indefinite quadratic forms; real number fields; real quadratic extension of a totally real field; theta series; base change lifting of automorphic forms},
language = {eng},
number = {4},
pages = {299-309},
title = {Theta series for indefinite quadratic forms over real number fields},
url = {http://eudml.org/doc/206797},
volume = {72},
year = {1995},
}
TY - JOUR
AU - Jeffrey Stopple
TI - Theta series for indefinite quadratic forms over real number fields
JO - Acta Arithmetica
PY - 1995
VL - 72
IS - 4
SP - 299
EP - 309
LA - eng
KW - indefinite quadratic forms; real number fields; real quadratic extension of a totally real field; theta series; base change lifting of automorphic forms
UR - http://eudml.org/doc/206797
ER -
References
top- [1] P. Appell et J. Kampé de Fériet, Fonctions Hypergéométriques et Hypersphériques (troisième partie: Polynomes d'Hermite...), Gauthier-Villars, Paris, 1926. Zbl52.0361.13
- [2] M. Eichler, On theta functions of real algebraic number fields, Acta Arith. 33 (1977), 269-292. Zbl0348.10017
- [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. Zbl0043.27402
- [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. Zbl0644.10023
- [9] D. Zagier, Modular forms associated to real quadratic fields, Invent. Math. 30 (1975), 1-46. Zbl0308.10014
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