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Theta functions of indefinite quadratic forms over real number fields
Author(s):
Olav
K.
Richter
Journal:
Proc. Amer. Math. Soc.
128
(2000),
701-708.
MSC (1991):
Primary 11F41;
Secondary 11F27
Posted:
September 27, 1999
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Abstract:
We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of symplectic theta functions. The eighth root of unity which arises under modular transformations is determined explicitly.
References:
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 -Funktionen und den Dirichletschen Primzahlsatz für einen beliebigen Zahlkörper, Nachrichten der K. Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-physikalische Klasse (1917), 299-318. - 5.
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Additional Information:
Olav
K.
Richter
Affiliation:
Department of Mathematics, University of California, San Diego, California 92093-0112
Address at time of publication:
Department of Mathematics, University of California, Santa Cruz, California 95064
Email:
richter@euclid.ucsd.edu, richter@math.ucsc.edu
DOI:
10.1090/S0002-9939-99-05619-1
PII:
S 0002-9939(99)05619-1
Received by editor(s):
April 29, 1998
Posted:
September 27, 1999
Communicated by:
Dennis A. Hejhal
Copyright of article:
Copyright
1999,
American Mathematical Society
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