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Theta Functions with Harmonic Coefficients over Number Fields

✍ Scribed by Olav K. Richter

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
196 KB
Volume
95
Category
Article
ISSN
0022-314X

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✦ Synopsis

We investigate theta functions attached to quadratic forms over a number field K. We establish a functional equation by regarding the theta functions as specializations of symplectic theta functions. By applying a differential operator to the functional equation, we show how theta functions with harmonic coefficients over K behave under modular transformations. # 2002 Elsevier Science (USA)

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