A remark on the transformation formula of theta functions associated to positive definite quadratic forms

DOI10.1016/0022-314X(80)90057-8zbMath0427.10013MaRDI QIDQ1136791

Yoshiyuki Kitaoka

Publication date: 1980

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

theta functionstransformation formuladefinite quadratic forms

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quadratic forms over global rings and fields (11E12)

Related Items

Über gewisse Siegelsche Modulformen zweiten Grades ⋮ A shadow identity and an application to isoduality. ⋮ ON THETA FUNCTIONS OF BINARY QUADRATIC FORMS WITH CONGRUENCE CONDITION ⋮ The shadow theory of modular and unimodular lattices

Cites Work

• On modular forms of half integral weight
• Die Wirkung der Modulsubstitutionen auf mehrfache Thetareihen zu quadratischen Formen ungerader Variablenzahl
• Quaternary even positive definite quadratic forms of prime discriminant
• Arithmetic of quaternary quadratic forms