Ternary quadratic forms and Shimura’s correspondence

DOI10.1017/S0027763000019218zbMath0452.10030MaRDI QIDQ3898576

Paul Ponomarev

Publication date: 1981

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

ternary quadratic formShimura correspondenceimages of theta seriestheta series of Brandt matrix

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Holomorphic modular forms of integral weight (11F11)

Related Items (14)

Values of Dirichlet series associated with modular forms at the points \(s=1/2\), 1 ⋮ On the representation numbers of ternary quadratic forms and modular forms of weight \(3/2\) ⋮ Mellin Transforms of Vector Valued Theta Series Attached to Quaternion Algebras ⋮ The Doi-Naganuma lifting of quaternary theta series ⋮ Kneser's method of neighbors ⋮ The Dirichlet series of Koecher and Maaß and modular forms of weight 3/2 ⋮ Eichler's commutation relation and some other invariant subspaces of Hecke operators ⋮ The correspondence between theta series of ternary and quaternary quadratic forms ⋮ Eichler commutation relations for theta series of nebentypus ⋮ On the linear independence of certain theta-series ⋮ Thetareihen positiv definiter quadratischer Formen ⋮ Rational eigenvectors in spaces of ternary forms ⋮ Ternary quadratic forms and Brandt matrices ⋮ Jacobiformen und Thetareihen. (Jacobi forms and theta series)

Cites Work

• Class number of definite quaternary forms with square discriminant
• On modular forms of half integral weight
• On the traces of Hecke operators for a normalizer of \(\Gamma_0\)(N)
• Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion
• Über die Darstellbarkeit von Modulformen durch Thetareihen.
• A table of Hecke operators, II

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