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On two of Liouville's quaternary forms

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Publication:1119679
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DOI10.1007/BF01188674zbMath0671.10019OpenAlexW2021770140MaRDI QIDQ1119679

Günter Köhler

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01188674


zbMATH Keywords

Eisenstein seriesimaginary quadratic fieldstheta seriesclass numbersDedekind's eta functionrepresentation of integerscusp eigenformLiouville's and Kloosterman's formulasquaternary forms


Mathematics Subject Classification ID

Quadratic extensions (11R11) Holomorphic modular forms of integral weight (11F11) Iwasawa theory (11R23) General binary quadratic forms (11E16) Representation problems (11D85)


Related Items (3)

Modular forms on the Fricke group ⋮ Quartic congruences and eta products ⋮ Ramanujan’s theta functions and sums of triangular numbers




Cites Work

  • Zeta-functions of binary Hermitian forms and special values of Eisenstein series
  • On the 2-part of the class number of imaginary quadratic number fields
  • Über die Klassenzahl des Körpers \(P(\sqrt{-2p})\) mit einer Primzahl \(p\ne 2\)
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