An eigenform of weight one expressed by meromorphic \(\eta\)-quotients

DOI10.1007/s11139-011-9305-2zbMath1303.11051OpenAlexW2010785461MaRDI QIDQ662904

Takeshi Ogasawara

Publication date: 13 February 2012

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-011-9305-2

zbMATH Keywords

modular formGalois representationDedekind eta function

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Galois representations (11F80) Dedekind eta function, Dedekind sums (11F20)

Cites Work

• Serre's modularity conjecture. I
• Serre's modularity conjecture. II
• A classical invitation of algebraic numbers and class fields. With two appendices by Olga Taussky: ``Artin's 1932 Göttingen lectures on class field theory and ``Connections between algebraic number theory and integral matrices.
• Zeta-functions of elliptic curves of 2-power conductor
• Diedergruppe und Reziprozitätsgesetz.
• Artin’s conjecture for representations of octahedral type
• Formes modulaires de poids $1$
• Multiplicative 𝜂-quotients
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