Class invariants by Siegel resolvents and the modularity of their Galois traces

DOI10.1007/s11139-020-00382-8zbMath1492.11095OpenAlexW4235283757MaRDI QIDQ2070382

Ho Yun Jung, Yoon-Jin Lee

Publication date: 24 January 2022

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

Full work available at URL: https://doi.org/10.1007/s11139-020-00382-8

zbMATH Keywords

modular formsclass field theorySiegel functionsGalois tracesmodular traces

Mathematics Subject Classification ID

Units and factorization (11R27) Forms of half-integer weight; nonholomorphic modular forms (11F37) Complex multiplication and moduli of abelian varieties (11G15) Fourier coefficients of automorphic forms (11F30) Class field theory (11R37)

Cites Work

• Modularity of Galois traces of class invariants
• Modularity of Galois traces of ray class invariants
• On some arithmetic properties of Siegel functions
• Primes of the form \(x^2+ny^2\) with conditions \(x\equiv 1 \bmod N\), \(y\equiv 0\bmod N\)
• Heegner points and derivatives of \(L\)-series. II
• On some automorphic properties of Galois traces of class invariants from generalized Weber functions of level 5
• Modularity of Galois traces of Weber's resolvents
• Primitive and totally primitive Fricke families with applications
• Neue Begründung der komplexen Multiplikation. Zweiter Teil: Aufbau ohne Benutzung der allgemeinen Klassenkörpertheorie.
• Traces of CM values of modular functions
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