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Modularity of Galois traces of ray class invariants

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Publication:829693
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DOI10.1007/s11139-019-00220-6zbMath1469.11101OpenAlexW3012438389MaRDI QIDQ829693

Chang Heon Kim, Ho Yun Jung

Publication date: 6 May 2021

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

Full work available at URL: https://doi.org/10.1007/s11139-019-00220-6

zbMATH Keywords

modular formsclass field theoryGalois 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)


Related Items

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



Cites Work

  • Modularity of Galois traces of class invariants
  • Ray class invariants over imaginary quadratic fields
  • 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
  • Modularity of Galois traces of Weber's resolvents
  • Primitive and totally primitive Fricke families with applications
  • Traces of CM values of modular functions
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