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The Dedekind \(\eta \)-function, a Hauptmodul for \(\Gamma _0(13)\), and invariant theory

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Publication:523699
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DOI10.1007/s11139-016-9800-6zbMath1422.11091OpenAlexW2476721073MaRDI QIDQ523699

Lei Yang

Publication date: 21 April 2017

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

Full work available at URL: https://doi.org/10.1007/s11139-016-9800-6


zbMATH Keywords

Hauptmodulmodular equationstheta constants


Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Theta series; Weil representation; theta correspondences (11F27) Arithmetic aspects of modular and Shimura varieties (11G18) Dedekind eta function, Dedekind sums (11F20) Modular and Shimura varieties (14G35) Theta functions and curves; Schottky problem (14H42)




Cites Work

  • Theta function identities
  • Heegner points and the modular curve of prime level
  • Continued fractions and modular functions
  • The Ramanujan Identities Under Modular Substitutions
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