The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series

DOI10.1007/s11139-021-00404-zzbMath1487.11072OpenAlexW3133765709MaRDI QIDQ2054708

Wonwoong Lee, Bo-Hae Im

Publication date: 3 December 2021

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

Full work available at URL: https://doi.org/10.1007/s11139-021-00404-z

zbMATH Keywords

modular formEisenstein seriesquasi-modular formdifferential idealtranscendentalthe Hecke group

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Holomorphic modular forms of integral weight (11F11) Transcendence theory of elliptic and abelian functions (11J89) Differential algebra (13N99)

Cites Work

• Automorphic forms for triangle groups
• Hecke's theory and the Selberg class
• The hypergeometric equation and Ramanujan functions
• A conjecture of Mahler on automorphic functions
• Length spectra of the Hecke triangle groups
• Aspects of Hecke symmetry: anomalies, curves, and chazy equations
• Eisenstein series associated with \(\Gamma_{0}(2)\)
• Certain aspects of holomorphic function theory on some genus-zero arithmetic groups
• Modular functions and transcendence questions
• On algebraic differential equations satisfied by automorphic functions
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