On Drinfeld modular forms of higher rank and quasi-periodic functions

DOI10.1090/tran/8547OpenAlexW3126117392MaRDI QIDQ5863052

Oğuz Gezmiş, Yen-Tsung Chen

Publication date: 10 March 2022

Full work available at URL: https://arxiv.org/abs/2101.11819

zbMATH Keywords

Drinfeld modulesDrinfeld modular formsfalse Eisenstein series

Mathematics Subject Classification ID

Modular forms associated to Drinfel'd modules (11F52) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Special values of Drinfeld modular forms and algebraic independence
• Zur Arithmetik von Drinfeld-Moduln
• On the coefficients of Drinfeld modular forms
• The values of \(J\)-invariants for Drinfeld modules
• Rigid analytic geometry and its applications
• The de Rham isomorphism for Drinfeld modules over Tate algebras
• On Drinfeld modular forms of higher rank. III: The analogue of the \(k/12\)-formula
• Values of certain \(L\)-series in positive characteristic
• Compactification of Drinfeld modular varieties and Drinfeld modular forms of arbitrary rank
• On Drinfeld modular forms of higher rank II.
• On Drinfeld modular forms of higher rank IV: modular forms with level
• Satake compactification of analytic Drinfeld modular varieties
• Towers of \(\mathrm{GL}(r)\)-type of modular curves
• Identities for Anderson generating functions for Drinfeld modules
• Estimating the order of vanishing at infinity of Drinfeld quasi-modular forms
• A product formula for the higher rank Drinfeld discriminant function
• From the Carlitz exponential to Drinfeld modular forms
• Transcendence of special values of quasi-modular forms
• Algebraic independence of periods and logarithms of Drinfeld modules
• Vectorial Drinfeld modular forms over Tate algebras
• Hyperdifferential Properties of Drinfeld Quasi-Modular Forms
• Modulare Einheiten für Funktionenkörper.
• ON CUSPIDAL DIVISORS ON THE MODULAR VARIETIES OF ELLIPTIC MODULES
• On the de Rham isomorphism for Drinfeld modules.
• Linear independence of Gamma values in positive characteristic
• On certain Drinfeld modular forms of higher rank