Drinfeld cusp forms: oldforms and newforms

DOI10.1016/J.JNT.2020.03.011zbMath1493.11089OpenAlexW3027561119WikidataQ114157198 ScholiaQ114157198MaRDI QIDQ2127199

Maria Valentino, Andrea Bandini

Publication date: 20 April 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.03.011

zbMATH Keywords

Hecke operatorsnew formsAtkin operatorsDrinfeld cusp formsold formsslopes of eigenforms

Mathematics Subject Classification ID

Modular forms associated to Drinfel'd modules (11F52) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (4)

Atkin-Lehner theory for Drinfeld modular forms and applications ⋮ Fourier coefficients and slopes of Drinfeld modular forms ⋮ NOTES ON ATKIN–LEHNER THEORY FOR DRINFELD MODULAR FORMS ⋮ HECKE OPERATORS AND DRINFELD CUSP FORMS OF LEVEL

Cites Work

• On the trace and norm maps from \(\Gamma_0(\mathfrak{p})\) to \(\mathrm{GL}_2(A)\)
• Géométrie analytique rigide et applications. (Ridgid analytic geometry and applications)
• Perfectoid Drinfeld modular forms
• The Poisson Kernel for Drinfeld Modular Curves
• Families of Modular Eigenforms
• On the Atkin Ut-operator for Γ1(t)-invariant Drinfeld cusp forms
• On the Atkin 𝑈_{𝑡}-operator for Γ₀(𝑡)-invariant Drinfeld cusp forms
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