Drinfeld $A$-quasi-modular forms
Vincent Bosser (LMNO), Federico Pellarin (LAMUSE)
TL;DR
This paper enhances multiplicity estimates for Drinfeld quasi-modular forms and explores the algebraic structure of related almost-$A$-quasi-modular forms, advancing understanding in function field modular forms.
Contribution
It improves existing multiplicity bounds and investigates the structure of new algebraic objects called almost-$A$-quasi-modular forms.
Findings
Improved multiplicity estimates for Drinfeld quasi-modular forms
Structural insights into algebras of almost-$A$-quasi-modular forms
Foundation for further algebraic and analytical studies in the field
Abstract
The aim of this article is twofold: first, improve the multiplicity estimate obtained by the second author for Drinfeld quasi-modular forms; and then, study the structure of certain algebras of "almost--quasi-modular forms"
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Algebraic structures and combinatorial models