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math.NT2025
Alg{è}bres diff{é}rentielles de formes quasi-Jacobi d'indice nul
François Dumas, François Martin, Emmanuel Royer
The notion of double depth associated with quasi-Jacobi forms allows distinguishing,within the algebra of quasi-Jacobi singular forms of index zero, certain significant subalgebras…
math.NT2024
Differential algebras of quasi-Jacobi forms of index zero
François Dumas, François Martin, Emmanuel Royer
The notion of double depth associated with quasi-Jacobi forms allows distinguishing, within the algebra of quasi-Jacobi singular forms of index zero, certain significant subalgebra…
math.NT2019
Invariants of formal pseudodifferential operator algebras and algebraic modular forms
François Dumas, François Martin
We study from an algebraic point of view the question of extending an action of a group \(Γ\) on a commutative domain \(R\) to a formal pseudodifferential operator ring \(B=R(\!(x\…