J. Feauveau

2 citations · 2 across the 1 of their papers we have counts for

collaborators

4 papers

math.NT2018

Structure and bases of modular space sequences $(M_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ and $(S_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ . Part III: Cuspidal spaces

Jean-Christophe Feauveau

Based on the notion of strong modular form developed in Part I, we propose to structure the family of cuspidal modular form spaces $(S_{2 k} (Γ_{0} (N)))_{k \in N^{*}}$ and to det…

math.NT2018

Structure and bases of modular space sequences $(M_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ and $(S_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ . Part II: a modular butterfly hunt

Jean-Christophe Feauveau

In the first part of this article, which contains three of them, we have identified the notion of level $N$ strong modular unit. It enabled us to structure the modular forms family…

math.NT2018

Structure and bases of modular space sequences $(M_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ and $(S_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ . Part I : Strong modular units

Jean-Christophe Feauveau

The modular discriminant $Δ$ is known to structure the sequence of modular forms $(M_{2 k} (S L_{2} (Z)))_{k \in N^{*}}$ at level $1$ .\\ For all positive integer $N$ , w…

math.CV2017★ 2 cited

Elliptic functions revisited

Jean-Christophe Feauveau

Elliptic functions are largely studied and standardized mathematical objects. The two usual approaches are due to Jacobi and Weierstrass. From a contour integral which allowed us t…

Structure and bases of modular space sequences (M2k​(Γ0​(N)))k∈N∗​ and (S2k​(Γ0​(N)))k∈N∗​. Part III: Cuspidal spaces

Structure and bases of modular space sequences (M2k​(Γ0​(N)))k∈N∗​ and (S2k​(Γ0​(N)))k∈N∗​. Part II: a modular butterfly hunt

Structure and bases of modular space sequences (M2k​(Γ0​(N)))k∈N∗​ and (S2k​(Γ0​(N)))k∈N∗​. Part I : Strong modular units

Elliptic functions revisited

Structure and bases of modular space sequences $(M_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ and $(S_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ . Part III: Cuspidal spaces

Structure and bases of modular space sequences $(M_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ and $(S_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ . Part II: a modular butterfly hunt

Structure and bases of modular space sequences $(M_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ and $(S_{2 k} (Γ_{0} (N)))_{k \in N^{}}$ . Part I : Strong modular units