4 citations · 16 across the 9 of their papers we have counts for
9 papers
About quasi-modular forms, differential operators and Rankin--Cohen algebras
Younes Nikdelan
We establish sufficient conditions, involving Rankin--Cohen (RC) brackets, under which certain combinations of meromorphic quasi-modular forms and their derivatives yield meromorph…
Ramanujan systems of Rankin-Cohen type and hyperbolic triangles
Gabriele Bogo, Younes Nikdelan
In the first part of the paper we characterize certain systems of first order nonlinear differential equations whose space of solutions is an -module.…
Ramanujan-type systems of nonlinear ODEs for and
Younes Nikdelan
This paper aims to introduce two systems of nonlinear ordinary differential equations whose solution components generate the graded algebra of quasi-modular forms on Hecke congruen…
Rankin-Cohen brackets for Calabi-Yau modular forms
Younes Nikdelan
For any positive integer , we introduce a quasi-homogeneous vector field of degree on a moduli space of enhanced Calabi-Yau -folds arising from…
Product formulas for weight two newforms
Hossein Movasati, Younes Nikdelan
For a weight two newform attached to an elliptic curve defined over rational numbers we write and we observe that for some…
Modular vector fields attached to Dwork family: Lie algebra
Younes Nikdelan
This paper aims to show that a certain moduli space , which arises from the so-called Dwork family of Calabi-Yau -folds, carries a special complex Lie algebra contai…
Manifold Ways to Darboux-Halphen System
John Alexander Cruz Morales, Hossein Movasati, Younes Nikdelan +2
Many distinct problems give birth to Darboux-Halphen system of differential equations and here we review some of them. The first is the classical problem presented by Darboux and l…
Gauss-Manin Connection in Disguise: Dwork Family
Hossein Movasati, Younes Nikdelan
We study the moduli space of the Calabi-Yau -folds arising from the Dwork family and enhanced with bases of the -th de Rham cohomology with constant cup product…
Darboux-Halphen-Ramanujan Vector Field on a Moduli of Calabi-Yau Manifolds
Younes Nikdelan
In this paper we obtain an ordinary differential equation from a Picard-Fuchs equation associated with a nowhere vanishing holomorphic -form. We work on a moduli space…