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math.NT2025
Reducible modular differential equations, Jacobi pole divisors, and supersingular lifts
Khalil Besrour, Hicham Saber, Abdellah Sebbar
We study the reducible parameter values of a second-order modular differential equation for the full modular group and show that their pole data is controlled by a single polynomia…
math.NT2025
P-adic Period Conjectures for 1-motives: Integration and Linear Relations
Mohammadreza Mohajer, Abdellah Sebbar
We develop a -adic theory of periods for 1-motives, extending the classical theory of complex periods into the non-archimedean setting. For 1-motives with good reduction over $p…
math.NT2025
Higher Schwarzian, quasimodular forms and equivariant functions
Hicham Saber, Abdellah Sebbar
The Schwarzian derivative plays a fundamental role in complex analysis, differential equations, and modular forms. In this paper, we investigate its higher-order generalizations, k…