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math.NT2025
Variant of Ramanujan polynomials and a conjecture of Maji & Sarkar
Mrityunjoy Charan, Jaban Meher, Siddhi Pathak
We settle a conjecture proposed by B. Maji and T. Sarkar regarding the location of zeros of a two-parameter family of reciprocal polynomials, for positive integers…
math.NT2024
Construction of Jacobi forms using adjoint of Jacobi-Serre derivative
Mrityunjoy Charan, Lalit Vaishya
In the article, we study the Oberdieck derivative defined on the space of weak Jacobi forms. We prove that the Oberdieck derivative maps a Jacobi form to a Jacobi form. Moreover, w…