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math.NT2024
First moment of Hecke eigenvalues at the integers represented by binary quadratic forms
Manish Kumar Pandey, Lalit vaishya
In the article, we consider a question concerning the estimation of summatory function of the Fourier coefficients of Hecke eigenforms indexed by a sparse set of integers. In parti…
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…