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math.NT2026
Divisibility Estimates for Gaussian Norms and Almost-Prime Orders of a CM Elliptic Curve
SeungJu Lee
Let . We prove that is squarefree and has at most two prime factors for primes . The proof follows the Gaussian CM sie…
math.NA2026
A locking free mixed FEM based on a pure pseudostress based formulation for the elasticity eigenproblem
Arbaz Khan, Felipe Lepe, Jesus Vellojin
We analyze a novel locking-free mixed formulation for the elasticity eigenvalue problem in both two and three dimensions, expressed exclusively in terms of the pseudostress tensor.…
math.NA2026
Nitsche-based FEM for the Laplace eigenvalue problem: spectral approximation and a posteriori error analysis
Arbaz Khan, David Mora, Jesus Vellojin
In this paper, we present the numerical analysis of an elliptic eigenvalue problem in which the essential boundary condition is imposed weakly by means of the Nitsche method. The r…