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A disproof of $L^\alpha$ polynomials Rudin conjecture, $2 \leq \alpha<4.$. (arXiv:2110.05486v1 [math.CA]) arxiv.org/abs/2110.05486

Causal connectability between quantum systems and the black hole interior in holographic duality. (arXiv:2110.05497v1 [hep-th]) arxiv.org/abs/2110.05497

Scaling Black Holes and Modularity. (arXiv:2110.05504v1 [hep-th]) arxiv.org/abs/2110.05504

Enumerativity of virtual Tevelev degrees. (arXiv:2110.05520v1 [math.AG]) arxiv.org/abs/2110.05520

On central $L$-values and the growth of the $3$-part of the Tate-Shafarevich group. (arXiv:2110.05521v1 [math.NT]) arxiv.org/abs/2110.05521

Essential dimension via prismatic cohomology. (arXiv:2110.05534v1 [math.AG]) arxiv.org/abs/2110.05534

Convergence Rate for Degenerate Partial and Stochastic Differential Equations via weak Poincar\'e Inequalities. (arXiv:2110.05536v1 [math.PR]) arxiv.org/abs/2110.05536

Global Existence of a Strong Solution to a Fourth-Order Exponential PDE Modelling Crystal Surface Growth With Metropolis-Type Rates. (arXiv:2110.05552v1 [math.AP]) arxiv.org/abs/2110.05552

Differences between perfect powers : prime power gaps. (arXiv:2110.05553v1 [math.NT]) arxiv.org/abs/2110.05553

Off-the-grid covariance-based super-resolution fluctuation microscopy. (arXiv:2110.04300v1 [math.OC]) arxiv.org/abs/2110.04300

About the Primality of Primorials. (arXiv:2110.04302v1 [math.NT]) arxiv.org/abs/2110.04302

Maximal speed for macroscopic particle transport in the Bose-Hubbard model. (arXiv:2110.04313v1 [quant-ph]) arxiv.org/abs/2110.04313

A new and simple proof of the false center theorem. (arXiv:2110.04324v1 [math.MG]) arxiv.org/abs/2110.04324

Asymptotic behavior of constrained local minimizers in finite elasticity. (arXiv:2110.04333v1 [math.AP]) arxiv.org/abs/2110.04333

Learning from non-irreducible Markov chains. (arXiv:2110.04338v1 [math.ST]) arxiv.org/abs/2110.04338

Local discontinuous Galerkin methods for the abcd nonlinear Boussinesq system. (arXiv:2110.04339v1 [math.NA]) arxiv.org/abs/2110.04339

On Polytopes with Linear Rank with respect to Generalizations of the Split Closure. (arXiv:2110.04344v1 [math.OC]) arxiv.org/abs/2110.04344

A Framework for Private Communication with Secret Block Structure. (arXiv:2110.04345v1 [cs.IT]) arxiv.org/abs/2110.04345

Inverse problem in the calculus of variations -- functional exterior calculus approach. (arXiv:2110.04346v1 [math-ph]) arxiv.org/abs/2110.04346

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