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Balancing polynomials, Fibonacci numbers and some new series for $\pi$. (arXiv:2207.09451v1 [math.NT]) arxiv.org/abs/2207.09451

An explicit version of Chen's theorem. (arXiv:2207.09452v1 [math.NT]) arxiv.org/abs/2207.09452

Formalising the Krull Topology in Lean. (arXiv:2207.09486v1 [cs.LO]) arxiv.org/abs/2207.09486

Homological invariants of generalized bound path algebras. (arXiv:2207.09488v1 [math.RT]) arxiv.org/abs/2207.09488

First-countable Lindel\"of scattered spaces. (arXiv:2207.09489v1 [math.GN]) arxiv.org/abs/2207.09489

Normalisers of maximal tori and a conjecture of Vdovin. (arXiv:2207.09495v1 [math.GR]) arxiv.org/abs/2207.09495

Exact Hole-induced Resonating-Valence-Bond Ground State in Certain $U=\infty$ Hubbard Models. (arXiv:2207.09498v1 [cond-mat.str-el]) arxiv.org/abs/2207.09498

Approximation Power of Deep Neural Networks: an explanatory mathematical survey. (arXiv:2207.09511v1 [cs.LG]) arxiv.org/abs/2207.09511

Integral canonical models for Shimura varieties defined by tori. (arXiv:2207.09513v1 [math.NT]) arxiv.org/abs/2207.09513

The Exceptional Set in Goldbach's Problem with Almost Twin Primes. (arXiv:2207.08805v1 [math.NT]) arxiv.org/abs/2207.08805

On polarization of spherical codes and designs. (arXiv:2207.08807v1 [math.CO]) arxiv.org/abs/2207.08807

On certain weaker forms of the Scheepers property. (arXiv:2207.08819v1 [math.GN]) arxiv.org/abs/2207.08819

Dimensional transmutation from non-Hermiticity. (arXiv:2207.08843v1 [cond-mat.mes-hall]) arxiv.org/abs/2207.08843

Is the Classic Convex Decomposition Optimal for Bound-Preserving Schemes in Multiple Dimensions?. (arXiv:2207.08849v1 [math.NA]) arxiv.org/abs/2207.08849

Hadamard Powers and Kernel Perceptrons. (arXiv:2207.08853v1 [math.RA]) arxiv.org/abs/2207.08853

Finite speed axially symmetric Navier-Stokes flows passing a cone. (arXiv:2207.08861v1 [math.AP]) arxiv.org/abs/2207.08861

Complete general solutions for equilibrium equations of isotropic strain gradient elasticity. (arXiv:2207.08863v1 [physics.class-ph]) arxiv.org/abs/2207.08863

A note on powerful numbers in short intervals. (arXiv:2207.08874v1 [math.NT]) arxiv.org/abs/2207.08874

A product integration rule on equispaced nodes for highly oscillating integrals. (arXiv:2207.08881v1 [math.NA]) arxiv.org/abs/2207.08881

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