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The Ultraviolet Structure of Quantum Field Theories. Part 3: Gauge Theories. (arXiv:2105.12751v1 [hep-th]) arxiv.org/abs/2105.12751

Effective computations for weakly optimal subvarieties. (arXiv:2105.12760v1 [math.AG]) arxiv.org/abs/2105.12760

Residually finite lattices in $\widetilde{\mathrm{PU}(2,1)}$ and fundamental groups of smooth projective surfaces. (arXiv:2105.12772v1 [math.AG]) arxiv.org/abs/2105.12772

The Simultaneous Fractional Dimension of Graph Families. (arXiv:2105.12773v1 [math.CO]) arxiv.org/abs/2105.12773

Statistical Depth Meets Machine Learning: Kernel Mean Embeddings and Depth in Functional Data Analysis. (arXiv:2105.12778v1 [math.ST]) arxiv.org/abs/2105.12778

The annihilation operator for certain family of q-Hermite Sobolev-type orthogonal polynomials. (arXiv:2105.12779v1 [math.CA]) arxiv.org/abs/2105.12779

Tautological classes of hyper-K\"ahler manifolds. Erratum. (arXiv:2105.12783v1 [math.AG]) arxiv.org/abs/2105.12783

Ideal Bayesian Spatial Adaptation. (arXiv:2105.12793v1 [math.ST]) arxiv.org/abs/2105.12793

Optimal orders of the best constants in the Littlewood-Paley inequalities. (arXiv:2105.12795v1 [math.CA]) arxiv.org/abs/2105.12795

An explicit algorithm for normal forms in small overlap monoids. (arXiv:2105.12125v1 [cs.FL]) arxiv.org/abs/2105.12125

The Ultraviolet Structure of Quantum Field Theories. Part 2: What is Quantum Field Theory?. (arXiv:2105.12147v1 [hep-th]) arxiv.org/abs/2105.12147

Diameter, radius and all eccentricities in linear time for constant-dimension median graphs. (arXiv:2105.12150v1 [cs.DS]) arxiv.org/abs/2105.12150

The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds. (arXiv:2105.12153v1 [math.GT]) arxiv.org/abs/2105.12153

On the critical exponents of generalized ballot sequences in three dimensions and large tandem walks. (arXiv:2105.12155v1 [math.CO]) arxiv.org/abs/2105.12155

Double tails of multiple zeta values. (arXiv:2105.12156v1 [math.NT]) arxiv.org/abs/2105.12156

What is Logical in First-Order Logic?. (arXiv:2105.12157v1 [math.LO]) arxiv.org/abs/2105.12157

Waves in flexural beams\with nonlinear adhesive interaction. (arXiv:2105.12158v1 [math.AP]) arxiv.org/abs/2105.12158

Geography of $4$-manifolds with positive scalar curvature. (arXiv:2105.12162v1 [math.DG]) arxiv.org/abs/2105.12162

Adaptive Surface Fitting and Tangential Relaxation for High-Order Mesh Optimization. (arXiv:2105.12165v1 [math.NA]) arxiv.org/abs/2105.12165

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