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Defining the prime numbers prior to the integers: A first-principles approach to the distribution of primes. (arXiv:1808.09447v1 [math.GM]) arxiv.org/abs/1808.09447

Optimal bounds on the positivity of a matrix from a few moments. (arXiv:1808.09462v1 [math.AG]) arxiv.org/abs/1808.09462

Treewidth and gonality of glued grid graphs. (arXiv:1808.09475v1 [math.CO]) arxiv.org/abs/1808.09475

Expected Number of Vertices of a Hypercube Slice. (arXiv:1808.09482v1 [math.PR]) arxiv.org/abs/1808.09482

Nonnegative Eigenvectors of Symmetric Matrices. (arXiv:1808.09484v1 [math.RA]) arxiv.org/abs/1808.09484

Spijker's example and its extension. (arXiv:1808.09485v1 [math.NA]) arxiv.org/abs/1808.09485

Extender sets and measures of maximal entropy for subshifts. (arXiv:1808.09486v1 [math.DS]) arxiv.org/abs/1808.09486

An exponential kernel associated with operators that have one-dimensional self-commutators. (arXiv:1808.09487v1 [math.FA]) arxiv.org/abs/1808.09487

Convergence of Krasulina Scheme. (arXiv:1808.09489v1 [stat.ML]) arxiv.org/abs/1808.09489

Deep Learning of Vortex Induced Vibrations. (arXiv:1808.08952v1 [physics.flu-dyn]) arxiv.org/abs/1808.08952

Skyrme and Faddeev models in the low-energy limit of 4d Yang-Mills-Higgs theories. (arXiv:1808.08972v1 [hep-th]) arxiv.org/abs/1808.08972

A Lefschetz fixed point theorem for multivalued maps of finite spaces. (arXiv:1808.08985v1 [math.DS]) arxiv.org/abs/1808.08985

Max-Min and Min-Max universally yield Gumbel. (arXiv:1808.08991v1 [cond-mat.stat-mech]) arxiv.org/abs/1808.08991

A Size Condition for Diameter Two Orientable Graphs. (arXiv:1808.08996v1 [math.CO]) arxiv.org/abs/1808.08996

Congenial Algebras: Extensions and Examples. (arXiv:1808.09003v1 [math.RA]) arxiv.org/abs/1808.09003

Canonical basis twists of ideal lattices from real quadratic number fields. (arXiv:1808.09007v1 [math.NT]) arxiv.org/abs/1808.09007

Cauchy combination test: a powerful test with analytic p-value calculation under arbitrary dependency structures. (arXiv:1808.09011v1 [stat.ME]) arxiv.org/abs/1808.09011

The Lieb-Thirring inequality revisited. (arXiv:1808.09017v1 [math-ph]) arxiv.org/abs/1808.09017

On the Fundamental Limit of Private Information Retrieval for Coded Distributed Storage. (arXiv:1808.09018v1 [cs.IT]) arxiv.org/abs/1808.09018

The Entropy Power Inequality with quantum conditioning. (arXiv:1808.08231v1 [quant-ph]) arxiv.org/abs/1808.08231

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