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Characterizations of $\mathbb{N}$-compactness and realcompactness via ultrafilters in the absence of the axiom of choice arxiv.org/abs/2408.01461

Representations of Real Numbers by Alternating Perron Series and Their Geometry arxiv.org/abs/2408.01465

Mittag-Leffler Poisson Distribution Series and Their Application to Univalent Functions arxiv.org/abs/2408.01466

On the max min of the algebraic degree and the nonlinearity of a Boolean function on an affine subspace arxiv.org/abs/2408.01477

A very short proof of Sidorenko's inequality for counts of homomorphism between graphs arxiv.org/abs/2408.01478

Abstract Left-Definite Theory: A Model Operator Approach, Examples, Fractional Sobolev Spaces, and Interpolation Theory arxiv.org/abs/2408.01514

Quantification and Validation for Degree of Understanding in M2M Semantic Communications arxiv.org/abs/2408.00767 .IT .CL

On the intimate association between even binary palindromic words and the Collatz-Hailstone iterations arxiv.org/abs/2408.00805

On q-series identities with multiple sums related to divisor functions arxiv.org/abs/2408.00807

Brook's type upper bounds for coloring parameters of infinite graphs and Konig's Lemma arxiv.org/abs/2408.00812

A Novel Use of Pseudospectra in Mathematical Biology: Understanding HPA Axis Sensitivity arxiv.org/abs/2408.00845

Existence of BV solutions for $2\times2$ hyperbolic balance laws for $L^\infty$ initial data arxiv.org/abs/2408.00849

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