Finite products in commutative monoids: well-definition, recursion on finite subsets, and why the empty product is $1$ arxiv.org/abs/2605.08089

Residue Constraints in the Rank-Three Lifting Problem for Projective-Plane Incidence Matrices arxiv.org/abs/2605.08090

Unitary-Invariant Decomposition of Reducible Total Least Squares Core Problems arxiv.org/abs/2605.08091

Additive preservers of mutual strong Birkhoff-James orthogonality on finite-dimensional $C^\ast$-algebras arxiv.org/abs/2605.08096

Localization, Local--Global Transfer, and Hull Theory for $C4^{\ast}$-Modules over Commutative Rings arxiv.org/abs/2605.08097

Exact-Sequence Stability and Ambient Realizations for $C4^{\ast}$-Modules arxiv.org/abs/2605.08099

Determinant Bounds for $(n-1)$-Locally Positive Semidefinite Matrices arxiv.org/abs/2605.08101

Secure Integrated Sensing and Communication: Information Theory Offers Insights arxiv.org/abs/2605.08106 .SY .IT .CR .ET .SY

Corrigendum to `Evaluation of motivic functions, non-nullity, and integrability in fibers', Advances in Mathematics, Vol. 409, Part A, Paper No. 108635, 29 pages, doi:10.1016/j.aim.2022.108635 (2022) arxiv.org/abs/2605.06674

Asymptotic Convergence of Weniger's $\delta$-Transformation for a Class of Superfactorially Divergent Stieltjes Series arxiv.org/abs/2605.06687

A Quadratic-Form Representation of the Scalar Casimir Trace from Codimension-Three Riesz Reduction arxiv.org/abs/2605.06693

Sharp Bounds and Extremal Fuzzy Graphs for the Fuzzy Sombor Index arxiv.org/abs/2605.06695

Three-term arithmetic progressions of consecutive powerful numbers arxiv.org/abs/2605.06697

A fixed point iteration method for the arctangent with any odd order of convergence based on sine and cosine arxiv.org/abs/2605.06698

Linearization Problem for Third-Order ODEs with Four- and Five-Dimensional Lie Symmetry Algebras under Contact Transformations arxiv.org/abs/2605.06704

The Taylor Integral and a Generalization of the Discrete Fourier Transform arxiv.org/abs/2605.06706

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