arXiv Math @arxiv_math@qoto.org

Solvability of the B\'ezout Equation for Banach Algebra-Valued $H^\infty$ Functions on the Polydisk https://arxiv.org/abs/2512.23733 #mathCV

Linear Preservers of Real Matrix Classes Admitting a Real Logarithm https://arxiv.org/abs/2512.23735 #mathRT

A Discrete Logarithm Construction for Orthogonal Double Covers of the Complete Graph by Hamiltonian Paths https://arxiv.org/abs/2512.23802 #mathCO

Stochastic Galerkin Method and Hierarchical Preconditioning for PDE-constrained Optimization https://arxiv.org/abs/2512.23804 #mathOC #mathAP #mathNA #csNA

A note on the space-time variational formulation for the wave equation with source term in $L^2(Q)$ https://arxiv.org/abs/2512.23807 #mathNA #mathAP #csNA

Greedy Rational Approximation for Frequency-Domain Model Reduction of Parametric LTI Systems https://arxiv.org/abs/2512.23814 #mathNA #csNA

A new kind of automorphic form and a proof of the essential transformation laws https://arxiv.org/abs/2512.23823 #mathNT #mathph #mathAG #mathCO #mathCV #mathMP

Gradings on the Hecke category, and categorification with unequal parameters https://arxiv.org/abs/2512.23827 #mathRT

Hoffman-London graphs: When paths minimize $H$-colorings among trees https://arxiv.org/abs/2512.23828 #mathCO

$\mathcal{X}$-Gorenstein projective and $\mathcal{Y}$-Gorenstein injective modules over tensor rings https://arxiv.org/abs/2512.22132 #mathRA

A Course in Ring Theory https://arxiv.org/abs/2512.22133 #mathRA

A Mnemonic Matrix Rule for (Split) Octonionic Multiplication and its Extension to the Cayley--Dickson Tower https://arxiv.org/abs/2512.22134 #mathRA

Liouvillian integrability of rational vector fields: The case of algebraic extensions https://arxiv.org/abs/2512.22138 #mathRA

Exchangeability and randomness for infinite and finite sequences https://arxiv.org/abs/2512.22162 #mathST #statME #statTH

Research projects and Moscow Mathematical Conference for high school students https://arxiv.org/abs/2512.22191 #mathHO

Smarandache curves and their properties on null curves in lightlike cone space $\mathbb{Q}_{2}^{3}$ https://arxiv.org/abs/2512.22204 #mathGM

A New Special Function and Its Application in Probability https://arxiv.org/abs/2512.22224 #mathGM

A New Class of Fuzzy Inner Products and Fuzzy Norms over Ordered Intervals https://arxiv.org/abs/2512.22253 #mathGM

Orbifold Chern classes and Bogomolov-Gieseker inequalities https://arxiv.org/abs/2512.22273 #mathAG

On Radial Distribution and Quasi-exact Solvability of Brioschi-Halphen Equation https://arxiv.org/abs/2512.19751 #mathCA #mathph #mathFA #mathMP