An infinite set of one-range addition theorems without an infinite second series, for Slater orbitals and it derivatives, applicable more than one coordinate system arxiv.org/abs/2601.17034

The quaternionic systems of imprimitivity for the reflection groups of rank two arxiv.org/abs/2601.17075

Generalization on the higher moments of the Fourier coefficients of symmetric power $L$-functions arxiv.org/abs/2601.17079

The Mellin's transforms of $\dfrac{1}{\operatorname{arctanh} x}$ and $\dfrac{1}{\sqrt{1-x^2}\,\operatorname{arctanh} x}$ arxiv.org/abs/2601.17092

Euler-Poincar\'e Formulation of Barotropic Fluids Coupled with ADM Gravity arxiv.org/abs/2601.17104

A Lorentzian SU(3)-covariant noncommutative KP hierarchy and hypercomplex gauge fields arxiv.org/abs/2601.17105

A $3\times3$ linear $q$-difference system with $E_8^{(1)}$-symmetry arxiv.org/abs/2601.06070

Port--Hamiltonian Diffusion Models: A Control-Theoretic Perspective on Generative Modeling arxiv.org/abs/2601.06071

One if by Land, Two if by Sea, Three if by Four Seas, and More to Come -- Values of Perception, Prediction, Communication, and Common Sense in Decision Making arxiv.org/abs/2601.06077 .IT .AI .LG

Deep Q-Network Based Resilient Drone Communication:Neutralizing First-Order Markov Jammers arxiv.org/abs/2601.06095 .IT .AI

A Characterization of Quadrics Among Affine Hyperspheres by Section-Centroid Location arxiv.org/abs/2601.06107

Optimal Beamforming for Uplink Covert Communication in MIMO GEO Satellite-Terrestrial Systems arxiv.org/abs/2601.06110 .IT

Extended Target Adaptive Beamforming for ISAC:A Perspective of Predictive Error Ellipse arxiv.org/abs/2601.06125 .IT

On the Limits of Self-Improving in LLMs and Why AGI, ASI and the Singularity Are Not Near Without Symbolic Model Synthesis arxiv.org/abs/2601.05280 .IT .AI .LG

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