{"total":13,"items":[{"citing_arxiv_id":"2606.13324","ref_index":10,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"Basis sets and Coulomb resolutions in rotational coordinates","primary_cat":"astro-ph.GA","submitted_at":"2026-06-11T13:15:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Derives three closed-form basis sets using a single Jacobi polynomial in prolate spheroidal and cylindrical coordinates and shows transformations between spherical, prolate spheroidal, bispherical, and toroidal systems.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.02415","ref_index":31,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"On rational representations and rational group algebra of $\\operatorname{GL}_2(q)$","primary_cat":"math.RT","submitted_at":"2026-06-01T15:57:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Authors derive combinatorial descriptions for the number of inequivalent irreducible rational representations of GL_2(q) by degree and an explicit q-dependent formula for the Wedderburn decomposition of its rational group algebra.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.00736","ref_index":2,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"On classical and Gorenstein homological invariants of rings","primary_cat":"math.RA","submitted_at":"2026-05-30T14:02:04+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Proves sup pd(Flat_R) = sup Gpd(GFlat_R) for arbitrary rings, giving Gorenstein-based characterizations of n-perfect and weakly n-Σ-cotorsion rings.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.25780","ref_index":37,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"Interior a priori estimate for higher order elliptic systems in Orlicz spaces","primary_cat":"math.AP","submitted_at":"2026-05-25T12:28:11+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"Establishes boundedness of singular integral operators and commutators in Orlicz spaces L^Φ under Δ2 and ∇2 conditions on the Young function, providing foundation for interior regularity of higher-order elliptic operators.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.24923","ref_index":8,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"Singularising preserving countable additivity quantum channels on quantum measurable cardinals","primary_cat":"quant-ph","submitted_at":"2026-05-24T08:02:13+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"The paper gives a sufficient condition, relying on Ulam measurable cardinals, for the existence of quantum channels that turn normal states into singular yet strictly σ-additive states via Yosida-Hewitt decomposition.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.24694","ref_index":37,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"Sum rules and a second order Feynman-Hellman theorem for abstract operators with applications","primary_cat":"math.SP","submitted_at":"2026-05-23T18:14:09+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Derives a second-order sum rule for eigenvalues of abstract Hamiltonian families and applies it to Lieb-Thirring bounds, Bessel zeros, and trace inequalities.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.22941","ref_index":33,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"Invariants of real affine varieties based on their complexifications","primary_cat":"math.AG","submitted_at":"2026-05-21T18:16:41+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"New invariants extracted from the topology of complexifications of real algebraic sets classify algebraic vector bundles over sphere products and obstruct weak algebraic approximation, disproving Kucharz-Kurdyka conjecture.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.16688","ref_index":3,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"On the small-step quarter plane lattice walks with a non D-finite univariate generating function","primary_cat":"math.CO","submitted_at":"2026-05-15T22:52:05+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Partial advance on the conjecture that a quarter-plane walk's univariate generating function is D-finite precisely when its group is finite, by establishing non-D-finiteness for 21 infinite-group cases and stating a conjecture for 21 others.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.27670","ref_index":12,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Hamilton--Jacobi theory for non-conservative field theories in the $k$-contact framework","primary_cat":"math-ph","submitted_at":"2026-04-30T10:05:08+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Develops Hamilton-Jacobi theory for non-conservative classical field theories in the k-contact framework, with z-independent and z-dependent approaches, affine/quadratic Hamiltonian cases, and recovery of the k=1 contact theory.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"a new paradigm for local quantum physics.Comm. Math. Phys., 237(1-2):31-68, 2003. 10.1007/s00220-003-0815-7. [11] O. Carballal. New lie systems from goursat distributions: Reductions and reconstructions. In F. Nielsen and F. Barbaresco, editors,Geometric Science of Information, volume 16035 ofLecture Notes in Computer Science, pages 311-319, Cham, 2026. Springer. [12] M. Castrillón, T. S. Ratiu, and S. Shkoller. Reduction in Principal Fiber Bundles: Covariant Euler-PoincaréEquations.Proc. Amer. Math. Soc.,128(7):2155-2164, 2000. 10.1090/S0002- 9939-99-05304-6. 51 Hamilton-Jacobi theory for non-conservative field theories in thek-contact framework [13] M. De León, D. Martín de Diego, J. C. Marrero, M. Salgado, and S."},{"citing_arxiv_id":"2604.25854","ref_index":1,"ref_count":2,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Quantum channels preserving sigma-additivity and Ulam measurable cardinals","primary_cat":"quant-ph","submitted_at":"2026-04-28T16:57:17+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Quantum channels built from sigma-complete ultrafilters map normal states to singular sigma-additive states on ell_2(kappa) precisely when kappa is Ulam measurable.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.23936","ref_index":5,"ref_count":1,"confidence":0.88,"is_internal_anchor":false,"paper_title":"Observable diameters with varying screens","primary_cat":"math.MG","submitted_at":"2026-04-27T01:20:34+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Obtains limit formula for observable diameter with non-Euclidean screen and defines error versions for sequences with varying screens.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.07499","ref_index":7,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"Consistency of the LQG quantization of black holes coupled with scalar matter and a clock","primary_cat":"gr-qc","submitted_at":"2026-04-08T18:36:31+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Gauge-fixed LQG quantization of spherically symmetric gravity plus scalar matter reproduces the Dirac quantization results for vacuum black holes throughout the outer region.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2601.06009","ref_index":18,"ref_count":1,"confidence":0.5,"is_internal_anchor":false,"paper_title":"Detecting Stochasticity in Discrete Signals via Nonparametric Excursion Theorem","primary_cat":"stat.ML","submitted_at":"2026-01-09T18:47:57+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"A model-free diffusion test for discrete time series that uses the scaling of excursion counts with quadratic variation to classify signals as stochastic or deterministic.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}