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871 records
- A finite counterexample for strict consecutive totient patterns
- Distinguishing sets and measures from their planar Brownian images
- Dross's theorem on fractional triangle decompositions
- The Beck–Fiala integer-making theorem
- H2 obstruction to lifting discrete matrix representations
- Near-regular hypergraph matchings and the asymptotic triangle-packing gap
- CollatzPosDens
- The MDS conjecture over finite fields of even order
- Localized two-eigenvalue bound for finite noncomplete graphs
- Perfect images of metrizable spaces
- The crystallographic restriction in every dimension: GL(N, ℤ) has an element of order m if and only if ψ(m) ≤ N
- Kuratowski's theorem
- Kőnig's theorems and Dilworth's theorem
- Classical bounds for graph Ramsey numbers
- Exponential separation of analytic self-conformal sets on the real line: Lean formalisation
- A uniform zero-free region for Dedekind zeta functions
- The full Nagata–Smirnov metrization theorem
- The sparsification theorem of Batson, Spielman and Srivastava
- Fixed-dimensional separated Euclidean distances below 0.74 n squared
- Erdős 836: vertex counts and pairwise edge intersections in 3-chromatic intersecting uniform hypergraphs
- Heterogeneous Hegselmann–Krause dynamics: counterexamples to two conjectures and a theorem of Mirtabatabaei and Bullo
- Triangle-free graphs with prescribed chromatic number
- Möbius invariance of the Ramsey property for finite spherical sets
- Flatness of one-homogeneous one-phase Bernoulli minimizers in dimensions at most six
- Optimal universal 1 → 2 qubit cloning at fidelity 5/6, the universal-NOT, and asymmetric cloning
- Expected syzygies and Fröberg’s conjecture through degree 2d
- Optimality and uniqueness of Romik's ambidextrous sofa, formalized in Lean 4
- Perfect surjections and paracompactness
- Erdős 1105: anti-Ramsey numbers for cycles and paths
- The Hajnal–Szemerédi theorem on equitable colourings
- A lower bound of 21 for 3 × 3 matrix multiplication over every field
- Low-discrepancy quasi-uniform digital nets in every dimension
- Improved Sidorenko bound for hypergraph Turán densities
- Erdős problem #266: the Kovač–Tao disproof of Stolarsky's conjecture
- Generalized Markoff strong approximation
- Lower bounds for the covering numbers C(24,14,4) and C(25,15,5)
- Erdős 252: irrationality of the factorial divisor-sum series
- Aging in Spherical Spin Glass Dynamics
- Dowker's countable paracompactness, product normality and strict insertion characterization
- Finitely generated positive cones in F_n × Z
- Erdős 1180: representing residues as sums of modular inverses with small denominators
- Sharp last-iterate bounds and extremal trajectories for constant-step gradient descent
- Classical theorems of Fröhlich and Spencer: the Kosterlitz–Thouless transition, massless phases of abelian gauge theories, and Anderson localization
- Hilbert functions of chopped ideals of general plane points
- Modular Schur numbers: S_m(k,ℓ) = n − 1 for k ≥ n − 1, where n = m/gcd(m,ℓ−1)
- Explicit uniformly bounded bases of homogeneous holomorphic polynomials in every dimension
- Kinetic Aleksandrov estimates
- Nearly Minimax Rates for Functional Estimation Under Rough Random Design
- De Giorgi–Nash–Moser theory under coarse ellipticity
- A 7-vertex tournament whose Sperner capacity exceeds the order of its largest transitive subtournament: T₇, induced by the Paley tournament on 23 vertices on 0, 1, 2, 3, 9, 14, 18, has t = 4 and √18 ≤ C ≤ 5; every tournament on at most six vertices has C = t, so seven is the least order