- Erdős 1105: anti-Ramsey numbers for cycles and paths
Linmiao Xu
Palomar RegistryOct 13, 2026math.COmachine-checkedscore 0
- The Hajnal–Szemerédi theorem on equitable colourings
Juan Pablo Traverso Gianini
Palomar RegistryOct 13, 2026math.COmachine-checkedscore 0
- A lower bound of 21 for 3 × 3 matrix multiplication over every field
Andrey Ivanov
Palomar RegistryOct 13, 2026cs.CCmachine-checkedscore 0
- Low-discrepancy quasi-uniform digital nets in every dimension
Leonhard Gruenschloss
Palomar RegistryOct 13, 2026math.NTmachine-checkedscore 0
- Improved Sidorenko bound for hypergraph Turán densities
Xizhi Liu
Palomar RegistryOct 13, 2026math.COmachine-checkedscore 0
- Erdős problem #266: the Kovač–Tao disproof of Stolarsky's conjecture
Ben Keene
Palomar RegistryOct 12, 2026math.NTmachine-checkedscore 0
- Generalized Markoff strong approximation
Yuma Mizuno
Palomar RegistryOct 12, 2026math.NTmachine-checkedscore 0
- Lower bounds for the covering numbers C(24,14,4) and C(25,15,5)
James Chang
Palomar RegistryOct 12, 2026math.COmachine-checkedscore 0
- Erdős 252: irrationality of the factorial divisor-sum series
Tokengrinder
Palomar RegistryOct 12, 2026math.NTmachine-checkedscore 0
- Aging in Spherical Spin Glass Dynamics
P. M. Aronow, Patrick Lopatto
Palomar RegistryOct 12, 2026math.PRmachine-checkedscore 0
- Dowker's countable paracompactness, product normality and strict insertion characterization
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
Palomar RegistryOct 12, 2026math.GNmachine-checkedscore 0
- Finitely generated positive cones in F_n × Z
Hang Lu Su
Palomar RegistryOct 12, 2026math.GRmachine-checkedscore 0
- Erdős 1180: representing residues as sums of modular inverses with small denominators
Linmiao Xu
Palomar RegistryOct 12, 2026math.NTmachine-checkedscore 0
- Sharp last-iterate bounds and extremal trajectories for constant-step gradient descent
JD Jones
Palomar RegistryOct 12, 2026math.OCmachine-checkedscore 0
- Classical theorems of Fröhlich and Spencer: the Kosterlitz–Thouless transition, massless phases of abelian gauge theories, and Anderson localization
Scott Armstrong, Amélie Loher
Palomar RegistryOct 12, 2026math-phmachine-checkedscore 0
- Hilbert functions of chopped ideals of general plane points
Vlado Vojdanovski
Palomar RegistryOct 12, 2026math.AGmachine-checkedscore 0
- Modular Schur numbers: S_m(k,ℓ) = n − 1 for k ≥ n − 1, where n = m/gcd(m,ℓ−1)
Adam McKenna
Palomar RegistryOct 11, 2026math.COmachine-checkedscore 0
- Explicit uniformly bounded bases of homogeneous holomorphic polynomials in every dimension
Mark Lewko
Palomar RegistryOct 11, 2026math.CVmachine-checkedscore 0
- Kinetic Aleksandrov estimates
Amélie Loher
Palomar RegistryOct 11, 2026math.APmachine-checkedscore 0
- Nearly Minimax Rates for Functional Estimation Under Rough Random Design
P. M. Aronow, Patrick Lopatto
Palomar RegistryOct 11, 2026stat.MEmachine-checkedscore 0
- De Giorgi–Nash–Moser theory under coarse ellipticity
Scott Armstrong, Benny Avelin, Tuomo Kuusi, Aatu Turpeinen
Palomar RegistryOct 11, 2026math.APmachine-checkedscore 0
- 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
JD Jones
Palomar RegistryOct 11, 2026math.COmachine-checkedscore 0
- Finite-size mean bias of the Sherrington-Kirkpatrick free energy
P. M. Aronow, Patrick Lopatto
Palomar RegistryOct 11, 2026math.PRmachine-checkedscore 0
- Matrix multiplication: omega at most 9/4 over every ring
Sela Navot
Palomar RegistryOct 11, 2026cs.CCmachine-checkedscore 0
- Integrability of Liouville theory: the Kupiainen–Rhodes–Vargas proof of the DOZZ formula
Scott Armstrong, Amélie Loher
Palomar RegistryOct 11, 2026math.PRmachine-checkedscore 0
- Anomalous scaling limit of a Brownian particle in a log-correlated potential
Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi
Palomar RegistryOct 11, 2026math.PRmachine-checkedscore 0
- Zero-density estimates from an improved large-values bound
Mark Lewko
Palomar RegistryOct 11, 2026math.NTmachine-checkedscore 0
- Realizations and dynamics of shared-resource mass-action systems
Michael Mislan
Palomar RegistryOct 11, 2026math.DSmachine-checkedscore 0
- Unimodality of the independence sequence of a finite forest (Erdős Problem 993)
Kevin Vallier, Tong Zhang
Palomar RegistryOct 11, 2026math.COmachine-checkedscore 0
- Michael's biquotient-map product and characterization theorems
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
Palomar RegistryOct 11, 2026math.GNmachine-checkedscore 0
- An explicit computable transcendental counterexample for Erdős Problem #206
Yuhang Shi
Palomar RegistryOct 11, 2026math.NTmachine-checkedscore 0
- Erdos607
Raphael Delors
Palomar RegistryOct 11, 2026math.COmachine-checkedscore 0
- Erdős 261: dyadic weighted representations n / 2^n = ∑ a_k / 2^(a_k)
Linmiao Xu
Palomar RegistryOct 11, 2026math.NTmachine-checkedscore 0
- Replica symmetry breaking at arbitrary depth
P. M. Aronow, Patrick Lopatto
Palomar RegistryOct 11, 2026math.PRmachine-checkedscore 0
- Fröberg's conjecture through degree 2d in sufficiently many variables
Vlado Vojdanovski
Palomar RegistryOct 11, 2026math.ACmachine-checkedscore 0
- Exact robust gaps in finite open chiral chains
JD Jones
Palomar RegistryOct 11, 2026math.SPmachine-checkedscore 0
- Quantitative permanence and recovery with vanishing reverse rates
Michael Mislan
Palomar RegistryOct 11, 2026math.DSmachine-checkedscore 0
- Erdős Problem #824 under a smooth shifted-prime hypothesis
Shisheng Li, Zhong Zhuang
Palomar RegistryOct 11, 2026math.NTmachine-checkedscore 0
- An Exponent of 1.043 for the Unit Distance Problem: Lean formalization at exponent 1.04315, conditional on one zeta inequality
Eric Naslund
Palomar RegistryOct 10, 2026math.COmachine-checkedscore 0
- Full replica symmetry breaking in the Sherrington–Kirkpatrick model
P. M. Aronow, Patrick Lopatto
Palomar RegistryOct 10, 2026math.PRmachine-checkedscore 0
- Nearly minimax variance estimation under rough random design
P. M. Aronow, Patrick Lopatto
Palomar RegistryOct 10, 2026math.STmachine-checkedscore 0
- An interval-moment criterion for square-difference-free integer sets
Eric Naslund
Palomar RegistryOct 9, 2026math.NTmachine-checkedscore 0
- Ginibre Poincaré formalization
Djalil Chafaï
Palomar RegistryOct 9, 2026math.PRmachine-checkedscore 0
- The generalized Fermat equation x² + y⁵ = z⁷
Manvir Jaswal
Palomar RegistryOct 9, 2026math.NTmachine-checkedscore 0
- Strict Dirichlet Pólya inequality on simply connected planar domains
Quanyu Tang, Zuoqin Wang
Palomar RegistryOct 9, 2026math.SPmachine-checkedscore 0
- A zero-density estimate with exponent 3(1−σ)/(2σ) for the Riemann zeta function
Mark Lewko
Palomar RegistryOct 9, 2026math.NTmachine-checkedscore 0
- Erdős Problem 809: an independent proof of the seven-cycle threshold
Asad Shahab
Palomar RegistryOct 9, 2026math.COmachine-checkedscore 0
- Strict Neumann Polya inequality on simply connected planar domains
Quanyu Tang, Zuoqin Wang
Palomar RegistryOct 9, 2026math.SPmachine-checkedscore 0
- Finite Chains of Two-Complexes and Acyclic Covers
Laurent Bartholdi, Roman Mikhailov
Palomar RegistryOct 9, 2026math.GTmachine-checkedscore 0
- Brill--Noether existence and rank for graphs through genus six
Nathan Pflueger
Palomar RegistryOct 9, 2026math.COmachine-checkedscore 0