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87,915 records
- Faster-than-power-law decay of order parameter correlations in the two-dimensional RP2 model: a rigorous result by vibe-proving
- Lehmer's totient problem with fewer than sixteen prime factors
- The book Ramsey number $R(B_{57},B_{58})=231$
- Reflexive Descent to Minimal Seeds in the Kreuzer--Skarke List
- Projective-plane determinant bounds for sparse binary matrices
- A 15/16 zero-free half-plane for angular Hecke L-functions over the Eisenstein field
- All $\tau_k$-maximal graphs have the same size
- Two conjectures of Wormald on Hamilton cycles in tournaments
- An explicit elementary proof of no Landau--Siegel zeros
- Asymptotically optimal degree for the double Hall property
- Non-Archimedean Smale Mean Value and Dubinin–Sugawa Dual Mean Value Problems
- Ramsey’s Theorem for Pairs in Pincus’s Model XI
- Nonexistence of lim Cohen–Macaulay modules following [Che26] and [Ang26]
- Exceptional zeros of Hecke $L$-functions
- Finiteness of Planar Central Configurations for Five Positive Masses
- Arithmetic of Jacobi polynomials
- A truncated theta-type series with triangular weights
- Gluing defects for projected coarse graining in finite spin-foam models
- Supersymmetric Yang--Mills theories with several times reduce to ten dimensions
- The Welch function is not third-order sum-free
- The minimum number of distinct abelian squares in a binary circular word
- Even-intersecting families of lattice paths and the Catalan numbers
- The bridge index and the nonorientable four-genus of knots with at most thirteen crossings
- Weil classes on abelian sixfolds of Weil type for $\mathbb{Q}(i)$ with discriminant $-3$
- The Number of Terms in Greedy Fibonacci--Lucas Representations
- Densest packings of two translates of a lattice in five dimensions
- Nilpotent-free spaces of 3 x 3 matrices over the field with three elements
- A counterexample to Liu's conjecture on Fano indices in dimension four
- The Real-Rooting Time Of Heat-Evolved Random Polynomials
- The strong Choquet characterization of Polish spaces
- Romanov's theorem: the integers of the form p + 2^k have positive lower density, with Erdős' complement, after Romanov 1934 and Erdős 1950
- Brun's theorem: the sum of the reciprocals of the twin primes converges, after Brun 1919, with the twin prime upper bound and every even gap
- The 50-color theorem for t-perfect graphs
- Schnirelmann's theorem: every integer n >= 2 is a sum of at most 30772 primes, after Schnirelmann 1933
- An XP Algorithm for Maximum-Weight Independent Set in Embedded Graphs, in Lean 4
- Ramanujan congruences for the partition function
- Classical Liénard equations of degree n ≥ 6 can have floor((n−1)/2)+4 limit cycles
- A formal proof that crown graphs maximise the representation number of bipartite graphs
- A universal group with thirteen relators
- Critical recovery, query lower bounds and binary-native width
- The fourth consecutive Dirichlet eigenvalue ratio
- Fixed-force anomalous dissipation
- Hamiltonian paths in rectangular grid graphs (Itai, Papadimitriou and Szwarcfiter)
- Dimension growth, polynomial in the degree (Castryck–Cluckers–Dittmann–Nguyen)
- The Erdős–Szemerédi sunflower conjecture
- Counting Steiner triple systems: Wilson (1974) and Linial–Luria (2013)
- Analysis of a left-shift binary GCD algorithm (Shallit–Sorenson 1994), with a proof of its sum-of-squares conjecture
- Continuity of the phase transition for planar random-cluster and Potts models with 1 <= q <= 4 (Theorems 1, 2 and 3)
- Shelah's bound for the Hales–Jewett numbers
- Iwaniec's linear sieve at the sifting limit and Jacobsthal's problem