- Lavrentieff's Gδ homeomorphism extension theorem
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
Palomar RegistrySource: github.comOct 23, 2026math.GNmachine-checkedscore 0
- The strong Choquet characterization of Polish spaces
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
Palomar RegistrySource: github.comOct 22, 2026math.GNmachine-checkedscore 0
- Romanov's theorem: the integers of the form p + 2^k have positive lower density, with Erdős' complement, after Romanov 1934 and Erdős 1950
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- 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
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- The 50-color theorem for t-perfect graphs
Sang-il Oum
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- Schnirelmann's theorem: every integer n >= 2 is a sum of at most 30772 primes, after Schnirelmann 1933
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- An XP Algorithm for Maximum-Weight Independent Set in Embedded Graphs, in Lean 4
Robert D. Barish
Palomar RegistrySource: github.comOct 22, 2026cs.DSmachine-checkedscore 0
- Ramanujan congruences for the partition function
Carter Hastings
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Classical Liénard equations of degree n ≥ 6 can have floor((n−1)/2)+4 limit cycles
Michael Mislan
Palomar RegistrySource: github.comOct 22, 2026math.DSmachine-checkedscore 0
- A formal proof that crown graphs maximise the representation number of bipartite graphs
Matthew J. Colbrook, Catherine Drysdale
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- A universal group with thirteen relators
Qiuyu Ren
Palomar RegistrySource: github.comOct 22, 2026math.GRmachine-checkedscore 0
- Critical recovery, query lower bounds and binary-native width
Idris Ali Shaik
Palomar RegistrySource: github.comOct 22, 2026cs.CCmachine-checkedscore 0
- The fourth consecutive Dirichlet eigenvalue ratio
Jiachen Shi, Quanyu Tang
Palomar RegistrySource: github.comOct 22, 2026math.SPmachine-checkedscore 0
- Fixed-force anomalous dissipation
Tao Tao, Baishu Zeng, Haiqi Zhang
Palomar RegistrySource: github.comOct 22, 2026math.APmachine-checkedscore 0
- Hamiltonian paths in rectangular grid graphs (Itai, Papadimitriou and Szwarcfiter)
Z. Zzyzek (github: zzyzek)
Palomar RegistrySource: github.comOct 22, 2026cs.DMmachine-checkedscore 0
- Dimension growth, polynomial in the degree (Castryck–Cluckers–Dittmann–Nguyen)
Jason Davies
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- The Erdős–Szemerédi sunflower conjecture
Matija Bucić, Fankang He, Hyunwoo Lee
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- Counting Steiner triple systems: Wilson (1974) and Linial–Luria (2013)
Juan Pablo Traverso Gianini
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- Analysis of a left-shift binary GCD algorithm (Shallit–Sorenson 1994), with a proof of its sum-of-squares conjecture
Jason Davies
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Continuity of the phase transition for planar random-cluster and Potts models with 1 <= q <= 4 (Theorems 1, 2 and 3)
Zijie Zhuang
Palomar RegistrySource: github.comOct 22, 2026math.PRmachine-checkedscore 0
- Shelah's bound for the Hales–Jewett numbers
Gabriel Dahia
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- Iwaniec's linear sieve at the sifting limit and Jacobsthal's problem
Jason Davies
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Conditional on RH: the Cesàro average of the number of Goldbach representations, after Goldston and Yang
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Mann's alpha plus beta theorem for Schnirelmann density, after Mann 1942
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Conditional on RH: the number of Goldbach representations on average, after Languasco and Zaccagnini
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- The Bombieri-Vinogradov theorem, Bombieri 1965 and A. I. Vinogradov 1965, classical form with the maximum over y <= x
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Noncrossing Two-Nearest-Predecessor Orders on Nearly Circular Ellipses
John Fairfax-Ball
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- Renyi's theorem, Renyi 1948: every large even number is a prime plus a number with at most 8 prime factors
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Szemerédi's theorem with random differences
Gabriel Dahia
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- The least physical dimension of an inflation-symmetric model set, with the cubic, quartic and degree-12 inflations of x^3 - x - 1 and x^4 - x - 1
Stephanie Alexander
Palomar RegistrySource: github.comOct 22, 2026math.MGmachine-checkedscore 0
- Sum of sets in several dimensions
Gabriel Dahia
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- An exact average Goldbach representation formula, after Goldston and Suriajaya
Steve Hubbard
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Helling's theorem: the maximal subgroups of SL₂(ℝ) commensurable with SL₂(ℤ)
Filip Najman
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Continuous open images of Polish spaces
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
Palomar RegistrySource: github.comOct 22, 2026math.GNmachine-checkedscore 0
- The expander mixing lemma and the Alon–Boppana bound
Juan Pablo Traverso Gianini
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- Cubic-rate irrationality for reciprocal sums
Will Cook
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Uniform sparse rationalisation of dyadic series
Will Cook
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Infinite rank of the three-prime running-LCM kernel
Will Cook
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- An explicit rational-base irrationality region for Zudilin's Lambert series
Will Cook
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Carry and divisor-channel criteria for the factorial-minus-one reciprocal series
Will Cook
Palomar RegistrySource: github.comOct 22, 2026math.NTmachine-checkedscore 0
- Open Baire-space representation of Polish spaces
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
Palomar RegistrySource: github.comOct 22, 2026math.GNmachine-checkedscore 0
- Alexandrov–Urysohn characterization of Baire space
Arthur Freitas Ramos, David Barros Hulak, Ruy Jose Guerra Barretto de Queiroz
Palomar RegistrySource: github.comOct 22, 2026math.GNmachine-checkedscore 0
- The Bondy–Simonovits even cycle theorem
Juan Pablo Traverso Gianini
Palomar RegistrySource: github.comOct 22, 2026math.COmachine-checkedscore 0
- Jaeger's 4-flow and 8-flow theorems and Seymour's 6-flow theorem
Juan Pablo Traverso Gianini
Palomar RegistrySource: github.comOct 21, 2026math.COmachine-checkedscore 0
- Canonical streaming enumeration of eligible detections
Idris Ali Shaik
Palomar RegistrySource: github.comOct 21, 2026cs.DMmachine-checkedscore 0
- Discontinuity of the phase transition for the planar random-cluster and Potts models with q > 4 (Theorems 1.1 and 1.2)
Zijie Zhuang
Palomar RegistrySource: github.comOct 21, 2026math.PRmachine-checkedscore 0
- Wu 2008 Lemma 2.2, Chen's double sieve inequality, with the range of the last sum repaired
Steve Hubbard
Palomar RegistrySource: github.comOct 21, 2026math.NTmachine-checkedscore 0
- Lovász's bound on the Shannon capacity
Juan Pablo Traverso Gianini
Palomar RegistrySource: github.comOct 21, 2026math.COmachine-checkedscore 0
- Formalization of a curved three-dimensional simplex Hilbert transform
Polona Durcik, Marco Fraccaroli, Joris Roos
Palomar RegistrySource: github.comOct 21, 2026math.CAmachine-checkedscore 0
- Vinogradov's three primes theorem and almost all binary Goldbach, after Heath-Brown 1985, with the Siegel-Walfisz theorem
Steve Hubbard
Palomar RegistrySource: github.comOct 21, 2026math.NTmachine-checkedscore 0