| The unit group L_F2(1,2)× of the binary Leavitt algebra is not sofic. | 2026-08-01 | 2026-08-02 · 25 days ago | 2 | 0 | 0 |
| lim inf as T → ∞ of N₀*(T, 2T) / N(T, 2T) ≥ 3/2 − (1/√2) cot(1/√2) = 0.67250… . | 2026-08-11 | 2026-08-11 · 16 days ago | 3 | 0 | 0 |
| The manuscript gives a partial result toward Erdős Problem #653, proving an improved upper bound g(n) ≤ n − 1 − cε n^(0.81668−ε). | 2026-08-16 | 2026-08-16 · 11 days ago | 3 | 0 | 0 |
| The paper proves Problem #726 conditionally on an explicitly stated reciprocal-prime equidistribution hypothesis. | 2026-08-16 | 2026-08-16 · 11 days ago | 4 | 0 | 0 |
| The submission claims a full proof that, for every N >= 1, the maximum size of a set A subset of {1, ..., N} such that ab + 1 is nonsquarefree for every a, b in A is floor((N + 18)/25). | 2026-08-22 | 2026-08-22 · 5 days ago | 3 | 0 | 0 |
| The submission claims a proof of the first assertion of Erdős Problem #132 for n = 8: every eight-point planar set has two distinct distances occurring at most eight times. | 2026-08-23 | 2026-08-23 · 4 days ago | 2 | 0 | 0 |