Results 151 to 160 of about 2,791 (184)

Diophantine tuples and product sets in shifted powers

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley   +1 more source

Local equivalence and refinements of Rasmussen's s‐invariant

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield   +2 more
wiley   +1 more source

The ∞$\infty$‐categorical reflection theorem and applications

open access: yesJournal of Topology, Volume 19, Issue 1, March 2026.
Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley   +1 more source

Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]

open access: yesProbab Theory Relat Fields
De Vecchi F   +3 more
europepmc   +1 more source

Free quantum computing. [PDF]

open access: yesProc Natl Acad Sci U S A
Carette J   +4 more
europepmc   +1 more source

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