Results 201 to 210 of about 59,541 (246)

GCD inequalities arising from codimension‐2 blowups

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Assuming a deep Diophantine geometry conjecture by Vojta, Silverman proved an inequality giving an upper bound for the greatest common divisor (GCD). In this paper, we unconditionally prove a weaker version of this inequality. The main ingredient is the Ru–Vojta theory, which provides an efficient method of using Schmidt subspace theorem.
Yu Yasufuku
wiley   +1 more source

Function spaces for decoupling

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We introduce new function spaces LW,sq,p(Rn)$\mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$ that yield a natural reformulation of the ℓqLp$\ell ^{q}L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless p=q$p=q$, in ...
Andrew Hassell   +3 more
wiley   +1 more source

Noncommutative polygonal cluster algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein–Retakh, and are inspired by the emerging theory of Θ$\Theta$‐positivity for the groups Spin(p,q)$\mathrm{Spin}(p,q)$.
Zachary Greenberg   +3 more
wiley   +1 more source

The second moment of sums of Hecke eigenvalues II

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let f$f$ be a holomorphic Hecke cusp form of weight k$k$ for SL2(Z)$\mathrm{SL}_2(\mathbb {Z})$, and let (λf(n))n⩾1$(\lambda _f(n))_{n\geqslant 1}$ denote its sequence of normalised Hecke eigenvalues. We compute the first and second moments of the sums S(x,f)=∑x⩽n⩽2xλf(n)$\mathcal {S}(x,f)=\sum _{x\leqslant n\leqslant 2x} \lambda _f(n)$, on ...
Ned Carmichael
wiley   +1 more source

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