Results 161 to 170 of about 1,091 (231)

On a Ramsey–Turán variant of Roth's theorem

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract A classical theorem of Roth states that the maximum size of a solution‐free set of a homogeneous linear equation L$\mathcal {L}$ in Fp$\mathbb {F}_p$ is o(p)$o(p)$ if and only if the sum of the coefficients of L$\mathcal {L}$ is 0. In this paper, we prove a Ramsey–Turán variant of Roth's theorem, with respect to a natural notion of “structured”
Matija Bucić   +4 more
wiley   +1 more source

Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley   +1 more source

Finding an almost perfect matching in a hypergraph avoiding forbidden submatchings

open access: yesJournal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract In 1973, Erdős conjectured the existence of high girth (n,3,2)$(n,3,2)$‐Steiner systems. Recently, Glock, Kühn, Lo, and Osthus and independently Bohman and Warnke proved the approximate version of Erdős' conjecture. Recently, Kwan, Sah, Sawhney, and Simkin proved Erdős' conjecture.
Michelle Delcourt, Luke Postle
wiley   +1 more source

Combining exchangeable <i>P</i>-values. [PDF]

open access: yesProc Natl Acad Sci U S A
Gasparin M, Wang R, Ramdas A.
europepmc   +1 more source

On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley   +1 more source

Lefschetz decompositions of Kudla–Millson theta functions

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract In the 1980s Kudla and Millson introduced a theta function in two variables. It behaves as a Siegel modular form with respect to the first variable, and is a closed differential form on an orthogonal Shimura variety X$X$ with respect to the other variable. We prove that the Lefschetz decomposition of the cohomology class of that theta function
Jan Hendrik Bruinier, Riccardo Zuffetti
wiley   +1 more source

The Arithmetic-Mean - Geometric-Mean Inequality Derived from Closed Polynomial Functions

open access: yesMissouri Journal of Mathematical Sciences, 1999
Joseph, James E., Kwack, Myung H.
openaire   +2 more sources

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