Results 81 to 90 of about 60,914 (171)
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Integrating computational thinking into secondary school mathematics teaching: A literature review
Review of Education, Volume 14, Issue 1, April 2026.Abstract Computational thinking (CT) has established itself as a fundamental skill for the 21st century, driving its integration into various disciplines, especially mathematics. This systematic review of the literature aimed to analyse how the integration of CT has been conceptualized and implemented in mathematics teaching in the context of secondary
María Isabel Ruiz Recio +2 more
wiley +1 more source
Some bounds related to the 2‐adic Littlewood conjecture
Mathematika, Volume 72, Issue 2, April 2026.Abstract For every irrational real α$\alpha$, let M(α)=supn⩾1an(α)$M(\alpha) = \sup _{n\geqslant 1} a_n(\alpha)$ denote the largest partial quotient in its continued fraction expansion (or ∞$\infty$, if unbounded). The 2‐adic Littlewood conjecture (2LC) can be stated as follows: There exists no irrational α$\alpha$ such that M(2kα)$M(2^k \alpha)$ is ...
Dinis Vitorino, Ingrid Vukusic
wiley +1 more source
Non‐vanishing of Poincaré series on average
Mathematika, Volume 72, Issue 2, April 2026.Abstract We study when Poincaré series for congruence subgroups do not vanish identically. We show that almost all Poincaré series with suitable parameters do not vanish when either the weight k$k$ or the index m$m$ varies in a dyadic interval. Crucially, analyzing the problem ‘on average’ over these weights or indices allows us to prove non‐vanishing ...
Ned Carmichael, Noam Kimmel
wiley +1 more source
Discrepancy of arithmetic progressions in boxes and convex bodies
Mathematika, Volume 72, Issue 2, April 2026.Abstract The combinatorial discrepancy of arithmetic progressions inside [N]:={1,…,N}$[N]:= \lbrace 1, \ldots, N\rbrace$ is the smallest integer D$D$ for which [N]$[N]$ can be colored with two colors so that any arithmetic progression in [N]$[N]$ contains at most D$D$ more elements from one color class than the other.
Lily Li, Aleksandar Nikolov
wiley +1 more source
SINGULARITIES IN ARITHMETIC GEOMETRY (Algebraic Number Theory and Related Topics)
SINGULARITIES IN ARITHMETIC GEOMETRY (Algebraic Number Theory and Related Topics)This is a report of the recent developments on the study of singularities in positive and mixed characteristics based on the talk delivered by the author in the workshop “Algebraic Number Theory and Related Topics 2023” in Kyoto University. Since Y. André proved the direct summand conjecture via perfectoid spaces, many interesting and exciting results ...
openaire
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
wiley +1 more source
Variants of a theorem of Macbeath in finite‐dimensional normed spaces
Mathematika, Volume 72, Issue 2, April 2026.Abstract A classical theorem of Macbeath states that for any integers d⩾2$d \geqslant 2$, n⩾d+1$n \geqslant d+1$, d$d$‐dimensional Euclidean balls are hardest to approximate, in terms of volume difference, by inscribed convex polytopes with n$n$ vertices.
Zsolt Lángi, Shanshan Wang
wiley +1 more source
Studies on singular Hermitian metrics and their applications in algebraic geometry
Studies on singular Hermitian metrics and their applications in algebraic geometry学位の種別: 課程博士 審査委員会委員 : （主査）東京大学教授 高山 茂晴, 東京大学教授 平地 健吾, 東京大学教授 小木曽 啓示, 東京大学教授 高木 俊輔, 東京大学准教授 權業 ...
openaire
International Journal of Robust and Nonlinear Control, Volume 36, Issue 5, Page 2542-2556, 25 March 2026.ABSTRACT This article addresses the problem of quantifying the uncertainty in planning aircraft ground movement operations using towbarless robotic tractors taking into account the inherent uncertainties of the problem, specifically, the uncertainties in the weight of the aircraft and in the rolling resistance of the wheels of the main landing gear ...
Almudena Buelta +2 more
wiley +1 more source