Results 21 to 30 of about 287 (124)

Diophantine tuples and product sets in shifted powers

Journal 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

Optimising Wave Energy Plant Location Through Neutrosophic Multi‐Criteria Group Decision‐Making

CAAI Transactions on Intelligence Technology, Volume 11, Issue 1, Page 167-189, February 2026.
ABSTRACT The global shift towards sustainable energy has intensified research into renewable sources, particularly wave energy. Pakistan, with its long coastline, holds significant potential for wave energy development. However, identifying optimal locations for wave energy plants involves evaluating complex, multi‐faceted criteria.
Hafiz Muhammad Athar Farid, Ayesha Razzaq, Muhammad Riaz, Tapan Senapati, Sarbast Moslem   +4 more
wiley   +1 more source

A universal example for quantitative semi‐uniform stability

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We characterise quantitative semi‐uniform stability for C0$C_0$‐semigroups arising from port‐Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port‐Hamiltonian C0$C_0$‐semigroups exhibiting arbitrary decay rates slower than t−1/2$t^{-1/2}$.
Sahiba Arora, Felix L. Schwenninger, Ingrid Vukusic, Marcus Waurick   +3 more
wiley   +1 more source

Counting integer points on affine surfaces with a side condition

Discrete Analysis
Counting integer points on affine surfaces with a side condition, Discrete Analysis 2025:12, 25 pp. This paper is concerned with special instances of the general problem of bounding the number of solutions to Diophantine equations with the variables ...
Tim Browning, Matteo Verzobio
doaj   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

The Davenport–Heilbronn method: 80 years on

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The Davenport–Heilbronn method is a version of the circle method that was developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn, J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the paper, together with an account of the development of the subject in the intervening 80 years.
Tim Browning
wiley   +1 more source

The dimension of well approximable numbers

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
wiley   +1 more source

Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture

Mathematika, Volume 72, Issue 1, January 2026.
Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
wiley   +1 more source

A Linear Diophantine Fuzzy Graph‐Theoretic Approach for Planar Dynamic Traffic Optimization

Applied Computational Intelligence and Soft Computing, Volume 2026, Issue 1, 2026.
Dynamic urban traffic signal control systems face uncertainties such as fluctuating vehicle densities, unpredictable incidents, and varying driver behaviors, making precise decision‐making highly challenging. To address these complexities, fuzzy planar graphs have been employed for uncertainty modeling.
Waheed Ahmad Khan, Nosheen Bibi, Taher M. Ghazal, Tinh Doan Pham, Hai Van Pham, Zhaocai Wang   +5 more
wiley   +1 more source

Heterogeneous Fuzzy Group Decision‐Making Model With Mixed Criteria

Advances in Fuzzy Systems, Volume 2026, Issue 1, 2026.
Organizational decisions, often originating from diverse groups of managers with varying criteria, encounter challenges due to the inherent ambiguity in human judgments, particularly those involving preferences. This paper proposes a nuanced solution using a heterogeneous fuzzy group decision‐making method, accommodating diverse criteria based on real ...
Akbar Karimi, Mohammad Anisseh, Farideh Sobhanifard, Yasar Becerikli   +3 more
wiley   +1 more source