Results 41 to 50 of about 892 (168)

Expression of Concern: Ossicini, A. On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem. Mathematics 2022, 10, 4471

Mathematics
With this notice, the Mathematics Editorial Office states its awareness of concerns regarding the findings of the published manuscript [...]
Mathematics Editorial Office
doaj   +1 more source

Arithmetic progressions at the Journal of the LMS

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We discuss the papers P. Erdős and P. Turán, On some sequences of integers, J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers, J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
Ben Green
wiley   +1 more source

Why John Chortasmenos Sent Diophantus to the Devil

Greek, Roman, and Byzantine Studies, 2013
Paleographical and mathematical arguments establish that Chortasmenos’ invective against Diophantus for the difficulty of a problem refers not to problem 2.8, which triggered Fermat’s ‘last theorem’, but to the far more difficult 2.7.
Fabio Acerbi
doaj  

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

On the Electromagnetic Energy Flow Along Geodesics

Radio Science, Volume 61, Issue 1, January 2026.
Abstract We present a field‐theoretic framework for modeling electromagnetic energy propagation in heterogeneous media by introducing the concept of electromagnetic geodesics. Unlike traditional ray optics, which assumes either a straight‐line propagation or a simple bending in refractive media, our approach formulates wave propagation as geodetic ...
Jacob T. Fokkema, Peter M. van den Berg
wiley   +1 more source

On the Correlation Properties of Permutation Arrays and the Structure of Flipped and Rotated Costas Arrays

IET Signal Processing, Volume 2026, Issue 1, 2026.
Costas arrays, known for their ideal autocorrelation properties, play a vital role in radar, sonar, and communication systems. Traditionally, they are obtained through exhaustive search or algebraic construction. This paper investigates the correlation properties of permutation arrays and examines the structural relationships and cross‐correlation ...
Jianguo Yao, Yanling Shi, Ziwei Liu, Xiaodong Bai, Jiahua Zhu   +4 more
wiley   +1 more source

The modular automorphisms of quotient modular curves

Mathematika, Volume 72, Issue 1, January 2026.
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley   +1 more source

An Interval‐Valued Fermatean Neutrosophic Framework for Sustainable Transportation Under Uncertainty

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Transportation planning is facing heightened complexity because the dynamic parameters influenced by globalization and unpredictable technological disruptions. Traditional models are not capable to handle interval‐based uncertainties related to supply, demand, and costs, especially as the scale of suppliers and customers expands.
Muhammad Kamran, Muhammad Nadeem, Magda Abd El-Rahman, J. Akhter, Ghous Ali   +4 more
wiley   +1 more source

Metasurfaces in Adaptive Optics: A New Opportunity in Optical Wavefront Sensing

Laser &Photonics Reviews, Volume 19, Issue 24, December 17, 2025.
Wavefront sensing constitutes a critical component of adaptive optics systems, aimed at quantitatively measuring distorted wavefronts and enabling closed‐loop correction in optical setups. Metasurfaces, as planar optical elements composed of nanoscale structures, provide exceptional freedom in modulating multiple dimensions of the light field.
Rundong Fan, Zichao Wang, Pei Li, Lei Huang   +3 more
wiley   +1 more source

Understanding Fermat's Last Theorem through Matrix-Graph Relation [PDF]

, 2023
Jihyeon Yoon
openalex   +1 more source