Results 71 to 80 of about 566 (174)
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
Reflections on Fermat's last theorem
, 1995 This explanatory paper is based on the Nesbitt Lecture delivered by the author in November, 1992 at Carleton University. The author mentions the \(ABC\)-Conjecture and its implications for the FLT, discusses Pythagoras' Theorem, and thence the cases \(n = 2\) and \(n = 4\) of the Last Theorem. His remarks conclude with a discussion of the possible role
openaire +2 more sources
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 +4 more
wiley +1 more source
Equivalence of Fermat's Last Theorem and Beal's Conjecture
, 2018 It is proved in this paper that (1){ \bf Fermat's Last Theorem:} If $\pi$ is an odd prime, there are no relatively prime solutions $x, y, z$ to the equation $z^\pi=x^\pi+y^\pi,$ and (2) { \bf Beal's Conjecture :} The equation $z^\xi=x^\mu+y^\nu$ has no ...
James E. Joseph +3 more
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From Fermat to Wiles: Fermat's Last Theorem Becomes a Theorem
Elemente der Mathematik, 2000 The author provides an excellent survey on the most important contributions to Fermat's Last Theorem from its proposal to its proof by \textit{A. Wiles} and \textit{R. Taylor} and Wiles in their celebrated papers [see Zbl 0823.11029 and Zbl 0823.11030]. Especially for the last 15 years until its solution a very lively presentation is given.
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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 +3 more
wiley +1 more source
A Clear and Accessible Proof of Fermat's Last Theorem.pdf
, 2023 This paper presents a concise and elementary proof of Fermat's Last Theorem, whichasserts that the Diophantine equation x^n +y^n =z^n has no non-trivial solutions forany integer n greater than 2.
BUDEE U ZAMAN (14801440)
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Fermat's last theorem: basic tools
, 2013 This book, together with the companion volume, Fermat's Last Theorem: The proof, presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor.
Saito, Takeshi
core
Local criteria for the unit equation and the asymptotic Fermat's Last Theorem. [PDF]
Proc Natl Acad Sci U S A, 2021 Freitas N, Kraus A, Siksek S.
europepmc +1 more source
Intensive workshop on Fermat's last theorem
, 2013 We give 9 lectures about Wiles' proof on Fermat's Last ...
YOO, Hwajong
core