Relevant bibliographies by topics / Fermat's last theorem

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Fermat's last theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 July 2025

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Journal articles on the topic "Fermat's last theorem"

1

KLYKOV, SERGEY P. "ELEMENTARY PROOFS FOR THE FERMAT'S LAST THEOREM IN Z USING ONE TRICK FOR A RESTRICTION IN ZP." Journal of Science and Arts 23, no. 3 (2023): 603–8. http://dx.doi.org/10.46939/j.sci.arts-23.3-a03.

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An elementary and short proof of Fermat's Last Theorem (FLT) is presented, which is understandable even to a student. Perhaps this proof is precisely the lost proof, which could similar to own Fermat's proof. Restricting some coefficients of polynomials by value 0, except for the first term, allows to prove the Fermat's Last Theorem for domain Z, since in this case the canonical representation of p-adic numbers is limited to only one digit in the corresponding p-ary system. It was shown within the framework of elementary algebra, which corresponds to the Pythagorean theorem (PT) that the assum
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Dowling, Jonathan P. "Fermat's Last Theorem." Mathematics Magazine 59, no. 2 (1986): 76. http://dx.doi.org/10.2307/2690422.

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Devlin, Keith. "Fermat's Last Theorem." Math Horizons 1, no. 2 (1994): 4–5. http://dx.doi.org/10.1080/10724117.1994.11974875.

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Dowling, Jonathan P. "Fermat's Last Theorem." Mathematics Magazine 59, no. 2 (1986): 76. http://dx.doi.org/10.1080/0025570x.1986.11977225.

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Alkis, Mazaris. "AN IMPORTANT CONCLUSION FOR FERMAT'S LAST THEOREM." INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH 10, no. 08 (2022): 2837–39. https://doi.org/10.5281/zenodo.6956329.

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Fermat’s Last Theorem is perhaps the only most famous mathematical problem of all times. Although finally proved, but the Theorem never stopped being a challenge mainly because the first proof didn’t used mathematics known in Fermat’s era. In the present work we arrive at a very important conclusion for the Theorem. If this conclusion is taken into account, the formulation of the Theorem should be different.
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Brill, Michael H. "On Fermat's Last Theorem." Mathematics Magazine 58, no. 2 (1985): 96. http://dx.doi.org/10.2307/2689896.

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Azuhata, Takashi. "On Fermat's last theorem." Acta Arithmetica 45, no. 1 (1985): 19–27. http://dx.doi.org/10.4064/aa-45-1-19-27.

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Nag, Bibek Baran. "On Fermat's Last Theorem." Journal of Advances in Mathematics and Computer Science 34, no. 4 (2019): 1–4. http://dx.doi.org/10.9734/jamcs/2019/v34i230211.

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Brill, Michael H. "On Fermat's Last Theorem." Mathematics Magazine 58, no. 2 (1985): 96. http://dx.doi.org/10.1080/0025570x.1985.11977159.

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Gevorkyan, Yuriy. "Geometric approach to the proof of Fermat’s last theorem." EUREKA: Physics and Engineering, no. 4 (July 30, 2022): 127–36. http://dx.doi.org/10.21303/2461-4262.2022.002488.

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A geometric approach to the proof of Fermat’s last theorem is proposed. Instead of integers a, b, c, Fermat’s last theorem considers a triangle with side lengths a, b, c. It is proved that in the case of right-angled and obtuse-angled triangles Fermat's equation has no solutions. When considering the case when a, b, c are sides of an acute triangle, it is proved that Fermat's equation has no entire solutions for p>2. The numbers a=k, b=k+m, c=k+n, where k, m, n are natural numbers satisfying the inequalities n>m, n<k+m, exhaust all possible variants of natural numbers a, b, c which ar
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Dissertations / Theses on the topic "Fermat's last theorem"

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Trad, Mohamad. "The proof of Fermat's last theorem." CSUSB ScholarWorks, 2000. https://scholarworks.lib.csusb.edu/etd-project/1690.

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Bruni, Carmen Anthony. "Twisted extensions of Fermat's Last Theorem." Thesis, University of British Columbia, 2015. http://hdl.handle.net/2429/52912.

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Let x, y, z, n, α ∈ ℤ with α ≥ 1, p and n ≥ 5 primes. In 2011, Michael Bennett, Florian Luca and Jamie Mulholland showed that the equation involving a twisted sum of cubes [equation omitted] has no pairwise coprime nonzero integer solutions p ≥ 5,n ≥ p²p and p ∉ S where S is the set of primes q for which there exists an elliptic curve of conductor NE ∈ {18q,36q,72q} with at least one nontrivial rational 2-torsion point. In this dissertation, I present a solution that extends the result to include a subset of the primes in S; those q ∈ S for which all curves with conductor NE ∈ {18q,36q,72q} wi
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Gómez-Sánchez, A. Luis. "An easy and remarkable inequality derived from (actually equivalent to) Fermat's last theorem." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95669.

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Jha, Vijay. "The Stickelberger ideal in the spirit of Kummer with application to the first case of Fermat's last theorem /." Kingston, Ont., Canada : Queen's University, 1993. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=005385035&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.

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Santos, João Evangelista Cabral dos. "Números inteiros como soma de quadrados." Universidade Federal da Paraíba, 2013. http://tede.biblioteca.ufpb.br:8080/handle/tede/7546.

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Submitted by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2015-11-04T11:39:40Z No. of bitstreams: 2 arquivototal.pdf: 1037710 bytes, checksum: 4e3c7e69a8c60214c05fdcac3db1ec5e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Approved for entry into archive by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2015-11-04T11:41:46Z (GMT) No. of bitstreams: 2 arquivototal.pdf: 1037710 bytes, checksum: 4e3c7e69a8c60214c05fdcac3db1ec5e (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5)<br>Made available in DSpace on 2
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Dash, Bibhudutta. "Review of Fermat’s Last Theorem." Thesis, 2015. http://ethesis.nitrkl.ac.in/7049/1/REVIEW_OF_Dash_2015.pdf.

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Po-KuanWu and 吳柏寬. "The Development of Fermat’s Last Theorem in 19th Century." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/krng3e.

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碩士<br>國立成功大學<br>數學系應用數學碩博士班<br>105<br>The Fermat’s Last Theorem was first conjectured in 17th Century, since than, many mathematicians tried hard to solve it. Although it has been totally proved by now, but this article will focus on the development of Fermat’s Last Theorem in 19th Century and its background theories, that is, the research which made by Kummer. Includes Bernoulli Numbers, Cyclotomic Field, Ideals, Regular Primes, and Kummes’s Lemma, and use these theorems we’ve learned and some algebraic number theory to help us rewrite the Kummer’s prove for Fermat’s Last Theorem. The main id
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Jensen, Crystal Dawn. "Elliptic curves." Thesis, 2010. http://hdl.handle.net/2152/ETD-UT-2010-08-1663.

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This report discusses the history, use, and future of elliptic curves. Uses of elliptic curves in various number theory settings are presented. Fermat’s Last Proof is shown to be proven with elliptic curves. Finally, the future of elliptic curves with respect to cryptography and primality is shown.<br>text
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Books on the topic "Fermat's last theorem"

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Ribenboim, Paulo. Fermat's last theorem for amateurs. Springer, 1999.

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Ribenboim, Paulo. 13 lectures on Fermat's last theorem. Springer, 1995.

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Gary, Cornell, Silverman Joseph H. 1955-, and Stevens Glenn 1953-, eds. Modular forms and Fermat's last theorem. Springer, 1997.

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Sakmar, I. A. The last theorem of Pierre Fermat: A study. I.A. Sakmar, 1992.

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J, Coates, Yau Shing-Tung 1949-, and Conference on Elliptic Curves and Modular Forms (1993 : Hong Kong), eds. Elliptic curves, modular forms, & Fermat's last theorem. International Press, 1995.

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Orme, Tall David, and Stewart Ian 1945-, eds. Algebraic number theory and Fermat's last theorem. 3rd ed. AK Peters, 2002.

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Yarosh, V. S. The great Fermat theorem is finally proved for all n>2. Engineer, 1993.

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Edwards, Harold M. Fermat's last theorem: A genetic introduction to algebraic number theory. 5th ed. Springer, 1996.

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Hu, Zhenwu. 费马大定理证明之研究: Study of proof of Fermat's last theorem. [s.n.], 2007.

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Morishima, Taro. Collected papers of Taro Morishima. Edited by Karamatsu Y. Queens University, 1990.

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Book chapters on the topic "Fermat's last theorem"

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Narkiewicz, Władysław. "Fermat’s Last Theorem." In Springer Monographs in Mathematics. Springer London, 2012. http://dx.doi.org/10.1007/978-0-85729-532-3_7.

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Washington, Lawrence C. "Fermat’s Last Theorem." In Graduate Texts in Mathematics. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-1934-7_1.

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Murty, V. Kumar. "Fermat’s Last Theorem." In Analysis, Geometry and Probability. Hindustan Book Agency, 1996. http://dx.doi.org/10.1007/978-93-80250-87-8_7.

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Jones, Gareth A., and J. Mary Jones. "Fermat’s Last Theorem." In Springer Undergraduate Mathematics Series. Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-0613-5_11.

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Gray, Jeremy. "Fermat’s Last Theorem." In A History of Abstract Algebra. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-94773-0_2.

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McLarty, Colin. "Fermat’s Last Theorem." In Handbook of the History and Philosophy of Mathematical Practice. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-40846-5_44.

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Krantz, Steven G., and Harold R. Parks. "Fermat’s Last Theorem." In A Mathematical Odyssey. Springer US, 2014. http://dx.doi.org/10.1007/978-1-4614-8939-9_13.

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McLarty, Colin. "Fermat’s Last Theorem." In Handbook of the History and Philosophy of Mathematical Practice. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-19071-2_44-1.

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Kleiner, Israel. "Fermat’s Last Theorem: From Fermat to Wiles." In Excursions in the History of Mathematics. Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-8268-2_3.

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Laubenbacher, Reinhard, and David Pengelley. "Number Theory: Fermat’s Last Theorem." In Undergraduate Texts in Mathematics. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0523-4_4.

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Conference papers on the topic "Fermat's last theorem"

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Avdyev, Marat Aleksandrovich. "Fermat's Last Theorem and ABC-Conjecture in the School of the XXI Century." In International Scientific and Practical Conference. TSNS Interaktiv Plus, 2024. http://dx.doi.org/10.21661/r-561630.

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In 1637, Pierre de Fermat wrote at the margins of Diophantus’ Arithmetica that he had found a truly wonderful proof of the insolvability of the Diophantine equation a^n + b^n = c^n, where n &amp;gt; 2, but the narrow margins of the books did not allow him to give the full proof. Is there a short and easy way to prove Fermat's Last Theorem? The following ABC conjecture states that for three co-prime numbers A, B, and C which satisfy A + B = C, the product of the prime factors of ABC is usually not much less than C. Both theorems are formulated very simply, but are extremely difficult to prove.
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Avdyev, Marat Aleksandrovich. "Why does a schoolboy need a proof of Fermat's Last Theorem?" In International Scientific and Practical Conference. TSNS Interaktiv Plus, 2023. http://dx.doi.org/10.21661/r-560960.

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In this publication, the author proposes to find an elementary proof of Fermat's Last Theorem from the point of view of an engineering approach. As a model, a construction of three concentrically nested n-cubes or spheres with a common centre and integer edges or radii, a, b, c, is studied, provided that each point/unit cube of a small sphere corresponds to another point/unit cube of this subset of layers between the middle and the large sphere enclosed spheres. An insoluble conflict between the symmetric form and the content of the construction is studied for the case when n is greater than t
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Avdyev, M. "THE DIOPHANTINE EQUATION FROM THE EYE OF PHYSICIST." In X Международная научно-практическая конференция "Культура, наука, образование: проблемы и перспективы". Нижневартовский государственный университет, 2022. http://dx.doi.org/10.36906/ksp-2022/57.

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A Diophantine equation is an equation with integer coefficients, the solutions of which must be found among integers. The equation is named after the mathematician Diophantus of Alexandria (III century). Despite its simplicity, a Diophantine equation may have a nontrivial solution (several solutions) or has no solution at all. Fermat's Last Theorem and Pythagorean Theorem are the Diophantine equations too. In 1900 The German mathematician David Hilbert formulated the Tenth problem. After 70 years, the answer turned out to be negative: there is no general algorithm. Nevertheless, for some cases
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Zyulyamova, Byulbyul, Adnan Redzheb, and Peter Kopanov. "Cryptography and Fermat’s Last Theorem." In 2023 International Scientific Conference on Computer Science (COMSCI). IEEE, 2023. http://dx.doi.org/10.1109/comsci59259.2023.10315806.

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Gao, Yuhao. "Various ways of Diophantine equation: Fermat’s last theorem." In International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), edited by Ke Chen, Nan Lin, Romeo Meštrović, Teresa A. Oliveira, Fengjie Cen, and Hong-Ming Yin. SPIE, 2022. http://dx.doi.org/10.1117/12.2627595.

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Perera, B. B. U. P., and R. A. D. Piyadasa. "Proof of Fermat’s Last Theorem for n=3 Using Tschirnhaus transformation." In Annual International Conference on Computational Mathematics, Computational Geometry & Statistics (CMCGS 2014). GSTF, 2014. http://dx.doi.org/10.5176/2251-1911_cmcgs14.34.

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Kristyan, Sandor. "On the simple divisibility restrictions by polynomial equation an+bn=cn itself in fermat last theorem for integer/complex/quaternion triples." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0210200.

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Kristyan, Sandor. "Note on the inductive proof for fermat last theorem via the cardinality of integer solutions (triples) of an+bn=cn part II.: Cardinality." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0210912.

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Kristyan, Sandor. "Note on the inductive proof for fermat last theorem via the cardinality of integer solutions (triples) of an+bn=cn part I.: Brief history and simple relations." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0210911.

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