Results 1 to 10 of about 892 (168)
On Trinomial Congruences and Fermat's Last Theorem. [PDF]
Proc Natl Acad Sci U S A, 1944 Not ...
Vandiver HS.
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Fermat's Last Theorem and the Fermat Quotients
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1992 Kummer formulated a criterion for the solvability of the Fermat equation \((*)\;x^ \ell+y^ \ell=z^ \ell\) in Case I (\(\ell\) an odd prime not dividing \(xyz\)) in terms of a system of congruences mod \(\ell\) involving Bernoulli numbers and certain polynomials, later called Mirimanoff polynomials. The author [ibid. 35, 137--163 (1986; Zbl 0604.10006)]
Skula Ladislav
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A theory and methodology to quantify knowledge [PDF]
Royal Society Open Science, 2019 This article proposes quantitative answers to meta-scientific questions including ‘how much knowledge is attained by a research field?’, ‘how rapidly is a field making progress?’, ‘what is the expected reproducibility of a result?’, ‘how much knowledge ...
Daniele Fanelli
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NEW TYPES OF TRINOMIAL CONGRUENCE CRITERIA APPLYING TO FERMAT'S LAST THEOREM. [PDF]
Proc Natl Acad Sci U S A, 1954 Vandiver HS.
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PROOF OF FERMAT'S LAST THEOREM FOR ALL PRIME EXPONENTS LESS THAN 4002. [PDF]
Proc Natl Acad Sci U S A, 1955 Selfridge JL, Nicol CA, Vandiver HS.
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Journal für die reine und angewandte Mathematik (Crelles Journal), 1975 Itaru Yamaguchi
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Summary of Results and Proofs Concerning Fermat's Last Theorem (Second Note). [PDF]
Proc Natl Acad Sci U S A, 1926 Vandiver HS.
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RETRACTED: On the Nature of Some Euler’s Double Equations Equivalent to Fermat’s Last Theorem
Mathematics, 2022 In this work, I provide a new rephrasing of Fermat’s Last Theorem, based on an earlier work by Euler on the ternary quadratic forms. Effectively, Fermat’s Last Theorem can be derived from an appropriate use of the concordant forms of Euler and from an ...
Andrea Ossicini
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