Results 151 to 160 of about 566 (174)
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The Mathematical Gazette, 1961
In my note in the December 1960 Gazette I proved that if there is an odd prime p and numbers a , b , c prime to p such that
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In my note in the December 1960 Gazette I proved that if there is an odd prime p and numbers a , b , c prime to p such that
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A Note on Fermat's Last Theorem
The American Mathematical Monthly, 1966zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fermat's Last Theorem and the Fermat quotients
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1992Kummer 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)]
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A "Converse" to Fermat's Last Theorem?
Mathematics Magazine, 1962(1962). A “Converse” to Fermat's Last Theorem? Mathematics Magazine: Vol. 35, No. 4, pp. 215-217.
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2023
Abstract Around 1640 Fermat claimed that he could prove that it is impossible to solve the equation xn + yn = zn if x, y, z, and n are natural numbers and n ≥ 3. Fermat gave a proof of a related theorem that proved the statement when n = 4 but did not reveal his alleged general proof.
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Abstract Around 1640 Fermat claimed that he could prove that it is impossible to solve the equation xn + yn = zn if x, y, z, and n are natural numbers and n ≥ 3. Fermat gave a proof of a related theorem that proved the statement when n = 4 but did not reveal his alleged general proof.
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1982
We start with a special case of Fermat’s Last Theorem, since not only was it the motivation for much work on cyclotomic fields but also it provides a sampling of the various topics we shall discuss later.
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We start with a special case of Fermat’s Last Theorem, since not only was it the motivation for much work on cyclotomic fields but also it provides a sampling of the various topics we shall discuss later.
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2018
In this chapter we look at Fermat’s account of the equation x4 + y4 = z4 and then at Euler’s flawed but insightful account of x3 + y3 = z3.
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In this chapter we look at Fermat’s account of the equation x4 + y4 = z4 and then at Euler’s flawed but insightful account of x3 + y3 = z3.
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