Equations with equivalent roots
J. Cohn (1977)
Acta Arithmetica
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Displaying similar documents to “On rational and integral roots of a polynomial”
Equations with equivalent roots
On general proof of Fermat's Last Theorem - Epilogue
Yahya, Q.A.M.M. (1976)
Portugaliae mathematica
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On general proof of Fermat's last theorem
Yahya, Q.A.M.M. (1973)
Portugaliae mathematica
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Niven’s Theorem
Artur Korniłowicz, Adam Naumowicz (2016)
Formalized Mathematics
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This article formalizes the proof of Niven’s theorem [12] which states that if x/π and sin(x) are both rational, then the sine takes values 0, ±1/2, and ±1. The main part of the formalization follows the informal proof presented at Pr∞fWiki (https://proofwiki.org/wiki/Niven’s_Theorem#Source_of_Name). For this proof, we have also formalized the rational and integral root theorems setting constraints on solutions of polynomial equations with integer coefficients [8, 9].
A note on the -binomial rational root theorem.
Lin, Ying-Jie (2009)
Integers
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Roots of the circular cylindrical shell characteristic equation
Milan Geryk (1972)
Aplikace matematiky
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On the Real and Imaginary Roots of Algebraical Equations
James Joseph Sylvester
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On Arrangements of Real Roots of a Real Polynomial and Its Derivatives
Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.
Trigonometric diophantine equations (On vanishing sums of roots of unity)
John Conway, A. Jones (1976)
Acta Arithmetica
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