A note on the -binomial rational root theorem.

Lin, Ying-Jie

Displaying similar documents to “A note on the $q$ -binomial rational root theorem.”

Trigonometric diophantine equations (On vanishing sums of roots of unity)

John Conway, A. Jones (1976)

Acta Arithmetica

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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].

On rational and integral roots of a polynomial

Yahya, Q.A.M.M. (1968)

Portugaliae mathematica

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How to generate all integral triangles containing a given angle.

Petulante, Nelson, Kaja, Ifeoma (2000)

International Journal of Mathematics and Mathematical Sciences

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A polynomial related to the cyclotomic polynomial

L. Carlitz (1972)

Rendiconti del Seminario Matematico della Università di Padova

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On general proof of Fermat's Last Theorem - Epilogue

Yahya, Q.A.M.M. (1976)

Portugaliae mathematica

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On the number of nonquadratic residues which are not primitive roots

Florian Luca, P. G. Walsh (2004)

Colloquium Mathematicae

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We show that there exist infinitely many positive integers r not of the form (p-1)/2 - ϕ(p-1), thus providing an affirmative answer to a question of Neville Robbins.