2 results
A CLASS OF IRREDUCIBLE POLYNOMIALS ASSOCIATED WITH PRIME DIVISORS OF VALUES OF CYCLOTOMIC POLYNOMIALS
- Part of
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- Journal:
- Mathematika / Volume 65 / Issue 4 / 2019
- Published online by Cambridge University Press:
- 14 August 2019, pp. 1033-1037
- Print publication:
- 2019
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- Article
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We prove that for every sufficiently large integer
$n$, the polynomial 
$1+x+x^{2}/11+x^{3}/111+\cdots +x^{n}/111\ldots 1$ is irreducible over the rationals, where the coefficient of 
$x^{k}$ for 
$1\leqslant k\leqslant n$ is the reciprocal of the decimal number consisting of 
$k$ digits which are each 
$1$. Similar results following from the same techniques are discussed.
THE MAHLER MEASURE OF POLYNOMIALS WITH ODD COEFFICIENTS
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- Journal:
- Bulletin of the London Mathematical Society / Volume 36 / Issue 3 / May 2004
- Published online by Cambridge University Press:
- 28 April 2004, pp. 332-338
- Print publication:
- May 2004
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- Article
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