Small limit points of Mahler's measure.
Boyd, David W., Mossinghoff, Michael J. (2005)
Experimental Mathematics
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Boyd, David W., Mossinghoff, Michael J. (2005)
Experimental Mathematics
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Acta Arithmetica
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We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.
Edward Dobrowolski (2012)
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Bernarda Aldana, Jairo Charris, Oriol Mora-Valbuena (1998)
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Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.