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- W2034008786 abstract "In vol. 32 of this Journal, G.E. Collins reported on extensive calculations supporting his conjecture that the exponent 1 − n in the well-known Mahler–Mignotte bound for the root separation of squarefree integral polynomials of degree n might be replaceable with − n / 2 . This paper exhibits infinite sequences of cubic polynomials with ‘true’ exponent − 2 , thus disproving that conjecture for degree n = 3 , and extends this to analogous bounds for close root triplets of quartic polynomials." @default.
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- W2034008786 date "2006-10-01" @default.
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- W2034008786 title "Polynomial root separation examples" @default.
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- W2034008786 doi "https://doi.org/10.1016/j.jsc.2006.06.003" @default.
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