Proof of Moll's Minimum Conjecture
William Y. C. Chen and Ernest X. W. Xia
Abstract:
Let di(m) denote the coefficients of
the Boros-Moll polynomials. Moll's minimum conjecture states that
the sequence {i(i+1)(di
2(m)-di-1(m)
di+1(m))}1≤ i≤ m
attains its minimum at i = m with 2-2mm(m+1)
AMS Classification: 05A20, 11B83, 33F99 Keywords: ratio monotonicity, log-concavity, Boros-Moll polynomials Download: pdf |