This book studies the coefficients of cyclotomic polynomials. Let $a(m, n)$ be the $m$th coefficient of the $n$th cyclotomic polynomial $\Phi_n(z)$, and let $a(m)={\rm max _n \vert a(m, n)\vert$. The principal result is an asymptotic formula for ${\rm log a(m)$ that improves a recent estimate of Montgomery and Vaughan. Bachman also gives similar formulae for the logarithms of the one-sided extrema $a (m)={\rm max _na(m, n)$ and $a_*(m)={\rm min _na(m, n)$. In the course of the proof, estimates are obtained for certain ...
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This book studies the coefficients of cyclotomic polynomials. Let $a(m, n)$ be the $m$th coefficient of the $n$th cyclotomic polynomial $\Phi_n(z)$, and let $a(m)={\rm max _n \vert a(m, n)\vert$. The principal result is an asymptotic formula for ${\rm log a(m)$ that improves a recent estimate of Montgomery and Vaughan. Bachman also gives similar formulae for the logarithms of the one-sided extrema $a (m)={\rm max _na(m, n)$ and $a_*(m)={\rm min _na(m, n)$. In the course of the proof, estimates are obtained for certain exponential sums which are of independent inter
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Add this copy of On the Coefficients of Cyclotomic Polynomials (Memoirs to cart. $14.79, like new condition, Sold by Zubal Books rated 5.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 1993 by Amer Mathematical Society.
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Add this copy of On the Coefficients of Cyclotomic Polynomials (Memoirs to cart. $45.36, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1993 by Amer Mathematical Society.
