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Gennady Bachman
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دانلود کتاب On the Coefficients of Cyclotomic Polynomials
by Gennady Bachman|
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عنوان فارسی: بر روی ضرایب چند جمله ای cyclotomic |
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جزییات کتاب
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 $a(m)=\textnormal{max}_n \vert a(m,n)\vert$. The principal result is an asymptotic formula for $\textnormal{log}a(m)$ that improves a recent estimate of Montgomery and Vaughan. Bachman also gives similar formulae for the logarithms of the one-sided extrema $a^*(m)=\textnormal{max}_na(m,n)$ and $a_*(m)=\textnormal{min}_na(m,n)$. In the course of the proof, estimates are obtained for certain exponential sums which are of independent interest.
کتاب های مرتبط
Some properties of polynomials with coefficients in a Galois field
Dumbrill, Lucille Clarke 
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