The Coefficients of Cyclotomic Polynomials

  • Helmut Maier
Part of the Progress in Mathematics book series (PM, volume 85)


Let \( {_n}(z) = \sum\nolimits_{m = o}^{(n)} {a(m,n){z^m}} \) be the nth cyclotomic polynomial. Let
$$ A\left( n \right)\, = \,\mathop {\max }\limits_{0\, \leqslant \,m\, \leqslant \,\phi \,\left( n \right)} \,\left| {a\,\left( {m,\,n} \right)} \right| $$
and let
$$ S\left( n \right)\, = \,\sum\limits_{0\, \leqslant \,m\, \leqslant \,\phi \,\left( n \right)\,} {\left| {a\,\left( {m,n} \right)} \right|} . $$


Prime Factor Prime Divisor Chinese Remainder Theorem Asymptotic Density Prime Number Theorem 
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Copyright information

© Bikhäuser Boston 1990

Authors and Affiliations

  • Helmut Maier
    • 1
  1. 1.Department of MathematicsUniversity of GeorgiaAthensUSA

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