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Jumping sequences.

Butler, Steve, Graham, Ron, Zang, Nan (2008)

Journal of Integer Sequences [electronic only]

Jumps of ternary cyclotomic coefficients

Bartłomiej Bzdęga (2014)

Acta Arithmetica

It is known that two consecutive coefficients of a ternary cyclotomic polynomial Φ p q r ( x ) = k a p q r ( k ) x k differ by at most one. We characterize all k such that | a p q r ( k ) - a p q r ( k - 1 ) | = 1 . We use this to prove that the number of nonzero coefficients of the nth ternary cyclotomic polynomial is greater than n 1 / 3 .

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