Jumps of ternary cyclotomic coefficients

• Autorzy: Bartłomiej Bzdęga
• Języki publikacji: EN

Abstrakty

EN

It is known that two consecutive coefficients of a ternary cyclotomic polynomial $Φ_{pqr}(x)= ∑_k a_{pqr}(k)x^k$ differ by at most one. We characterize all k such that $|a_{pqr}(k)-a_{pqr}(k-1)|=1$. We use this to prove that the number of nonzero coefficients of the nth ternary cyclotomic polynomial is greater than $n^{1/3}$.

Kategorie tematyczne

• 11B83: Special sequences and polynomials
• 11C08: Polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 163
• Numer: 3
• Strony: 203-213

Daty

wydano

2014

Twórcy

autor

Bartłomiej Bzdęga

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/aa163-3-2