Publication date: 30 June 2023
Volume: Vol 58
Issue: Svezak 1
Pages: 17-34
DOI: 10.3336/gm.58.1.02
Original scientific paper
https://doi.org/10.3336/gm.58.1.02
On the coefficients of a class of ternary cyclotomic polynomials
Bin Zhang
; School of Mathematical Sciences, Qufu Normal University, 273165 Qufu, P. R. China
A cyclotomic polynomial \(\Phi_n(x)\) is said to be flat if its nonzero coefficients involve only \(\pm1\).
In this paper, for odd primes \(p\lt q \lt r\)
with \(q\equiv 1\pmod p\) and \(9r\equiv \pm1\pmod {pq}\), we
prove that \(\Phi_{pqr}(x)\) is flat if and only if \(p=5\), \(q\geq
41\), and \(q\equiv 1\pmod 5\).
304387
20.6.2023.
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