Question on cyclotomic polynomials

Max maxale at gmail.com
Fri May 19 21:26:57 CEST 2006


On 5/19/06, franktaw at netscape.net <franktaw at netscape.net> wrote:

> This still leaves the second question: can you ever have Phi_n having a
> coefficient that is 2 or larger (in absolute value), while Phi_{k*n} does
> not?

In other words, you are asking if n belong A013590 then does so k*n?
If it does it will make sense to consider primitive elements of A013590 that are

105, 165, 195, 255, 273, 285, 345, 357, 385, 429, 455, 555, 561, 595,
609, 615, 627, 645, 665, 705, 715, 759, 777, 795, 805, 897, 935, 957,
969, 987, 1001, 1005, 1015, 1023, 1045, 1065, 1085, 1095, 1105, 1131,
1185, 1221, 1235, 1239, 1245, 1265, 1295, 1309, 1407, 1419, 1435,
1455, 1463, 1491, 1495, 1505, 1515, 1545, 1547, 1551, 1595, 1605,
1615, 1635, 1645, 1659, 1677, 1695, 1705, 1729, 1749, 1767, 1771,
1855, 1869, 1885, 1887, 1905, 1955, 1965, 2001, 2013, 2015, 2035,
2037, 2055, 2065, 2067, 2085, 2091, 2093, 2109, 2121, 2135, 2139,
2185, 2193, 2233, 2255, 2261, 2289, 2343, 2345, 2355, 2365, 2373,
2387, 2397

This sequence is missing in OEIS.

Max






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