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Results tagged with nt.number-theory
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user 83515
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
2
votes
2
answers
333
views
Cyclotomic polynomials with 7$^{th}$ coefficient greater than 1 in absolute value
It is known that the seventh coefficient of $\Phi_{105}(x)$ is $-2$ and that's the first occurrence of a coefficient with absolute value greater than $1$ for a cyclotomic polynomial. When I did a quic …
- 65
1
vote
1
answer
121
views
Ternary cyclotomic polynomials with $n=15r$
Let $n=15r$ where $r>5$ is an odd prime number. If $r\!\!\! \mod 15 \equiv w$ then is it true that $\Phi_{n}(x)$ is not flat whenever $2<w<13$ ? In other words, are the flat ones necessarily among tho …
- 65