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when is the $n$-th cyclotomic polynomial irreducible over $\mathbb{R}$

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#abstract-algebra #number-theory #polynomials #irreducible-polynomials #cyclotomic-polynomials
179
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Computation in cyclotomic field $\mathbb{Q}(\zeta_{7})$ over $\mathbb{Q}$.

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#abstract-algebra #cyclotomic-polynomials #cyclotomic-fields
65
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Is $[\mathbb Q(\sqrt[7]2):\mathbb Q]=7$ and $[\mathbb Q(w):\mathbb Q]=6$?

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#extension-field #splitting-field #cyclotomic-polynomials
77
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Convergence of infinite product of cyclotomic polynomials

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#number-theory #p-adic-number-theory #infinite-product #cyclotomic-polynomials
105
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How to find the number of non-negative/positive integer solutions to $m_1x_1+\cdots+m_rx_r=n$ systematically? (coin-exchange problem)

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#combinatorics #complex-analysis #complex-numbers #complex-integration #cyclotomic-polynomials
1.3k
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Irreducibility of prime degree cyclotomic polynomials

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#reference-request #irreducible-polynomials #cyclotomic-polynomials
322
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About the number of real roots

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#polynomials #roots #real-numbers #cyclotomic-polynomials
643
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Find Galois group of $x^3+x^2-2x-1\in\mathbb{Q}[x]$

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#cyclotomic-polynomials #galois-extensions
44
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A calculation on cyclotomic polynomial

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#number-theory #cyclotomic-polynomials
78
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Inequality involving cyclotomic polynomial

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#number-theory #cyclotomic-polynomials
38
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Irreducibility of the polynomial

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#abstract-algebra #polynomials #irreducible-polynomials #cyclotomic-polynomials
73
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When does $f(x^n) \mid (f(x))^n$? And related questions.

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#number-theory #polynomials #divisibility #functional-equations #cyclotomic-polynomials
538
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Minimal polynomial of root $\zeta_n$ over finite field $\mathbb{F}_p$

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#algebraic-number-theory #extension-field #cyclotomic-polynomials #cyclotomic-fields
217
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Identity Involving Cyclotomic Polynomials

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#elementary-number-theory #cyclotomic-polynomials
1.2k
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Roots of unity modulo $p$

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#abstract-algebra #polynomials #roots-of-unity #cyclotomic-polynomials

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