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Intermediate Extensions of $\Bbb Q[\zeta_{63}]/\Bbb Q$.

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#abstract-algebra #field-theory #extension-field #roots-of-unity #cyclotomic-fields
128
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What sums of roots of unity can be expressed "simply"?

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#complex-numbers #summation #roots-of-unity
95
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Lattice Geometry of $\mathbb{Z}[\zeta_5]$

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#ring-theory #complex-numbers #algebraic-number-theory #roots-of-unity #cyclotomic-fields
138
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Coefficients of a symmetric product of polynomials with root of unity

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#linear-algebra #symmetric-polynomials #roots-of-unity #circulant-matrices
32
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$(\zeta_n + 1 + \zeta_n^{-1})(\zeta_n^a + 1 + \zeta_n^{-a})=1$.. Possible solutions when $(a,n)=1$.

Published on
#algebraic-number-theory #roots-of-unity
59
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Finding the number of distinct common roots of unity

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#complex-numbers #systems-of-equations #roots-of-unity
52
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Trying to understand this skipping sum

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#complex-analysis #summation #roots-of-unity
79
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Two questions about Dirichlet's characters and roots of unity.

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#number-theory #analytic-number-theory #roots-of-unity #dirichlet-character
66
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Do all of these partial sums of roots of unity have real part = $\frac{1}{2}$ except at powers of $2$?

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#sequences-and-series #number-theory #gcd-and-lcm #roots-of-unity
166
Views

Bounding a Real Function in Absolute Value

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#real-analysis #complex-analysis #upper-lower-bounds #roots-of-unity
80
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Sum of a pth root of unity raised to square powers

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#number-theory #elementary-number-theory #complex-numbers #roots-of-unity
146
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how to find p-th primitive root of unity in GF(2^m)

Published on
#finite-fields #coding-theory #roots-of-unity #quadratic-residues
66
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Factorizing Odd Prime Case of FLT using Roots of Unity

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#number-theory #roots-of-unity
70
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$2$ as order $n$ unitroot in $\mathrm{GF}(2^n \pm 1)$: what should I know?

Published on
#finite-fields #roots-of-unity
57
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What is the cardinality of the set of $x$-th roots of unity?

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#complex-numbers #cardinals #roots-of-unity

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