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Generators for $\mathbb F_p^*$

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#abstract-algebra #number-theory #reference-request #field-theory #finite-fields
292
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Formal identity for sum of polynomials over a finite field.

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#number-theory #polynomials #finite-fields
2.3k
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Exponent of $GL(n,q)$.

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#linear-algebra #abstract-algebra #group-theory #finite-groups #finite-fields
753
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Standard Basis of the Finite Field of Prime Numbers

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#linear-algebra #prime-numbers #finite-fields #transformation
54
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Maximal Distinct Roots in $F_q$

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#inequality #finite-fields #roots #irreducible-polynomials
1k
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Error correction code handling deletions and insertions

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#discrete-mathematics #finite-fields #information-theory #coding-theory
475
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Application of Hilbert 90 for Finite Fields

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#galois-theory #finite-fields
585
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Formal Derivative and Multiple roots

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#polynomials #finite-fields #roots
469
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Roots of unity in a field generated by a root of a polynomial

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#finite-fields #roots-of-unity
195
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Are all functions on vectors in $GF(2^n)$ representable as polynomial functions?

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#field-theory #galois-theory #finite-fields #functional-equations
1.3k
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When does a polynomial in $GF$ have a multiplicative inverse?

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#abstract-algebra #polynomials #galois-theory #finite-fields
8.9k
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Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$

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#abstract-algebra #combinatorics #polynomials #finite-fields
440
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Generators of fields, extending groups to fields, finite abelian groups

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#finite-groups #finite-fields #abelian-groups #cryptography
1.2k
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Formula for number of solutions to $x^4+y^4=1$, from Ireland and Rosen #8.18.

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#number-theory #elementary-number-theory #algebraic-number-theory #finite-fields #characters
8.1k
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Irreducible cyclotomic polynomial

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#field-theory #galois-theory #finite-fields

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