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Show $f(x)$ is irreducible Let $f(x)=x^4+x^2+t \in \mathbb{F}_2 (t)[x]$

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#abstract-algebra #algebraic-geometry #function-fields
110
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Rational point of variety over function fields

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#algebraic-geometry #arithmetic-geometry #function-fields
61
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Irreducibility in Function Fields

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#irreducible-polynomials #function-fields
154
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Non zero discriminant

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#determinant #discriminant #function-fields
53
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Looking for specific irreducible inseperable polynomial over $\mathbb{F}_2(t)$ where t an indeterminate.

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#number-theory #field-theory #algebraic-number-theory #finite-fields #function-fields
467
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The Galois group of a specialized polynomial

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#number-theory #galois-theory #algebraic-number-theory #irreducible-polynomials #function-fields
175
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Field of constants of a splitting field

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#polynomials #finite-fields #function-fields
315
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A sufficient and necessary condition for $\mathbb{C}(f(x),g(x))=\mathbb{C}(x)$?

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#algebraic-geometry #polynomials #field-theory #function-fields
126
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Ideal norm well defined on ray class group

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#algebraic-number-theory #class-field-theory #function-fields
870
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How to compute function field of a curve

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#algebraic-geometry #function-fields
1k
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Function field in one variable over a finite field.

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#field-theory #finite-fields #function-fields
82
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Are finite extensions of global function fields always simple?

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#abstract-algebra #finite-fields #extension-field #algebraic-curves #function-fields
73
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Stuck on a problem in Rosen's book on number theory in function fields.

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#number-theory #function-fields
157
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ramification at infinity of a Galois Extension.

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#ramification #function-fields
494
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How to find prime elements

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#algebraic-number-theory #computational-algebra #function-fields

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