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Question about characters ( Section : The Rationality of the Zeta Function associated to $a_0x_0^m+a_1x_1^m+...+a_nx_n^m$ )

score 117 · Answer 1 · 2026-03-25 04:43:56

117

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Question about characters ( Section : The Rationality of the Zeta Function associated to $a_0x_0^m+a_1x_1^m+...+a_nx_n^m$ )

Published on 25 Mar 2026 - 4:43

score 155 · Answer 2 · 2026-03-25 06:02:07

155

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Trying to understand why the zeta function is a rational function under certain conditions. Questions about some equations.

Published on 25 Mar 2026 - 6:02

score 429 · Answer 3 · 2018-11-24 21:30:27

429

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$f(x)\in \mathbb F_p[X]$ irreducible. Then a splitting field for $f(x)$ has $p^n$ elements

Published on 24 Nov 2018 - 21:30

score 67 · Answer 4 · 2026-03-24 20:32:06

67

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$\mathbb{F}_q(t)$ vs $\mathbb{F}_q[t]$?

Published on 24 Mar 2026 - 20:32

score 95 · Answer 5 · 2026-03-25 10:25:03

95

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Gauss sum possible typo

Published on 25 Mar 2026 - 10:25

score 348 · Answer 6 · 2018-11-30 02:21:59

348

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Characterising the irreducible polynomials in positive characteristic whose roots generate the (cyclic) group of units of the splitting field

Published on 30 Nov 2018 - 2:21

score 33 · Answer 7 · 2018-11-30 08:14:37

33

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Finding a congruence chain (linear and quadratic) equivalent to a polynomial

Published on 30 Nov 2018 - 8:14

score 397 · Answer 8 · 2018-12-01 01:43:20

397

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Galois Field Matrix Multiplication for 512 bit number

Published on 01 Dec 2018 - 1:43

score 130 · Answer 9 · 2018-12-01 08:39:42

130

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Galois group of $f(x)=x^5+2x+1\in\mathbb{Z}_3[x]$

Published on 01 Dec 2018 - 8:39

score 57 · Answer 10 · 2018-12-01 22:34:42

57

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A linear combination of the set $\{ {\bf A},{\bf A}^T\}$

Published on 01 Dec 2018 - 22:34

score 52 · Answer 11 · 2026-03-26 06:03:16

52

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Fast modular composition and irreducibility testing

Published on 26 Mar 2026 - 6:03

score 58 · Answer 12 · 2018-12-02 20:46:37

58

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Does there exist a prime $p$ such that $X^4+X+1$ splits into a product of irreducible quadratics over $\mathbb F_p$?

Published on 02 Dec 2018 - 20:46

score 202 · Answer 13 · 2018-12-03 19:04:35

202

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Degrees in Monomials

Published on 03 Dec 2018 - 19:04

score 441 · Answer 14 · 2018-12-03 20:19:01

441

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Two finite field of same order is isomorphic. Simplest way to prove it.

Published on 03 Dec 2018 - 20:19

score 293 · Answer 15 · 2018-12-03 23:08:14

293

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Finite field generator exponentiation properties

Published on 03 Dec 2018 - 23:08

List Question

Question about characters ( Section : The Rationality of the Zeta Function associated to $a_0x_0^m+a_1x_1^m+...+a_nx_n^m$ )

Trying to understand why the zeta function is a rational function under certain conditions. Questions about some equations.

$f(x)\in \mathbb F_p[X]$ irreducible. Then a splitting field for $f(x)$ has $p^n$ elements

$\mathbb{F}_q(t)$ vs $\mathbb{F}_q[t]$?

Gauss sum possible typo

Characterising the irreducible polynomials in positive characteristic whose roots generate the (cyclic) group of units of the splitting field

Finding a congruence chain (linear and quadratic) equivalent to a polynomial

Galois Field Matrix Multiplication for 512 bit number

Galois group of $f(x)=x^5+2x+1\in\mathbb{Z}_3[x]$

A linear combination of the set $\{ {\bf A},{\bf A}^T\}$

Fast modular composition and irreducibility testing

Does there exist a prime $p$ such that $X^4+X+1$ splits into a product of irreducible quadratics over $\mathbb F_p$?

Degrees in Monomials

Two finite field of same order is isomorphic. Simplest way to prove it.

Finite field generator exponentiation properties

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