Question

Prove the sum of the Mobius function over monic polynomials of degree $n$ is $0$ if $n > 1$

score 423 · Answer 1 · 2026-03-25 09:28:43

423

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Prove the sum of the Mobius function over monic polynomials of degree $n$ is $0$ if $n > 1$

Published on 25 Mar 2026 - 9:28

score 35 · Answer 2 · 2026-03-26 06:25:41

35

Views

differential uniformity solution of exponential box

Published on 26 Mar 2026 - 6:25

score 599 · Answer 3 · 2026-03-27 19:52:53

599

Views

Does $\mathbb{F}_9$ contain a 4th root of unity?

Published on 27 Mar 2026 - 19:52

score 32 · Answer 4 · 2026-03-27 17:53:04

32

Views

Misprint in Fearless Symmetry by Ash and Gross? Conditions for Elliptic Curves.

Published on 27 Mar 2026 - 17:53

score 42 · Answer 5 · 2019-02-17 19:05:43

42

Views

Showing that $\{\overrightarrow x, \overrightarrow y, \overrightarrow z\}$ is linearly independent

Published on 17 Feb 2019 - 19:05

score 607 · Answer 6 · 2026-03-25 07:21:56

607

Views

Why does the cardinality of the vector space over a finite field of characteristic $p$ have to be a power of $p$?

Published on 25 Mar 2026 - 7:21

score 112 · Answer 7 · 2026-03-25 20:42:21

112

Views

Product ring isomorphism from example 11.6.3 in Artin's Algebra

Published on 25 Mar 2026 - 20:42

score 22 · Answer 8 · 2019-02-19 17:29:00

22

Views

When is a field element in its base field?

Published on 19 Feb 2019 - 17:29

score 74 · Answer 9 · 2019-02-20 12:43:22

74

Views

Associativity and commutativity of the Field of order 2, ${\mathbb{F}_2}$

Published on 20 Feb 2019 - 12:43

score 187 · Answer 10 · 2019-02-20 14:14:54

187

Views

Inner product with values in a finite field over space of finite functions

Published on 20 Feb 2019 - 14:14

score 35 · Answer 11 · 2019-02-20 14:25:27

35

Views

Polynomial dividing a power of another polynomial

Published on 20 Feb 2019 - 14:25

score 80 · Answer 12 · 2026-03-25 09:28:11

80

Views

field extension being algebraic is equivalent to every $K-$ algebra being an automorphism.

Published on 25 Mar 2026 - 9:28

score 475 · Answer 13 · 2026-03-25 16:02:55

475

Views

Why is the residue field of $\mathbb{Q}_p$ isomorphic to $\mathbb{F}_p$?

Published on 25 Mar 2026 - 16:02

score 143 · Answer 14 · 2019-02-21 00:50:09

143

Views

Number of distinct roots of $f(x) = x^n - d \in \mathbb{Z}_p[x]$ in its splitting field

Published on 21 Feb 2019 - 0:50

score 70 · Answer 15 · 2026-03-26 13:52:48

70

Views

Is the rank of a matrix with coefficients $\{-1,0,1\}$ the same as the rank of the matrix with coefficients in $GF(3)$?

Published on 26 Mar 2026 - 13:52

List Question

Prove the sum of the Mobius function over monic polynomials of degree $n$ is $0$ if $n > 1$

differential uniformity solution of exponential box

Does $\mathbb{F}_9$ contain a 4th root of unity?

Misprint in Fearless Symmetry by Ash and Gross? Conditions for Elliptic Curves.

Showing that $\{\overrightarrow x, \overrightarrow y, \overrightarrow z\}$ is linearly independent

Why does the cardinality of the vector space over a finite field of characteristic $p$ have to be a power of $p$?

Product ring isomorphism from example 11.6.3 in Artin's Algebra

When is a field element in its base field?

Associativity and commutativity of the Field of order 2, ${\mathbb{F}_2}$

Inner product with values in a finite field over space of finite functions

Polynomial dividing a power of another polynomial

field extension being algebraic is equivalent to every $K-$ algebra being an automorphism.

Why is the residue field of $\mathbb{Q}_p$ isomorphic to $\mathbb{F}_p$?

Number of distinct roots of $f(x) = x^n - d \in \mathbb{Z}_p[x]$ in its splitting field

Is the rank of a matrix with coefficients $\{-1,0,1\}$ the same as the rank of the matrix with coefficients in $GF(3)$?

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