List questions from algebraic-number-theory

Published on 06 Apr 2026 - 1:50

71

Views

Proof that the extension is galois

Published on 12 Apr 2026 - 8:35

63

Views

Proving an inequality based on the discriminant of a cubic polynomial

Published on 25 Mar 2026 - 3:02

113

Views

How to use norms to prove non-UFD?

Published on 11 Apr 2026 - 20:16

124

Views

How does this imply that $O_L/\mathfrak{p} O_L$ has non-zero nilpotent element?

Published on 25 Mar 2026 - 9:26

142

Views

What's the pattern represented by the numbers in the two circles?

Published on 14 Apr 2026 - 8:17

151

Views

Perfect squares of the form $ab^n+c$ and a Diophantine equation

Published on 14 Apr 2026 - 14:21

153

Views

Trace of polynomials/algebraic integers

Published on 09 Apr 2026 - 8:05

1k

Views

Why the extension $L/K$ is ramified in exactly those primes that divide the relative discriminant?

Published on 14 Apr 2026 - 2:57

203

Views

Proth's primality criterion - understanding the common proof

Published on 11 Apr 2026 - 17:36

87

Views

Let $\mathbb{F}$ be a purely real number field. What is the Pontryagin Dual of $\mathbb{F}/\mathbb{Z}$?

Published on 15 Apr 2026 - 19:16

134

Views

Why does unit group of valuation ring contains $K^{\times}$

Published on 12 Apr 2026 - 19:47

74

Views

Confusion in Proposition 10.4 of Silverman's Advanced Topics in the Arithmetic of Elliptic Curves

Published on 25 Mar 2026 - 1:18

41

Views

The cardinality of the set of algebraic integers whose reciprocal has its largest coefficient (with respect to a integral basis) in a given interval.

Published on 14 Apr 2026 - 23:32

119

Views

correspondence between non archimedean valuations and prime ideals

Published on 10 Apr 2026 - 15:36

List Question

Inertia group of function field

Proof that the extension is galois

Proving an inequality based on the discriminant of a cubic polynomial

How to use norms to prove non-UFD?

How does this imply that $O_L/\mathfrak{p} O_L$ has non-zero nilpotent element?

What's the pattern represented by the numbers in the two circles?

Perfect squares of the form $ab^n+c$ and a Diophantine equation

Trace of polynomials/algebraic integers

Why the extension $L/K$ is ramified in exactly those primes that divide the relative discriminant?

Proth's primality criterion - understanding the common proof

Let $\mathbb{F}$ be a purely real number field. What is the Pontryagin Dual of $\mathbb{F}/\mathbb{Z}$?

Why does unit group of valuation ring contains $K^{\times}$

Confusion in Proposition 10.4 of Silverman's Advanced Topics in the Arithmetic of Elliptic Curves

The cardinality of the set of algebraic integers whose reciprocal has its largest coefficient (with respect to a integral basis) in a given interval.

correspondence between non archimedean valuations and prime ideals

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