# Questions tagged [algebraic-number-theory]

Algebraic number fields, Algebraic integers, Arithmetic Geometry, Elliptic Curves, Function fields, Local fields, Arithmetic groups, Automorphic forms, zeta functions, $L$-functions, Quadratic forms, Quaternion algebras, Homogenous forms, Class groups, Units, Galois theory, Group cohomology, Étale cohomology, Motives, Class field theory, Iwasawa theory, Modular curves, Shimura varieties, Jacobian varieties, Moduli spaces

**4**

**0**answers

### Monogenic cubic rings and elliptic curves

**6**

**0**answers

### Newer versions of Mahler's Lemma

**3**

**2**answers

### On the product $\prod_{k=1}^{(p-1)/2}(x-e^{2\pi i k^2/p})$ with $x$ a root of unity

**3**

**1**answer

### $L$-series and the $\zeta$-function of ideal classes modulo $f$

**4**

**1**answer

### The sign of an interesting sum involving a Dirichlet character

**9**

**1**answer

### A conjectural formula for the class number of the field $\mathbb Q(\sqrt{-p})$ with $p\equiv3\pmod8$

**4**

**2**answers

### Order of Galois action of modular form

**2**

**0**answers

### Vector extension for p-divisible group

**2**

**0**answers

### Explicit example for Display Theory for p-divisible group

**2**

**1**answer

### Motivation to study the order theory (ring theory)

**6**

**0**answers

### Diophantine applications of Paramodularity

**6**

**1**answer

### Zariski closure of set of units in a number ring

**5**

**2**answers

### Rank mod $p$ of a non-singular matrix with given determinant

**3**

**0**answers

### Specialization of an irreducible polynomial and monogeneous ring of integers

**7**

**1**answer