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 ...

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**0**answers

### Minimal steps of construction for constructible number

**3**

**0**answers

### Modular root of $-1$

**0**

**1**answer

### Parity and number of squares taken by polynomials in a range?

**1**

**1**answer

### references on group representation over local fields / a question on an argument of a Ralph Greenberg's paper

**2**

**0**answers

### The Hilbert Symbol and real algebraic geometry

**3**

**1**answer

### Sums of squares in global fields (Reference Request)

**11**

**1**answer

### Determine $2^{\frac{p-1}{4}}\equiv 1\pmod p$ or $2^{\frac{p-1}{4}}\equiv -1\pmod p$ when $p\equiv 1 \pmod 8$

**-1**

**0**answers

### A question about Ideals in Number Fields [closed]

**10**

**1**answer

### Books with exercises to learn Langlands program, Galois representations, modular forms

**9**

**2**answers

### Berkovich space including both archimedean and non-archimedean worlds

**6**

**0**answers

### $p >2$ is a prime, any facts about congruence relation between the class number of $Q(\sqrt p)$ and $Q(\sqrt-p)$?

**26**

**2**answers

### How to visualize Dirichlet’s unit theorem?

**5**

**1**answer

### Splitting of primes in cyclotomic $\mathbb{Z}_p$-extension

**8**

**1**answer

### Unique factorisation of prime geodesics?

**11**

**1**answer

### If $R$ is an etale extension of $\mathbb Z$, then $R = \mathbb Z^n$?

**3**

**0**answers

### When does a number field have $p$-rank greater than $n$?

**0**

**0**answers

### The localization of the integral closure of a valuation ring is a valuation ring

**-1**

**0**answers

### Constructive Kronecker-Weber

**3**

**0**answers

### Reference Request: Specialization map in Huber's Context

**3**

**0**answers

### The maximal unramified extension is the intersection of the maximal unramified extension of a localization?

**16**

**1**answer

### Centraliser of an absolute Galois group

**6**

**1**answer

### Are all totally ramified $\mathbb{Z}_p$-extensions of local fields come from (relative) Lubin-Tate formal groups?

**1**

**1**answer

### A question on a proof in the Ralph Greenberg's paper “On a Certain l-Adic Representation”

**8**

**0**answers

### Local Langlands Correspondence for unramified principal series representations

**2**

**0**answers

### Specialization map on geometric points

**1**

**0**answers

### Lefschetz trace formula and Frobenius elements

**6**

**1**answer

### Binomial coefficients in discrete valuation rings

**5**

**1**answer

### Is there infinitely many prime $p$ such that the normalized trace of Frobenius $\frac{a_p(E)}{2\sqrt{p}}$ is arbitrarily small (but not zero)?

**0**

**0**answers

### Definition of the local Artin conductor for a representation of the Weil group

**3**

**0**answers

### The closed subgroup of the idele corresponding to the maximal elementary $p$-extension of a global field

**17**

**2**answers

### Langlands correspondence for higher local fields?

**1**

**0**answers

### A mixed of the Dedekind zeta function and the L-function

**14**

**1**answer

### Largest rank assumed by infinitely many elliptic curves

**7**

**3**answers

### Dirichlet/Chebotarev's Theorem for natural/analytic density

**8**

**2**answers

### Does $\det\left[\left(\frac{i^2-\frac{p-1}2!\,j}p\right)\right]_{1\le i,j\le(p-1)/2}$ vanish for every prime $p\equiv3\pmod 4$?

**0**

**0**answers

### Compositum and intersection of number fields

**4**

**0**answers

### What is known about the homomorphisms from local to global Weil groups?

**0**

**0**answers

### Modern exposition of Igusa's Kroneckerian Model of Elliptic Modular Functions

**4**

**1**answer

### Do all finite-dimensional division algebras appear as Wedderburn factors of rational group rings?

**6**

**0**answers

### From Bhargava to Gauss — Why does correspondence of cubes and ideal classes imply Gauss correspondence?

**13**

**1**answer

### Some clarifications on Connes' approach to RH

**13**

**0**answers

### Integral element over p-adic power series

**9**

**1**answer

### Why are values of Eisenstein $E_2^*$ algebraic integers?

**4**

**0**answers

### Supercuspidals and representations of $\operatorname{Gal}(\overline{F}/F)$

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**0**answers

### Linear polynomials with prescribed prime factors

**2**

**0**answers

### Zagier's algebraicity of singular moduli

**2**

**0**answers

### What are the known results on the non-abelian Stark conjecture

**5**

**1**answer

### A question on the injectivity of a canonical map between galois cohomology groups

**5**

**0**answers

### Sign preserving Galois automorphisms

**4**

**1**answer