⌂ → Characters → Dirichlet → Interesting
Citation · Feedback · Hide Menu
Some interesting Dirichlet characters

Introduction

OverviewRandom
UniverseKnowledge

L-functions

RationalAll

Modular forms

ClassicalMaass
HilbertBianchi

Varieties

Elliptic curves
over $\Q$
over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Fields

Number fields
$p$-adic fields

Representations

Dirichlet characters
Artin representations

Groups

Galois groups
Sato-Tate groups
Abstract groups
groups
subgroups
characters
conjugacy classes

Database

Learn more

  • Source and acknowledgments
  • Completeness of the data
  • Reliability of the data
  • Dirichlet character labels
  • Dirichlet character orbit labels
Label Description
3.2 First nontrivial Dirichlet character
4.3 First Dirichlet character with composite conductor
5.2 First irrational Dirichlet character
6.5 Imprimitive nontrivial Dirichlet character with the smallest modulus
8.7 First Dirichlet character that is not minimal.

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Contact · Citation · License · Acknowledgments · Editorial Board · Source · SageMath version 10.5 · LMFDB Release 1.2.1