LMFDB - Dirichlet character data extent (awaiting review)

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The database contains basic information (basic properties, Galois orbit, field of values) for all Dirichlet characters of modulus less than $10^{20}$, with more detailed information available for those of modulus less than $10^5$. L-functions are available for characters of modulus up to 2800 (and some of higher modulus).

Authors:

Pascal Molin
Kiran S. Kedlaya
Andrew Sutherland

Knowl status:

Review status: beta
Last edited by Andrew Sutherland on 2020-09-26 16:56:49

Referred to by:

Not referenced anywhere at the moment.

History: (expand/hide all)

2020-09-26 16:56:49 by Andrew Sutherland
2019-03-24 00:17:13 by Andrew Sutherland
2019-03-24 00:16:02 by Andrew Sutherland
2019-03-24 00:15:10 by Andrew Sutherland
2018-07-04 17:41:05 by Kiran S. Kedlaya

Differences (show/hide)

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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