Special values of L-functions
id:
special-values-of-l-functions-177-16800553
title:
Special values of L-functions
text:
In mathematics, the study of special values of L-functions is a subfield of number theory devoted to generalising formulae such as the Leibniz formula for π, namely 1 − 1 3 + 1 5 − 1 7 + 1 9 − ⋯ = π 4, by the recognition that expression on the left-hand side is also L where L is the Dirichlet L-function for the field of Gaussian rational numbers. This formula is a special case of the analytic class number formula, and in those terms reads that the Gaussian field has class number 1. The factor 1
brand slug:
wiki
category slug:
encyclopedia
description:
Subfield of number theory
original url:
https://en.wikipedia.org/wiki/Special_values_of_L-functions
date created:
2009-12-04T08:58:52Z
date modified:
2024-09-04T07:01:45Z
main entity:
{"identifier":"Q7574878","url":"https://www.wikidata.org/entity/Q7574878"}
image:
fields total:
13
integrity:
15