Landsberg–Schaar relation
id:
landsberg-schaar-relation-194-7136208
title:
Landsberg–Schaar relation
text:
In number theory and harmonic analysis, the Landsberg–Schaar relation is the following equation, which is valid for arbitrary positive integers p and q: The standard way to prove it is to put τ = 2iq/p + ε, where ε > 0 in this identity due to Jacobi: and then let ε → 0. A proof using only finite methods was discovered in 2018 by Ben Moore. If we let q = 1, the identity reduces to a formula for the quadratic Gauss sum modulo p. The Landsberg–Schaar identity can be rephrased more symmetrically as
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wiki
category slug:
encyclopedia
description:
Theorem
original url:
https://en.wikipedia.org/wiki/Landsberg%E2%80%93Schaar_relation
date created:
date modified:
2022-01-30T17:52:18Z
main entity:
{"identifier":"Q3147824","url":"https://www.wikidata.org/entity/Q3147824"}
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13
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