Vinogradov's mean-value theorem
id:
vinogradov-s-mean-value-theorem-310-6315800
title:
Vinogradov's mean-value theorem
text:
In mathematics, Vinogradov's mean value theorem is an estimate for the number of equal sums of powers.
It is an important inequality in analytic number theory, named for I. M. Vinogradov. More specifically, let J s , k count the number of solutions to the system of k simultaneous Diophantine equations in 2 s variables given by with That is, it counts the number of equal sums of powers with equal numbers of terms and equal exponents,
up to k th powers and up to powers of X . An alternative analyt
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Vinogradov%27s_mean-value_theorem
date created:
date modified:
2024-01-25T18:21:55Z
main entity:
{"identifier":"Q18359323","url":"https://www.wikidata.org/entity/Q18359323"}
image:
fields total:
13
integrity:
13