Skip to main content

LUP Student Papers

LUND UNIVERSITY LIBRARIES

Waring’s Problem and the Hardy-Littlewood circle method

Gonçalves Jorge Dias de Carvalho, Francisco LU (2021) In Bachelor's Theses in Mathematical Sciences MATK11 20202
Mathematics (Faculty of Engineering)
Mathematics (Faculty of Sciences)
Abstract
In this bachelor thesis, we appply the Hardy-Littlewood circle method to Waring's problem using Vinogradov's exponential sums approach. On the last section, we focus on the consequeces of the recently proved Vinogradov's mean value theorem.
Popular Abstract
In this bachelor thesis, we investigate whether or not every natural number can be written as a sum of s kth powers (here s and k denote positive integers).
Please use this url to cite or link to this publication:
author
Gonçalves Jorge Dias de Carvalho, Francisco LU
supervisor
organization
course
MATK11 20202
year
type
M2 - Bachelor Degree
subject
keywords
Hardy-Littlewood Weyl sums Weyl's inequality Hua's lemma Vinogradov major arcs minor arcs singular series
publication/series
Bachelor's Theses in Mathematical Sciences
report number
LUNFMA-4125-2021
ISSN
1654-6229
other publication id
2021:K35
language
English
id
9043828
date added to LUP
2021-09-22 15:33:00
date last changed
2021-09-22 15:33:00
@misc{9043828,
  abstract     = {{In this bachelor thesis, we appply the Hardy-Littlewood circle method to Waring's problem using Vinogradov's exponential sums approach. On the last section, we focus on the consequeces of the recently proved Vinogradov's mean value theorem.}},
  author       = {{Gonçalves Jorge Dias de Carvalho, Francisco}},
  issn         = {{1654-6229}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Bachelor's Theses in Mathematical Sciences}},
  title        = {{Waring’s Problem and the Hardy-Littlewood circle method}},
  year         = {{2021}},
}