Waring’s Problem and the Hardy-Littlewood circle method
(2021) In Bachelor's Theses in Mathematical Sciences MATK11 20202Mathematics (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:
http://lup.lub.lu.se/student-papers/record/9043828
- author
- Gonçalves Jorge Dias de Carvalho, Francisco LU
- supervisor
-
- Oscar Marmon LU
- organization
- course
- MATK11 20202
- year
- 2021
- 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}}, }