Schnirelmann's density and Waring's problem

• Grant number: 19/27600-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: February 01, 2020
• End date: December 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Luan Alberto Ferreira
• Grantee: Leonardo Carvalho de Souza
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This research project aims to carry out an in-depth study of the concept of Schnirelmann's density and the Waring's problem, including a detailed study of the case $k = 2$ (squares), as well as an asymptotic formula for the general case. (AU)