On Gaps Between Sums of Powers and Other Topics in Number Theory and Combinatorics

One main goal of this thesis is to show that for every K it is possible to find K consecutive natural numbers that cannot be written as sums of three nonnegative cubes. Since it is believed that approximately 10% of all natural numbers can be written in this way, this result indicates that the sums...

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Bibliographic Details
Main Author: Ghidelli, Luca
Other Authors: Roy, Damien
Format: Others
Language:en
Published: Université d'Ottawa / University of Ottawa 2020
Subjects:
Online Access:http://hdl.handle.net/10393/40014
http://dx.doi.org/10.20381/ruor-24253