On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence $\left\lfloor \frac{n^2}{a} \right\rfloor$

Frederik Ravn Klausen; Peter Michael Reichstein Rasmussen; Sebastian Tim Holdum

arxiv: 1507.00369 · v1 · pith:7X4HJIYEnew · submitted 2015-06-18 · 🧮 math.NT

On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence leftlfloor frac{n²}{a} rightrfloor

Sebastian Tim Holdum , Frederik Ravn Klausen , Peter Michael Reichstein Rasmussen This is my paper

classification 🧮 math.NT

keywords conjecturefarhifracleftlfloorpositiverepresentationrfloor

0 comments

read the original abstract

We prove some cases of a conjecture by Farhi on the representation of every positive integer as the sum of three terms of the sequence $ \left\lfloor\frac{n^2}{a}\right\rfloor$. This is done by generalizing a method used by Farhi in his original paper.

This paper has not been read by Pith yet.

On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence leftlfloor frac{n²}{a} rightrfloor

discussion (0)