Sebastian Tim Holdum

collaborators

2 papers

math.NT2026

Powers in prime bases and a problem on central binomial coefficients

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

It is an open problem whether $(n 2 n)$ is divisible by 4 or 9 for all $n > 256$ . In connection with this, we prove that for a fixed uneven $m$ the asymptotic density of $k$ '…

math.NT2015

On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence $⌊ \frac{n ^{2}}{a} ⌋$

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

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 $⌊ \frac{n ^{2}}{a} ⌋$ . Th…

Powers in prime bases and a problem on central binomial coefficients

On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence ⌊an2​⌋

On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence $⌊ \frac{n ^{2}}{a} ⌋$