Showing math.NTShow all
3 papers · 1 filter
math.NT2018
An Identity for the Partition Function Involving Parts of k Different Magnitudes
Saud Hussein
Using previous work by Merca, we show the partition function involving parts of k different magnitudes, shifted by the triangular numbers, equals the self convolution of the unrest…
math.NT2018
A note on the converse of Wolstenholme's Theorem
Saud Hussein
Given a prime p and a positive integer m satisfying a certain inequality, the converse of Wolstenholme's Theorem is shown to hold for the product mp^k where k is any positive integ…
math.NT2018
New conjecture related to a conjecture of McIntosh
Saud Hussein
We introduce a new conjecture on products of two distinct primes that would provide a partial answer to a conjecture of McIntosh. Also, is written in terms of…