3 papers
math.NT2025
On the asymptotics of certain colored partitions
Lukas Mauth
We will prove an infinite family of asymptotic formulas for the logarithm of certain two-colored partitions. An infinite sub-family of these asymptotics was posed as a conjecture b…
math.NT2025
Exact formula for 1-lower run overpartitions
Lukas Mauth
We are going to show an exact formula for lower -run overpartitions. The generating function is of mixed mock-modular type with an overall weight We will apply an extended…
math.NT2025
Log-concavity for partitions without sequences
Lukas Mauth
We prove log-concavity for the function counting partitions without sequences. We use an exact formula for a mixed-mock modular form of weight zero, explicit estimates on modified…