3 papers
math.NT2025
Asymptotics of partition parts in arithmetic progressions
Kathrin Bringmann, Caner Nazaroglu, Jan-Willem M. van Ittersum
We study the distribution of partition parts in arithmetic progressions and find asymptotic results that capture all exponentially growing terms. This is accomplished by studying t…
math.NT2025
Quasimodular forms that detect primes are Eisenstein
Jan-Willem van Ittersum, Lukas Mauth, Ken Ono +1
MacMahon's partition functions and their extensions provide equations that identify prime numbers as solutions. These results depend on the theory of (mixed weight) quasimodular fo…
math.AG2022
Cylinder counts and spin refinement of area Siegel-Veech constants
Jan-Willem van Ittersum, Adrien Sauvaget
We study the area Siegel-Veech constants of components of strata of abelian differentials with even or odd spin parity. We prove that these constants may be computed using either:…