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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.NT2024
On the parity of coefficients of eta powers
Steven Charlton, Lukas Mauth, Anna Medvedovsky
We consider a special subsequence of the Fourier coefficients of powers of the Dedekind -function, analogous to the sequence on which exception…