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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.NT2025
Some topological genera and Jacobi forms
Tewodros Amdeberhan, Michael Griffin, Ken Ono
We revisit and elucidate the -genus, Hirzebruch's -genus and Witten's -genus, cobordism invariants of special classes of manifolds. After slight modification, in…