Date: 24/05/2024
Time: 10:00 - 11:00

Location: HA 105 RISC Hagenberg and online via Zoom: https://jku.zoom.us/j/97382202890?pwd=d1pNNUx2VjhKT0pMYkxrdjZqQUhPUT09 Meeting ID: 973 8220 2890 Passwort: RISC

In this talk we present a summary of the articles contained in our Habilitation treatise. These articles are about algorithms related to proving identities and congruences linked to modular functions. Also we present theorems that are naturally connected to such algorithms. For example we give a proof of the Weierstrass gap theorem without using the Riemann-Roch theorem. Another example is a result concerning the divisibility of the partition function p(n) by 2. Namely that there exist no natural numbers A>0 and B such that p(An+B) is divisible by 2 for all n.