Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373 Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3 Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9
I will discuss Klurman’s classification of multiplicative functions taking ±1 with bounded partial sums, and extend this result to multiplicative functions taking values outside the unit disk. I also will talk about partial sums of modified Dirichlet characters, these are completely multiplicative functions that differ from some χ at a finite set of primes.
These partial sums are not well understood and I will present conjectures and examples.[su_spacer size=”10″]