The first part contains a few facts about Riemann taken from correspondence (of Riemann and of Dedekind), and then describes Riemann’s letter to Weierstrass concerning his paper on the distribution of primes. It is followed by a brief outline of the paper itself.
The second part deals with his course of Wintersemester 1858/59 on the hypergeometric series, which anticipated by a decade important work of L. Fuchs and H.A. Schwarz. The course also contains Riemann’s ideas on what we would now call finite dimensional local systems on P
1 \ S where S is finite.