Averaging with primitive roots

Abstract: 

After reviewing classical results on average versions of Artin Conjecture for primitive roots mainly due to Goldfeld, Stephens and Warlimont, we will adapt the known techniques of exponential sums mainly due to the large sieve to several other problems. Typical examples are: the r-dimensional Artin Conjecture, the Schinzel Wojcik problem, the simultaneous primitive roots problem and more. This is joint ongoing work with I. Shparlinski.