Number Theory Seminar: David Roberts

  • Date: 10/30/2018
  • Time: 11:00
David Roberts, University of Minnesota Morris

University of Washington


Explicit Plancherel Measures and Counting L-functions


We summarize the theory of Plancherel measures for real groups in a way which makes direct connections with L-functions through their gamma factors. These measures give a "first guess" as to how many L-functions there should be with certain numerical invariants. We compare the theory with L-functions which are currently on the LMFDB and discuss places where the Plancherel theory suggests to look for more L-functions with small conductor.

Other Information: 

Location: PDL C-401