Välkommen till föreläsningen i seminarieserien i matematik.
The Wiener-Ikehara theorem is one of the cornerstones of complex Tauberian theory for Laplace transforms. This useful result has found many applications in diverse areas of mathematics such as number theory and spectral theory. In this talk we will survey some developments on the Wiener-Ikehara theorem from the last decade. Among others, we will discuss minimal assumptions on the boundary behavior of the Laplace transform, exact forms of the theorem, absence of reminders, and some quantied versions of it.