Seminar at SMU Delhi
September 12, 2018 (Wednesday) ,
3:30 PM at Webinar
Monotonicity Properties of L-functions
Abstract of Talk
We present some monotonicity results for a class of Dirichlet series generalizing previously known results. The fact that $\zeta'(s)$ is in that class presents a
first example of an arithmetic function for which the associated Dirichlet series is completely monotonic, but not logarithmically completely monotonic. If time
permits, we shall also give a new formulation of the Riemann Hypothesis for the L-function associated to the Ramanujan-tau function using these results.