AbstractWe investigate approximations of the Riemann zeta function by truncations of its Dirichlet series and Euler product, and then construct a parameterized family of non-analytic approximations to the zeta function. Apart from a few possible exceptions near the real axis, each function in the family satisfies a Riemann Hypothesis. When the parameter is not too large, the functions have roug...
AbstractIn the study of the branching Brownian motion, the convergence of the derivative martingale is of significant interest, since the limit can be used to study the travelling wave solutions of the FKPP (Fisher–Kolmogorov–Petrovskii–Piskunov) equation.Recently, Bertoin introduces branching Lévy processes, generalizing the branching Brownian motion to a very general class of branching par...