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...
Speaker: Anton Dzhamay (BIMSA)Time: 17:00-17:45, 2024-12-02Venue: A6-1Zoom: 388 528 9728Password: BIMSAAbstractMany interesting examples of integrable systems can be studied from the geometric point of view. One such recent example is a class of non-autonomous discrete dynamical systems known as discrete Painlevé equations whose role in a wide range of problems in mathematical physics has been...