| Abstract [eng] |
In this study, the approximation of a pair of analytic functions defined on the strip {π =π+ππ‘ββ:1/2<π<1} by shifts (π(π +ππ),π(π +ππ,πΌ)), πββ, of the Riemann and Hurwitz zeta-functions with transcendental πΌ in the interval [π,π+π»] with π27/82β©½π»β©½π1/2 was considered. It was proven that the set of such shifts has a positive density. The main result was an extension of the Mishou theorem proved for the interval [0,π], and the first theorem on the joint mixed universality in short intervals. For proof, the probability approach was applied. |
