| Abstract [eng] |
This work is a continuation of the investigation of the Lerch zeta function , , with algebraic irrational parameter , , initiated by A. Laurinčikas, V. Garbaliauskienė, D. Genienė, R. Macaitienė. We recall that the function is defined, for , by and by analytic continuation elsewhere. We consider the case only. In this case, is analytically continuable to an entire function and without loss of generality we can suppose that . Limit theorems in the sense of weak convergence of probability measures on the complex plane and in the space of analytic in some region functions for the function with algebraic irrational parameter has been obtained. |
