• THE ROOTS OF THE ANALYTICTHETA FUNCTIONS FROM GENERALIZED THE WINDING NUMBERS

Abstract

The paper contains an investigation of winding numbers of paths of zeros of analytic theta functions. We have considered briefly an analytic representation of finite quantum systems . The analytic functions on a torus have exactly zeros. The brief introduction to the zeros of analytic functions and there time evolution is given. We have discussed the periodic finite quantum systems. We have introduced the winding numbers in general. We consider the winding numbers of the zeros of analytic theta functions.