High Quality Content by WIKIPEDIA articles! In mathematics, the Lefschetz zeta-function is a tool used in topological periodic and fixed point theory, and dynamical systems. Given a mapping , the zeta-function is defined as the formal series where L( n) is the Lefschetz number of the nth iterate of . This zeta-function is of note in topological periodic point theory because it is a single invariant containing information about all iterates of .

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