An integer programming problem connected with the classical logarithmic residue theorem



The celebrated logarithmic residue theorem from complex function theory gives a connection between the number of zeros of an analytic function f in a domain D and the contour integral of the logarithmic derivative f'/f over the  boundary of D. How is the situation when one considers analytic functions having their values in target algebras more general than the complex plane? The issue has surprisingly many ramifications. This will be illustrated by looking at the situation where the target algebra is that of the n x n upper triangular matrices. The talk is based on earlier work with Albert Wagelmans.  

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