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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The zeta function of toral endomorphisms


Author: James W. England
Journal: Proc. Amer. Math. Soc. 34 (1972), 321-322
MSC: Primary 15A15; Secondary 54H99
DOI: https://doi.org/10.1090/S0002-9939-1972-0294361-7
MathSciNet review: 0294361
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Abstract: In this note we give a completely elementary way to compute the number of fixed points of a certain class of toral endomorphisms. This, in turn, gives the zeta function of these endomorphisms.


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DOI: https://doi.org/10.1090/S0002-9939-1972-0294361-7
Keywords: Fixed points, matrix, eigenvalues, ergodic automorphisms
Article copyright: © Copyright 1972 American Mathematical Society