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Record Nr. |
UNINA9910788841403321 |
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Autore |
Felʹshtyn Alexander <1952-> |
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Titolo |
Dynamical zeta functions, Nielsen theory, and Reidemeister torsion / / Alexander Felʹshtyn |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2000 |
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ISBN |
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Descrizione fisica |
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1 online resource (165 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 699 |
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Disciplina |
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Soggetti |
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Functions, Zeta |
Fixed point theory |
Piecewise linear topology |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 147, number 699 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""Introduction""; ""0.1 From Riemann zeta function to dynamical zeta functions""; ""0.1.1 Riemann zeta function""; ""0.1.2 Problems concerning zeta functions""; ""0.1.3 Important types of zeta functions""; ""0.1.4 Hasse-Weil zeta function""; ""0.1.5 Dynamical zeta functions""; ""0.2 Dynamical zeta functions and Nielsen fixed point theory""; ""0.3 Congruences for Reidemeister numbers""; ""0.4 Reidemeister torsion""; ""0.5 Table of contents""; ""1 Nielsen Fixed Point Theory""; ""1.1 History""; ""1.2 Lifting classes and fixed point classes""; ""1.2.1 The influence of a homotopy"" |
""1.3 Reidemeister numbers""""1.3.1 Reidemeister numbers of a continuous map""; ""1.3.2 Reidemeister numbers of a group endomorphism""; ""1.4 Nielsen numbers of a continuous map""; ""1.4.1 The fixed point index""; ""1.4.2 Nielsen numbers""; ""1.4.3 The least number of fixed points""; ""2 The Reidemeister zeta function""; ""2.1 A Convolution Product""; ""2.2 Pontryagin Duality""; ""2.3 Eventually commutative endomorphisms""; ""2.3.1 Trace formula for the Reidemeister numbers of eventually commutative endomorphisms"" |
""2.3.2 Rationality of Reidemeister zeta functions of eventually commutative endomorphisms - first proof""""2.3.3 Functional equation for the Reidemeister zeta function of an eventually commutative |
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