The Reidemeister zeta function and the computation of the Nielsen zeta function

A. Fel'shtyn

Colloquium Mathematicae (1991)

  • Volume: 62, Issue: 1, page 153-166
  • ISSN: 0010-1354

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Fel'shtyn, A.. "The Reidemeister zeta function and the computation of the Nielsen zeta function." Colloquium Mathematicae 62.1 (1991): 153-166. <http://eudml.org/doc/210090>.

@article{Felshtyn1991,
author = {Fel'shtyn, A.},
journal = {Colloquium Mathematicae},
keywords = {Reidemeister zeta function; Nielsen zeta function},
language = {eng},
number = {1},
pages = {153-166},
title = {The Reidemeister zeta function and the computation of the Nielsen zeta function},
url = {http://eudml.org/doc/210090},
volume = {62},
year = {1991},
}

TY - JOUR
AU - Fel'shtyn, A.
TI - The Reidemeister zeta function and the computation of the Nielsen zeta function
JO - Colloquium Mathematicae
PY - 1991
VL - 62
IS - 1
SP - 153
EP - 166
LA - eng
KW - Reidemeister zeta function; Nielsen zeta function
UR - http://eudml.org/doc/210090
ER -

References

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  1. [1] A. L. Fel'shtyn, New zeta function in dynamics, in: Tenth Internat. Conf. on Nonlinear Oscillations, Varna, Abstracts of papers, Bulgar. Acad. Sci., 1984, 208. 
  2. [2] A. L. Fel'shtyn, A new zeta-function in Nielsen theory and the universal product formula for dynamic zeta-functions, Funktsional. Anal. i Prilozhen. 21 (2) (1987), 90-91 (in Russian); English transl.: Functional Anal. Appl. 21 (1987), 168-170. 
  3. [3] A. L. Fel'shtyn, Zeta functions in Nielsen theory, Funktsional. Anal. i Prilozhen. 22 (1) (1988), 87-88 (in Russian); English transl.: Functional Anal. Appl. 22 (1988), 76-77. 
  4. [4] A. L. Fel'shtyn, New zeta functions for dynamical systems and Nielsen fixed point theory, in: Lecture Notes in Math. 1346, Springer, 1988, 33-55. 
  5. [5] A. L. Fel'shtyn, Dynamical zeta-function and the Nielsen theory, in: Baku Internat. Topological Conf., Abstracts of papers, Akad. Nauk SSSR, 1988, 311. 
  6. [6] A. L. Fel'shtyn, The Reidemeister and the Nielsen zeta functions, in: Proc. Baku Internat. Topological Conf., to appear. 
  7. [7] P. R. Heath, Product formulae for Nielsen numbers of fibre maps, Pacific J. Math. 117 (2) (1985), 267-289. Zbl0571.55002
  8. [8] N. V. Ivanov, Entropy and the Nielsen numbers, Dokl. Akad. Nauk SSSR 265 (2) (1982), 284-287 (in Russian); English transl.: Soviet Math. Dokl. 26 (1982), 63-66. 
  9. [9] B. Jiang, Nielsen Fixed Point Theory, Contemp. Math. 14, Birkhäuser, 1983. Zbl0512.55003
  10. [10] S. Lefschetz, Continuous transformations of manifolds, Proc. Nat. Acad. Sci. U.S.A. 9 (1923), 90-93. Zbl49.0409.01
  11. [11] J. Nielsen, Untersuchungen zur Topologie des geschlossenen zweiseitigen Fläche, Acta Math. 50 (1927), 189-358. Zbl53.0545.12
  12. [12] V. B. Pilyugina and A. L. Fel'shtyn, The Nielsen zeta function, Funktsional. Anal. i Prilozhen. 19 (4) (1985), 61-67 (in Russian); English transl.: Functional. Anal. Appl. 19 (1985), 300-305. 
  13. [13] K. Reidemeister, Automorphismen von Homotopiekettenringen, Math. Ann. 112 (1936), 586-593. 
  14. [14] M. Shub, Endomorphisms of compact differentiable manifolds, Amer. J. Math. 91 (1969), 175-179. 
  15. [15] S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817. Zbl0202.55202
  16. [16] W. Thurston, Three dimensional manifolds, kleinian groups, and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6 (3) (1982), 357-381. Zbl0496.57005
  17. [17] A. Weil, Numbers of solutions of equations in finite fields, ibid. 55 (1949), 497-508. Zbl0032.39402

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