Logarithmic decay and overconvergence of the unit root and associated zeta functions

B. Dwork; S. Sperber

Annales scientifiques de l'École Normale Supérieure (1991)

  • Volume: 24, Issue: 5, page 575-604
  • ISSN: 0012-9593

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Dwork, B., and Sperber, S.. "Logarithmic decay and overconvergence of the unit root and associated zeta functions." Annales scientifiques de l'École Normale Supérieure 24.5 (1991): 575-604. <http://eudml.org/doc/82306>.

@article{Dwork1991,
author = {Dwork, B., Sperber, S.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {finite ground field; unit root -functions; overconvergent cohomology theory; unit zeta function; logarithmic decay},
language = {eng},
number = {5},
pages = {575-604},
publisher = {Elsevier},
title = {Logarithmic decay and overconvergence of the unit root and associated zeta functions},
url = {http://eudml.org/doc/82306},
volume = {24},
year = {1991},
}

TY - JOUR
AU - Dwork, B.
AU - Sperber, S.
TI - Logarithmic decay and overconvergence of the unit root and associated zeta functions
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1991
PB - Elsevier
VL - 24
IS - 5
SP - 575
EP - 604
LA - eng
KW - finite ground field; unit root -functions; overconvergent cohomology theory; unit zeta function; logarithmic decay
UR - http://eudml.org/doc/82306
ER -

References

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  3. [Dw 0] B. DWORK, On Hecke Polynomials (Inv. Math., Vol. 12, 1971, pp. 249-256). Zbl0219.14014MR46 #1735
  4. [Dw 1] B. DWORK, Normalized Period Matrices I (Ann. Math., Vol. 94, 1971, pp. 337-388). Zbl0241.14011MR53 #442a
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  6. [Dw 3] B. DWORK, Lectures on p-adic differential equations, Springer, 1980. 
  7. [Dw 4] B. DWORK, Generalized hypergeometric functions, Oxford Press, 1990. Zbl0747.33001MR92h:14006
  8. [Dw 5] B. DWORK, On the Zeta Function of a Hypersurface (Publ. Math. I.H.E.S., Vol. 12, 1962, pp. 5-68). Zbl0173.48601MR28 #3039
  9. [E] J. Y. ETESSE, Rationalité et valeurs de fonctions L en cohomology cristalline (Ann. Inst. Fourier, Vol. 38, 1988, pp. 33-92). Zbl0624.14016MR90c:11042
  10. [Ka 1] N. KATZ, On the Differential Equation Satisfied by a Period Matrix (Publ. Math. I.H.E.S., Vol. 35, 1968, pp. 71-196). Zbl0159.22502
  11. [Ka 2] N. KATZ, Travaux de Dwork (Springer Lect. Notes Math., No. 317, 1973, pp. 167-200). Zbl0259.14007MR58 #16672
  12. [Ka 3] N. KATZ, Slope Filtration of F-Crystals (Astérisque, Vol. 69, 1979, pp. 113-164). Zbl0426.14007MR81i:14014
  13. [R] D. REICH, A p-Adic Fixed Point Formula (Am. J. Math., Vol. 91, 1969, pp. 835-850). Zbl0213.47502MR41 #210
  14. [S-S] S. SPERBER and Y. SIBUYA, On the p-Adic Continuation of the Logarithmic Derivative of Certain Hypergeometric Functions (G.E.A.U., Exp. 4, 1984/1985). Zbl0589.12021

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