Logarithmic decay and overconvergence of the unit root and associated zeta functions
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 5, pp. 575-604.
@article{ASENS_1991_4_24_5_575_0,
     author = {Dwork, B. and Sperber, S.},
     title = {Logarithmic decay and overconvergence of the unit root and associated zeta functions},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {575--604},
     publisher = {Elsevier},
     volume = {Ser. 4, 24},
     number = {5},
     year = {1991},
     doi = {10.24033/asens.1637},
     mrnumber = {93b:12012},
     zbl = {0765.14011},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1637/}
}
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Dwork, B.; Sperber, S. Logarithmic decay and overconvergence of the unit root and associated zeta functions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 24 (1991) no. 5, pp. 575-604. doi : 10.24033/asens.1637. http://archive.numdam.org/articles/10.24033/asens.1637/

[B] M. Boyarsky, The Reich Trace formula (Astérisque, No. 119-120, 1984, pp. 129-150). | Numdam | MR | Zbl

[C] R. Crew, L-functions of p-Adic Characters and Geometric Iwasawa Theory (Inv. Math., Vol. 88, 1987, pp. 395-403). | MR | Zbl

[Dw 0] B. Dwork, On Hecke Polynomials (Inv. Math., Vol. 12, 1971, pp. 249-256). | MR | Zbl

[Dw 1] B. Dwork, Normalized Period Matrices I (Ann. Math., Vol. 94, 1971, pp. 337-388). | MR | Zbl

[Dw 2] B. Dwork, Normalized Period Matrices II (Ann. Math., Vol. 98, 1973, pp. 1-57). | MR | Zbl

[Dw 3] B. Dwork, Lectures on p-adic differential equations, Springer, 1980.

[Dw 4] B. Dwork, Generalized hypergeometric functions, Oxford Press, 1990. | MR | Zbl

[Dw 5] B. Dwork, On the Zeta Function of a Hypersurface (Publ. Math. I.H.E.S., Vol. 12, 1962, pp. 5-68). | Numdam | MR | Zbl

[E] J. Y. Etesse, Rationalité et valeurs de fonctions L en cohomology cristalline (Ann. Inst. Fourier, Vol. 38, 1988, pp. 33-92). | Numdam | MR | Zbl

[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). | Numdam | Zbl

[Ka 2] N. Katz, Travaux de Dwork (Springer Lect. Notes Math., No. 317, 1973, pp. 167-200). | Numdam | MR | Zbl

[Ka 3] N. Katz, Slope Filtration of F-Crystals (Astérisque, Vol. 69, 1979, pp. 113-164). | Numdam | MR | Zbl

[R] D. Reich, A p-Adic Fixed Point Formula (Am. J. Math., Vol. 91, 1969, pp. 835-850). | MR | Zbl

[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). | Numdam | Zbl

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