no. 1
Kloosterman sums and monodromy of a p-adic hypergeometric equation
Compositio Mathematica, Tome 91 (1994) no. 1, pp. 1-36 
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     publisher = {Kluwer Academic Publishers},
     volume = {91},
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     zbl = {0806.14018},
     language = {en},
     url = {https://www.numdam.org/item/CM_1994__91_1_1_0/}
}
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Crew, Richard. Kloosterman sums and monodromy of a $p$-adic hypergeometric equation. Compositio Mathematica, Tome 91 (1994) no. 1, pp. 1-36. https://www.numdam.org/item/CM_1994__91_1_1_0/

[1] P. Berthelot, Géometrie rigide et cohomologie des variétés algébriques de caracteristique p, Journés d'analyse p-adique (Luminy 1982), Mémoire de la S.M.F. No. 23, suppl. au Bull. S.M.F. 114 (1986) fasc.2, 7-32. | Zbl | MR | Numdam

[2] P. Berthelot, Cohomologie rigide et théorie de Dwork: le cas des sommes exponentielles, in Astérisque 119-120 (1984) 17-49. | Zbl | MR | Numdam

[3] P. Berthelot, Cohomologie rigide et cohomologie rigide á support propre, to appear in Astérisque.

[4] A. Borel, Linear algebraic groups, 2nd ed., Springer-Verlag (1991). | Zbl | MR

[5] S. Bosch, B. Dwork, and Ph. Robba, A rigid analytic version of M. Artin's theorem on analytic equations, Math. Ann. 255 (1981) 395-404. | Zbl | MR

[6] R. Crew, F-isocrystals and p-adic representations, in Algebraic Geometry-Bowdoin 1985, Proc. Symp. Pure Math. 46(2) (1987) 111-138. | Zbl | MR

[7] R. Crew, F-isocrystals and their monodromy groups, Ann. Sc. Ec. Norm. Sup. 4e sér. 25 (1992) 429-464. | Zbl | MR | Numdam

[8] P. Deligne, La conjecture de Weil II, Publ. Math. IHES 52 (1980) 137-352. | Zbl | MR | Numdam

[9] P. Deligne and J. Milne, Tannakian Categories, in Lecture Notes in Math. 900, Springer-Verlag (1982). | Zbl

[10] B. Dwork, Bessel functions as p-adic functions of the argument, Duke Math. J. 41 (1974) 711-738. | Zbl | MR

[11] S. Helgason, Differential geometry and symmetric spaces, Academic Press (1962). | Zbl | MR

[12] N. Katz, Travauxs de Dwork, Séminaire Bourbaki 1971 -2, exposé 409, in Lecture Notes in Math. 317, Springer-Verlag (1973), pp. 167-200. | Zbl | MR | Numdam

[13] N. Katz, p-adic properties of modular schemes and modular forms, in Lecture Notes in Math. 350, Springer-Verlag (1973), 69-190. | Zbl | MR

[14] N. Katz, Slope filtration of F-crystals, in Journées de géométrie algébrique de Rennes I, Astérisque 63 (1979) 113-163. | Zbl | MR | Numdam

[15] N. Katz, On the calculation of some differential galois groups, Inv. Math. 87 (1987) 13-61. | Zbl | MR

[16] N. Katz, Gauss sums, Kloosterman sums, and monodromy groups, Annals of Math. Studies 116, Princeton Univ. Press (1988). | Zbl | MR

[17] N. Katz, Exponential sums and differential equations, Annals of Math. Studies 124, Princeton Univ. Press (1990). | Zbl | MR

[18] M. Larsen and R. Pink, On l-independence of algebraic monodromy groups in compatible systems of representations, preprint. | Zbl

[19] A. Ogus, F-isocrystals and De Rham cohomology II - Convergent isocrystals, Duke J. Math. 51 (1984) 765-850. | Zbl | MR

[20] N. Saavedra R., Categories Tannakiennes, Lecture Notes in Math. 265, Springer-Verlag (1972). | Zbl | MR

[21] J.-P. Serre, Abelian l-adic representations and elliptic curves, W. A. Benjamin (1968). | Zbl | MR

[22] S. Sperber, p-adic hypergeometric functions and their cohomology, Duke Math. J. 44 (1977) 535-589. | Zbl | MR

[23] S. Sperber, Congruence properties of the hyperkloosterman sum, Com. Math. 40 (1980) 3-33. | Zbl | MR | Numdam

[24] S. Sperber, Newton polygons for general hyperkloosterman sums, in Cohomologie p-adique, Astérisque 119-120 (1984) 267-330. | Zbl | MR | Numdam

[LIE] N. Bourbaki, Groupes et algèbres de Lie, Masson, Paris (1982). | Zbl

[SGA 41/2] P. Deligne et al., Cohomologie étale, Lecture Notes in Math. 569, Springer-Verlag (1977). | Zbl | MR