Exponential sums and Newton polyhedra
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- by Alan Adolphson and Steven Sperber PDF
- Bull. Amer. Math. Soc. 16 (1987), 282-286
References
-
1. M. Carpentier, p-Adic cohomology of generalized hyperkloosterman sums, Doctoral thesis, University of Minnesota (August, 1985).
- Pierre Deligne, La conjecture de Weil. I, Inst. Hautes Études Sci. Publ. Math. 43 (1974), 273–307 (French). MR 340258, DOI 10.1007/BF02684373
- Pierre Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. 52 (1980), 137–252 (French). MR 601520, DOI 10.1007/BF02684780
- Bernard Dwork, On the zeta function of a hypersurface, Inst. Hautes Études Sci. Publ. Math. 12 (1962), 5–68. MR 159823, DOI 10.1007/BF02684275
- Bernard Dwork, On the zeta function of a hypersurface. II, Ann. of Math. (2) 80 (1964), 227–299. MR 188215, DOI 10.2307/1970392
- A. G. Kouchnirenko, Polyèdres de Newton et nombres de Milnor, Invent. Math. 32 (1976), no. 1, 1–31 (French). MR 419433, DOI 10.1007/BF01389769
- Alan Adolphson and Steven Sperber, Newton polyhedra and the degree of the $L$-function associated to an exponential sum, Invent. Math. 88 (1987), no. 3, 555–569. MR 884800, DOI 10.1007/BF01391831
- Alan Adolphson and Steven Sperber, $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning, Ann. Sci. École Norm. Sup. (4) 20 (1987), no. 4, 545–556. MR 932797, DOI 10.24033/asens.1543
Additional Information
- Journal: Bull. Amer. Math. Soc. 16 (1987), 282-286
- MSC (1985): Primary 11L40; Secondary 14F20, 14F30
- DOI: https://doi.org/10.1090/S0273-0979-1987-15518-2
- MathSciNet review: 876965