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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Exponential sums and Newton polyhedra


Authors: Alan Adolphson and Steven Sperber
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
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References [Enhancements On Off] (What's this?)

  • 1. M. Carpentier, p-Adic cohomology of generalized hyperkloosterman sums, Doctoral thesis, University of Minnesota (August, 1985).
  • 2. P. Deligne, La conjecture de Weil. I, Publ Math. I.H.E.S. 43 (1974), 273-307. MR 340258
  • 3. P. Deligne, La conjecture de Weil. II, Publ. Math. I.H.E.S. 52 (1980), 137-252. MR 601520
  • 4. B. Dwork, On the zeta function of a hypersurface, Publ. Math. I.H.E.S. 12 (1962), 5-68. MR 159823
  • 5. B. Dwork, On the zeta function of a hypersurface. II, Ann. of Math. 80 (1964), 227-299. MR 188215
  • 6. A. G. Kouchnirenko, Polyèdres de Newton et nombres de Milnor, Invent. Math. 32 (1976), 1-31. MR 419433
  • 7. S. Sperber and A. Adolphson, Newton polyhedra and the degree of the L-function associated to an exponential sum, Invent. Math. (to appear). MR 884800
  • 8. S. Sperber and A. Adolphson, p-Adic estimates for exponential sums and the theorem of Chevalley- Warning, Ann. Sci. École Norm. Sup. (to appear). MR 932797

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DOI: https://doi.org/10.1090/S0273-0979-1987-15518-2

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