Keywords
- Nonnegative Integer
- Nonnegative Real Number
- Laurent Polynomial
- Newton Polygon
- Newton Polyhedron
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
A. Adolphson and S. Sperber: Twisted Kloosterman sums and p-adic Bessel functions, II: Newton polygons and analytic continuation. Amer. J. Math. 109, 723–764 (1987)
A. Adolphson and S. Sperber: Newton polyhedra and the degree of the L-function associated to an exponential sum. Invent. Math. 88, 555–569 (1987)
A. Adolphson and S. Sperber: p-Adic estimates for exponential sums and the theorem of Chevalley-Warning. Ann. Scient. E. N. S. 20, 545–556 (1987)
A. Adolphson and S. Sperber: Exponential sums and Newton polyhedra: Cohomology and estimates. Ann. of Math. 130, 367–406 (1989)
A. Adolphson and S. Sperber: On twisted exponential sums (preprint)
J. Ax: Zeroes of polynomials over finite fields. Amer. J. Math. 86, 255–261 (1964)
M. Carpentier: Sommes exponentielles dont la géométrie est tres belle: p-adic estimates. Pac. J. Math. 141, 229–277 (1990)
B. Dwork: On the zeta function of a hypersurface, II. Ann. of Math. 80, 227–299 (1964)
N. Katz: On a theorem of Ax. Amer. J. Math. 93, 485–499 (1971)
A. G. Kouchnirenko: Polyèdres de Newton et nombres de Milnor. Invent. Math. 32, 1–31 (1976)
S. Sperber: On the p-adic theory of exponential sums. Amer. J. Math. 108, 255–296 (1986)
D. Wan: An elementary proof of a theorem of Katz. Amer. J. Math. 111, 1–8 (1989)
E. Warning: Bemerkung zur vorstehenden Arbeit von Herr Chevalley. Abh. Math. Sem. Univ. Hamburg 11, 76–83 (1936)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this chapter
Cite this chapter
Adolphson, A., Sperber, S. (1990). p-Adic estimates for exponential sums. In: Baldassarri, F., Bosch, S., Dwork, B. (eds) p-adic Analysis. Lecture Notes in Mathematics, vol 1454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091132
Download citation
DOI: https://doi.org/10.1007/BFb0091132
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53477-8
Online ISBN: 978-3-540-46906-3
eBook Packages: Springer Book Archive
