Mathematische Annalen

January 2004, Volume 328, Issue 1–2, pp 193–228 | Cite as

Moment L-functions, partial L-functions and partial exponential sums

• Authors
• Authors and affiliations

• Lei Fu
• Daqing WanEmail author

Article

First Online: 01 October 2003

Received: 26 May 2003

• 90 Downloads
• 3 Citations

This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

References

1. 1.
   Brock, B.W., Granville, A.: More points than expected on curves over finite field extensions. Finite Fields & Appl. 7, 70–91 (2001)Google Scholar
2. 2.
   Deligne, P.: La conjecture de Weil II. Publ. Math. IHES 52, 137–252 (1980)MathSciNetMATHGoogle Scholar
3. 3.
   Fu, L., Wan, D.: Total degree bounds for Artin L-functions and partial zeta functions. Math. Res. Letters 10, 33–41 (2003)MATHGoogle Scholar
4. 4.
   Hartshorne, R.: Algebraic Geometry. Springer-Verlag, 1977Google Scholar
5. 5.
   Katz, N.: Sum of Betti numbers in arbitrary characteristic. Finite Fields & Appl. 7, 29–44 (2001)Google Scholar
6. 6.
   Katz, N.: Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess, Finite Fields & Appl. 7, 45–69 (2001)Google Scholar
7. 7.
   Katz, N., Sarnak, P.: Random Matrices, Frobenius Eigenvalues and Monodromy. American Mathematical Society, Providence, 1999Google Scholar
8. 8.
   Wan, D.: Generators and irreducible polynomials over finite fields. Math. Comp. 66, 1195–1192 (1997)CrossRefMathSciNetMATHGoogle Scholar
9. 9.
   Wan, D.: Dwork’s conjecture on unit root zeta functions. Ann. Math. 150, 867–927 (1999)MathSciNetMATHGoogle Scholar
10. 10.
    Wan, D.: Higher rank case of Dwork’s conjecture. J. Amer. Math. Soc. 13, 807–852 (2000)CrossRefMathSciNetMATHGoogle Scholar
11. 11.
    Wan, D.: Rank one case of Dwork’s conjecture. J. Amer. Math. Soc. 13, 853–908 (2000)CrossRefMathSciNetMATHGoogle Scholar
12. 12.
    Wan, D.: Partial zeta functions of algebraic varieties over finite fields. Finite Fields & Appl. 7, 238–251 (2001)Google Scholar
13. 13.
    Wan, D.: Rationality of partial zeta functions. Indagationes Mathematicae, to appearGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

• Lei Fu
  • 1
• Daqing Wan
  • 2
  Email author

1. 1.Institute of MathematicsNankai UniversityTianjinChina
2. 2.Institute of MathematicsChinese Academy of Sciences Beijing P.R China Department of Mathematics, University of California,IrvineUSA