Congruence properties of the hyperkloosterman sum

S. Sperber

Compositio Mathematica (1980)

  • Volume: 40, Issue: 1, page 3-33
  • ISSN: 0010-437X

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Sperber, S.. "Congruence properties of the hyperkloosterman sum." Compositio Mathematica 40.1 (1980): 3-33. <http://eudml.org/doc/89426>.

@article{Sperber1980,
author = {Sperber, S.},
journal = {Compositio Mathematica},
keywords = {n-variable Kloosterman exponential sum; functional equation of L- function; Newton polygon},
language = {eng},
number = {1},
pages = {3-33},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Congruence properties of the hyperkloosterman sum},
url = {http://eudml.org/doc/89426},
volume = {40},
year = {1980},
}

TY - JOUR
AU - Sperber, S.
TI - Congruence properties of the hyperkloosterman sum
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 40
IS - 1
SP - 3
EP - 33
LA - eng
KW - n-variable Kloosterman exponential sum; functional equation of L- function; Newton polygon
UR - http://eudml.org/doc/89426
ER -

References

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  1. [1] P. Deligne: La Conjecture de Weil, I. Publ. Math. I.H.E.S., 43, (1973) 273-308. Zbl0287.14001MR340258
  2. [2] P. Deligne: Applications de la Formule des Traces aux Sommes Trigonométriques. SGA 41/2 Springer Lectures Notes569 (1977) Berlin. Zbl0349.10031
  3. [3] B. Dwork: On the Zeta Function of a Hypersurface. Publ. Math. I.H.E.S., 12 (1962) 5-68. Zbl0173.48601MR159823
  4. [4] B. Dwork: p-Adic Cycles. Publ. Math. I.H.E.S., 37 (1969) 27-115. Zbl0284.14008MR294346
  5. [5] B. Dwork: Normalized Period Matrices I. Ann. of Math., 94 (1971) 337-388. Zbl0241.14011MR396579
  6. [6] B. Dwork: Normalized Period Matrices II. Ann. of Math., 98 (1973) 1-57. Zbl0265.14008MR396580
  7. [7] B. Dwork: Bessel Functions as p-adic Functions of the Argument. Duke Math. J., 41 (1974) 711-738. Zbl0302.14008MR387281
  8. [8] A. Erdelyi: Integraldarstellungen Hypergeometrisches Funktionen. Quart. J. of Math., 8 (1937) 267-277. Zbl0018.01903JFM63.0320.03
  9. [9] N. Katz: On the Differential Equations Satisfied by Period Matrices. Publ. Math. I.H.E.S., 35 (1968) 223-258. Zbl0159.22502MR242841
  10. [10] YU. Manin: Theory of Commutative Formal Groups over Fields of Finite Characteristic. Russian Math. Survey, 18 (1963) 1-83. Zbl0128.15603MR157972
  11. [11] S. Sperber: p-Adic Hypergeometric Functions and Their Cohomology I. Duke Math. Journal, 44 (1977) 535-589. Zbl0408.12025MR476750
  12. [12] A. Weil: On Some Exponential Sums. Proc. N.A.S., 31 (1948) 204-207. Zbl0032.26102MR27006

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