On the zeta function of a hypersurface

Bernard Dwork

Publications Mathématiques de l'IHÉS (1962)

  • Volume: 12, page 5-68
  • ISSN: 0073-8301

How to cite


Dwork, Bernard. "On the zeta function of a hypersurface." Publications Mathématiques de l'IHÉS 12 (1962): 5-68. <http://eudml.org/doc/103828>.

author = {Dwork, Bernard},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {algebraic geometry},
language = {eng},
pages = {5-68},
publisher = {Institut des Hautes Études Scientifiques},
title = {On the zeta function of a hypersurface},
url = {http://eudml.org/doc/103828},
volume = {12},
year = {1962},

AU - Dwork, Bernard
TI - On the zeta function of a hypersurface
JO - Publications Mathématiques de l'IHÉS
PY - 1962
PB - Institut des Hautes Études Scientifiques
VL - 12
SP - 5
EP - 68
LA - eng
KW - algebraic geometry
UR - http://eudml.org/doc/103828
ER -


  1. [1] B. DWORK, On the rationality of the zeta function of an algebraic variety, Amer. J. Math., vol. 82 (1960), pp. 631-648. Zbl0173.48501MR25 #3914
  2. [2] J.-P. SERRE, Rationalité des fonctions zêta des variétés algébriques, Séminaire Bourbaki, 1959-1960, n° 198. Zbl0119.36805
  3. [3] A. WEIL, Numbers of solutions of equations in finite fields, Bull. Amer. Math. Soc., vol. 55 (1949), pp. 497-508. Zbl0032.39402MR10,592e
  4. [4] E. ARTIN, Algebraic numbers and algebraic functions, Princeton University, New York University, 1950-1951 (Mimeographed notes). Zbl0054.02101
  5. [5] W. GRÖBNER, Moderne Algebraische Geometrie, Wien, Springer, 1949. Zbl0033.12706
  6. [6] B. DWORK, On the congruence properties of the zeta function of algebraic varieties, J. Reine angew. Math., vol. 23 (1960), pp. 130-142. Zbl0119.36804MR25 #3913
  7. [7] S. LANG, Introduction to algebraic geometry, Interscience Tracts, n° 5, New York, 1958. Zbl0095.15301MR20 #7021

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  3. E. Bombieri, H. P. F. Swinnerton-Dyer, On the local zeta function of a cubic threefold
  4. Charles Pisot, Familles normales de fractions rationnelles et ensembles fermés de nombres algébriques
  5. Nicholas M. Katz, On the differential equations satisfied by period matrices
  6. Alan Adolphson, Higher solutions of hypergeometric systems and Dwork cohomology
  7. Fernando Q. Gouvêa, Barry Mazur, On the characteristic power series of the U operator
  8. Francesco Baldassarri, Una funzione intera p -adica a valori interi
  9. Jean Fresnel, Les fonctions p -adiques L de Dirichlet
  10. Bernard Dwork, p -adic cycles

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