PUBLICATIONS MATHÉMATIQUES DE L'IHES

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On the zeta function of a hypersurface
Publications Mathématiques de l'IHÉS, Volume 12 (1962), pp. 5-68
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DOI: 10.1007/BF02684275 
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     author = {Bernard Dwork},
     title = {On the zeta function of a hypersurface},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {5--68},
     year = {1962},
     publisher = {Institut des Hautes \'Etudes Scientifiques},
     volume = {12},
     doi = {10.1007/BF02684275},
     zbl = {0173.48601},
     mrnumber = {159823},
     language = {en},
     url = {https://pmihes.centre-mersenne.org/articles/10.1007/BF02684275/}
}
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Bernard Dwork. On the zeta function of a hypersurface. Publications Mathématiques de l'IHÉS, Volume 12 (1962), pp. 5-68. doi: 10.1007/BF02684275

[1] B. Dwork, On the rationality of the zeta function of an algebraic variety, Amer. J. Math., vol. 82 (1960), pp. 631-648. | Zbl | MR

[2] J.-P. Serre, Rationalité des fonctions zêta des variétés algébriques, Séminaire Bourbaki, 1959-1960, n° 198. | Zbl | Numdam

[3] A. Weil, Numbers of solutions of equations in finite fields, Bull. Amer. Math. Soc., vol. 55 (1949), pp. 497-508. | Zbl | MR

[4] E. Artin, Algebraic numbers and algebraic functions, Princeton University, New York University, 1950-1951 (Mimeographed notes). | Zbl

[5] W. Gröbner, Moderne Algebraische Geometrie, Wien, Springer, 1949. | Zbl

[6] B. Dwork, On the congruence properties of the zeta function of algebraic varieties, J. Reine angew. Math., vol. 23 (1960), pp. 130-142. | Zbl | MR

[7] S. Lang, Introduction to algebraic geometry, Interscience Tracts, n° 5, New York, 1958. | Zbl | MR

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