I want to ask about references to papers, that probably exist, which explain the articles of Bernard Dwork starting from "The rationality of the zeta function of an algebraic variety" to "On the Boyarsky principle".

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    $\begingroup$ I'm not clear on what you're asking. You want papers that refer to Dwork's work? That expound upon Dwork's work? What does "probable existing" mean here? $\endgroup$ – Todd Trimble Mar 27 '15 at 12:11
  • $\begingroup$ in reality,for the present moment I am studying a number of Dwork papers and I find several difficulties to to assimilate them, except the one about the rationality of the zeta function (1960) thanks to the explication of neal Koblitz, and in order to understand the oters I hope that exist papers which explicate them like that of Neal Koblitz $\endgroup$ – moksih Mar 27 '15 at 12:19
  • $\begingroup$ Have you tried googling "the work of Bernard Dwork ?" . Google is a really good tool for questions like yours. $\endgroup$ – aginensky Mar 27 '15 at 14:02
  • $\begingroup$ yes aginensky, but I didn't succeed to have an easy explanation, I tried many times to read his papers(those since 1962 to 1980), but I could'nt understand them $\endgroup$ – moksih Mar 27 '15 at 16:24
  • $\begingroup$ Certainly check out Koblitz's book (if you haven't already) entitled, "p-adic Numbers, p-adic Analysis, and Zeta-Functions" as mentioned here... $\endgroup$ – Benjamin Dickman Mar 28 '15 at 5:30

MR0498577 (58 #16672) Reviewed Katz, Nicholas Travaux de Dwork. (French. English summary) Séminaire Bourbaki, 24ème année (1971/1972), Exp. No. 409, pp. 167–200. Lecture Notes in Math., Vol. 317, Springer, Berlin, 1973.

And also:

Katz, Nicholas M.(1-PRIN); Tate, John(1-TX) Bernard Dwork (1923–1998). Notices Amer. Math. Soc. 46 (1999), no. 3, 338–343. 0


You could start with the book by Dwork, Gerotto and Sullivan, "An introduction to G-functions", published by Princeton University Press in the collection Annals of math studies. It contains a full account of the rationality of the zeta function, and the beginnings of the study of p-adic differential equations.


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