User:Finitezeta/sandbox
In the field of mathematics, the Dwork unit root zeta function, named after Bernard Dwork, is the L-function attached to the p-adic Galois representation arising from the p-adic etale cohomology of an algebraic variety defined over a global function field of characteristic p. The Dwork conjecture (1973) [1] states that his unit root zeta function is p-adic meromorphic everywhere. This conjecture was proved by Wan (2000)[2] [3] [4].
References.
[edit]- ^ Dwork, Bernard (1973), "Normalized period matrices II", Annals of Mathematics, 98 (2): 1–57
{{citation}}: Cite has empty unknown parameter:|1=(help). - ^ Wan, Daqing (1999), "Dwork's conjecture on his zeta functions", Annals of Mathematics, 150 (3): 867–927, arXiv:math/9911270, doi:10.2307/121058.
- ^ Wan, Daqing (2000), "Higher rank case of Dwork's conjecture", Journal of American Mathematical Society, 13 (4): 807–852
{{citation}}: Cite has empty unknown parameter:|1=(help). - ^ Wan, Daqing (2000), "Rank one case of Dwork's conjecture", Journal of American Mathematical Society, 13 (4): 853–908
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