WebMar 21, 2010 · Dwork's use of p-adic analysis in algebraic geometry. Using p-adic analysis, Dwork was the first to prove the rationality of the zeta function of a variety over a finite … Bernard Morris Dwork (May 27, 1923 – May 9, 1998) was an American mathematician, known for his application of p-adic analysis to local zeta functions, and in particular for a proof of the first part of the Weil conjectures: the rationality of the zeta-function of a variety over a finite field. The general theme of Dwork's research was p-adic cohomology and p-adic differential equations. He published two papers under the pseudonym Maurizio Boyarsky.

Automorphic forms for triangle groups: Integrality properties

WebDWork vectors are the most generalized and versatile type of work vector and the following sections focus on their use. The Simulink product provides additional elementary types of … Web2 days ago · Change the “one man, one vote” system, or change our founding documents to the current reality: “$60 million, one senator.” If Clarence Thomas and Harlan Crow are dear friends, I am happy ... how does a chain of command work

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WebKloosterman sums [17]. Dwork’s unit root conjecture [8] is the following: Conjecture(Dwork). For every integer k, the unit root zeta function L(U⊗k n,T) is p-adic meromorphic. For a … WebThere are essentially two different constructions of Weil cohomology: étale cohomology, which is modeled on the interpretion of fundamental groups in terms of covering spaces; and rigid cohomology, which is modeled on the cohomology of differential forms … Web%0 Journal Article %A Dwork, Bernard %T $p$-adic cycles %J Publications Mathématiques de l'IHÉS %D 1969 %P 27-115 %V 37 %I Institut des Hautes Études Scientifiques ... phonotactics rules