نتایج جستجو برای: probabilistic zeta function

تعداد نتایج: 1280564  

Journal: :Journal of the Australian Mathematical Society 2012

Journal: :Nagoya Mathematical Journal 1971

Journal: :International Electronic Journal of Algebra 2016

Journal: :Proceedings of the Japan Academy, Series A, Mathematical Sciences 1995

Journal: :Journal of Mathematical Analysis and Applications 2017

Journal: :Integral Transforms and Special Functions 2020

Journal: :Advances in Applied Mathematics 2013

2009
GUNTHER CORNELISSEN ARISTIDES KONTOGEORGIS

A theorem of Tate and Turner says that global function fields have the same zeta function if and only if the Jacobians of the corresponding curves are isogenous. In this note, we investigate what happens if we replace the usual (characteristic zero) zeta function by the positive characteristic zeta function introduced by Goss. We prove that for function fields whose characteristic exceeds their...

1999
KENNETH S. BROWN

For a finite group G and a non-negative integer s, let P(G,s) be the probability that a randomly chosen s-tuple generates G. Philip Hall gave an explicit formula for P(G,s), exhibiting the latter as a finite Dirichlet series. One can therefore speak of P(G,s) for an arbitrary complex number s. The reciprocal of this function of s is called the zeta function of G. The present work arose from an ...

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