منابع مشابه
Uniform Distribution of Hasse Invariants
I. Schur's study of simple algebras around the turn of the century, nd subsequent investigations by R. Brauer, E. Witt and others, were later reformulated in terms of what is now called the Schur subgroup of the Brauer group. During the last twenty years this group has generated substantial interest and numerous palatable results have ensued. Among these is the discovery that elements of the Sc...
متن کاملHasse Invariants for Hilbert Modular Varieties
Given a totally real field L of degree g, we construct g Hasse invariants on Hilbert modular varieties in characteristic p and characterize their divisors. We show that these divisors give the type stratification defined by the action of {~L o n the ap-elementary subgroup. Under certain conditions, involving special values of zeta functions, the product of these Hasse invariants is the reductio...
متن کاملHasse Invariants for the Clausen Elliptic Curves
Gauss’s 2F1 ( 1 2 1 2 1 | x ) hypergeometric function gives periods of elliptic curves in Legendre normal form. Certain truncations of this hypergeometric function give the Hasse invariants for these curves. Here we study another form, which we call the Clausen form, and we prove that certain truncations of 3F2 ( 1 2 1 2 1 2 1 1 | x ) and 2F1 ( 1 4 3 4 1 | x ) in Fp[x] are related to the charac...
متن کاملRecord Range of Uniform Distribution
We consider a sequence of independent and identicaly distributed (iid) random variables with absolutely continuous distribution function F(x) and probability density function (pdf) f(x). Let Rnl be the largest observation after observing nth record and R(ns) be the smallest observation after observing the nth record. Then we say Wnr = Rnl− R(ns), n > 1, as the nth record range. We will c...
متن کاملThe Uniform-Pareto Distribution and Eeponentiated Uniform-Pareto Distribution and Their Application in Income Data
In this paper, a new distribution is introduced, which is a generalization of a well-known distribution. This distribution is flexible and applies to income data modeling. We first provide some of the mathematical and distributional properties of this new model and then, to demonstrate the flexibility the new distribution, we will present the applications of this distribution with ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1985
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171285000114