A maximal inequality for skew fields
β Scribed by Lester E. Dubins; Jim Pitman
- Publisher
- Springer
- Year
- 1980
- Tongue
- English
- Weight
- 431 KB
- Volume
- 52
- Category
- Article
- ISSN
- 1432-2064
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π SIMILAR VOLUMES
## Abstract Let __X~a,b~__ be nonnegative random variables with the property that __X~a,b~ β¦ X~a,c~ + X~c.b~__ for all 0__β¦ a < c < b β¦ T__, where __T >__ 0 is fixed. We define __M~a,b~ =__ sup {__X~a,c~: a < c β¦ h__} and establish bounds for __P__[__M~a,b~ β§ Ξ»__] in terms of given bounds for __P[X
The purpose of this article is to establish an analogue of the Davenport Halberstam Theorem and a Large Sieve Inequality for rational function fields F q (t). We then applied our inequality to deduce an analogue of the Brun Titchmarsch Theorem. We also obtain density zero result on the twin irreduci