An inequality for a sum of quadratic forms with applications to probability theory
β Scribed by T.W. Anderson; John B. Taylor
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 408 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let Q 1 , Q 2 # Z[X, Y, Z] be two ternary quadratic forms and u 1 , u 2 # Z. In this paper we consider the problem of solving the system of equations (1) Q 2 (x, y, z)=u 2 in x, y, z # Z with gcd(x, y, z)=1. According to Mordell [12] the coprime solutions of can be presented by finitely many expr
## Abstract Let 1 β€ __p__ < β and let __T__ be an ergodic measureβpreserving transformation of the finite measure space (__X__, __ΞΌ__). The classical __L^p^__ ergodic theorem of von Neumann asserts that for any __f__ Ο΅ __L^p^__ (__X__, __ΞΌ__), equation image When __X__ = π^__n__^ (the unit spher