We apply a recent refinement of the Hardy-Littlewood method to obtain an asymptotic lower bound for the number of solutions of a linear diophantine inequality in three prime variables. Using the same ideas, we are able to show that a linear form in two primes closely approximates almost all real num
HOMOGENEOUS FORMS IN TWO ORDINAL VARIABLES
โ Scribed by John L. Hickman
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 294 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
โฆ Synopsis
HONOGENEOUS FORMS IN TWO ORDINAL VARIABLES by JOHN L. HICRMaN in Canberra, A.C.T. (Australia)')
We are interested in the number of ordinal solutions to the general equation F = a, where F is the two-variable form z(z'y"r,,; r + s = t ) with x , y ordinal variables, a an infinite ordinal constant, t and the c ~, ~ ordinal constants, and r , s variables satisfying the given restriction. The case t = 1 is trivial, and so we assume throughout that t > 1. I n the first part of this paper we shall study
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