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Irrational Linear Forms in Prime Variables

✍ Scribed by Scott T. Parsell

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
135 KB
Volume
97
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 numbers lying in a suitably discrete set.

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