Irrational Linear Forms in Prime Variables |
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| Authors: | Scott T. Parsell |
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| Affiliation: | Department of Mathematics, The Pennsylvania State University, McAllister Building, University Park, Pennsylvania, 16802, f1parsell@alum.mit.eduf1 |
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| Abstract: | 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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| Keywords: | Goldbach-type theorems diophantine inequalities applications of the Hardy-Littlewood method. |
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