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Diophantine approximation by cubes of primes and an almost prime
by
Anguel Koumtchev
University of South Carolina
Coauthors: Jörg Brüdern (University of Stuttgart)
Let a1, ..., a4 be non-zero with a1/a2 irrational and negative, and let S be the set of values attained by the form a1x13+ ... +a4x43 when x1 has at most 3 prime divisors and the remaining variables are prime. We prove that most real numbers are close to an element of S.
Date received: March 13, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadx-91.