Additive problems involving squares, cubes and almost primes
نویسندگان
چکیده
منابع مشابه
Diophantine Approximation by Cubes of Primes and an Almost Prime
Let λ1, . . . , λs be non-zero with λ1/λ2 irrational and let S be the set of values attained by the form λ1x 3 1 + · · ·+ λsxs when x1 has at most 6 prime divisors and the remaining variables are prime. In the case s = 4, we establish that most real numbers are “close” to an element of S. We then prove that if s = 8, S is dense on the real line.
متن کاملDiophantine Approximation by Cubes of Primes and an Almost Prime II
Let λ1, . . . , λ4 be non-zero with λ1/λ2 irrational and negative, and let S be the set of values attained by the form λ1x 3 1 + · · · + λ4x4 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.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1972
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-21-1-413-422