The number of factorizations of numbers less than $x$ into factors less than $y$
نویسندگان
چکیده
منابع مشابه
ON THE NUMBER OF PRIMES LESS THAN OR EQUAL x
(3) Z I"—1 log p = x log x + 0{x). r-ix\-pJ Since [x/^>]= [[#]/£], it is clear that (3) then holds for all real x>0. We propose to show in this note that the order of w(x) =the number of primes less than or equal x (a result originally due to Tschebyschef, cf. [l]) may be derived very quickly from (3) as a consequence of a general theorem which has no particular relationship to prime numbers. T...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1983
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1983-0682714-6