Primitive sets with large counting functions
... Via a change of variables, we obtain (2). Another question one might consider is what conditions on the distribution of a set A of natural numbers forces A to have a large primitive subset. It is not too difficult to see that if an infinite set A contains no primitive subset of size k, then A(x) k ...
... Via a change of variables, we obtain (2). Another question one might consider is what conditions on the distribution of a set A of natural numbers forces A to have a large primitive subset. It is not too difficult to see that if an infinite set A contains no primitive subset of size k, then A(x) k ...
Algorithmic Number Theory
... Theorem 2.4 The division algorithm Given any two integers a, b > 0, there exist unique integers q, r with 0 ≤ r < b, such that a = bq + r = b(q + 1) − (b − r) and min(r, b − r) ≤ 2b . q is the quotient and r the remainder obtained by dividing b into a. Notation. We use the notation adivb and amodb t ...
... Theorem 2.4 The division algorithm Given any two integers a, b > 0, there exist unique integers q, r with 0 ≤ r < b, such that a = bq + r = b(q + 1) − (b − r) and min(r, b − r) ≤ 2b . q is the quotient and r the remainder obtained by dividing b into a. Notation. We use the notation adivb and amodb t ...
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