Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 117 / 1 / a

Table of contents
- Solution a

Solution

For a positive integer

d

∣ A_{d} ∣ = \sum_{n \geq 1 d ∣ n} a_{n} .

A

has sieve distribution

(X, P_{z}, g, (r_{d}))

when

g

is a multiplicative arithmetic function on the squarefree divisors of

P_{z}

, with

0 \leq g (p) < 1

, and

∣ A_{d} ∣ = X g (d) + r_{d}

for every

d ∣ P_{z}

g (d)

models the local density of divisibility by

d

, while

r_{d}

is the remainder.

 Ancestors (10)

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version