Suppose that we’re given the function , find the ordinary generating function associated with it in the form of . Furthermore, find/compute .
Posts Tagged ‘ number theory ’
Suppose you have integers a,b that are relatively prime to m such that
Let , where k is an integer. Prove that for any positive integer n the number
is divisible by .
Let . Show that for any positive integers there exists unique numbers such that the polynomial is divisible by p(x)
Let a be an odd integer. Prove that and are relatively prime for all distinct positive integers n and m.
Show that there are infinitely many primes of the form
4k - 1.
Suppose we define the function as the sum of the divisors of n
Express in terms of ‘s prime factorization