soggybanana
New member
- Joined
- Jul 29, 2020
- Messages
- 1
I don't understand in this notation of the Prime Number Theorem what is f(x) or g(x) for their little o notation:
"The Prime Number Theorem states the number of primes at most x is Li(x) + o(Li(x)) where Li(x) is integral from 2 to x dt/logt and the notation f(x) = og(x) means lim x-> infinity f(x)/g(x) = 0."
I understand that they are using the offset logarithmic integral notation with Li(x) but I am confused of the little o notation with what is f(x) or g(x). If Li(x) is then f(x) what is what is g(x)? I think I am missing something very simple probably.
"The Prime Number Theorem states the number of primes at most x is Li(x) + o(Li(x)) where Li(x) is integral from 2 to x dt/logt and the notation f(x) = og(x) means lim x-> infinity f(x)/g(x) = 0."
I understand that they are using the offset logarithmic integral notation with Li(x) but I am confused of the little o notation with what is f(x) or g(x). If Li(x) is then f(x) what is what is g(x)? I think I am missing something very simple probably.