Please help me in Python programming for math.

Question

Hello. I’m Duc Tran. My hobby is studying math and makig math programs. I want to make a program in Python that calculate Riemann zeta functions.
Below is the definition of Riemann zeta function:
https://wikimedia.org/api/rest_v1/media/math/render/svg/eb3dd62b1cd4528d76892f762ccb5b8b418cf0c6
Overall, Riemann zeta function of s is the sum of reciprocals of natural numbers to the s-th power.
So, what I want to make is a program that will give us the Riemann zeta function value of s after inputting s. For example,
INPUT: 2
OUTPUT: 1.644934066848...(depends on the number I round to, and for your information, it’s exactly pi^2/6)
I didn’t finish the Python course on Sololearn. I only learned about 75% of it. Summary of what I learned in Python: for loop, while loop, if/else, define functions, filter function, map function, lambda, functions for lists, generators, decorators, etc.
So, I learned to a part of “functional programming”, which includes lambda, map, filter, generators, etc.
Please help me. Thank you. 😊
THIS IS NOT FOR CHEATING NOR ASSIGNMENTS.

Answer 1

The Riemann Zeta function is basically the sum of all reciprocals of number raised to the power of the riemann zeta function parameter right?

Answer 2

If there is no change on value despite adding stuff, then break

Answer 3

Wikipedia has some formulae that you may want to check, just scroll down

Answer 4

Or you just run a while loop until the value apparently doesn't change, then there you go

Answer 5

Hello Pegasus. Yes, that's right.
So, for example, Riemann zeta function of 2 is basically the sum of reciprocals of squares.

Answer 6

Pegasus, I scrolled down but... what formulae do you mean??

Answer 7

Pegasus, what do you mean by running a while loop until the value apparently doesn't change? Like.... how to stop it? (I mean how to use "break"?)

Answer 8

hmm... so I think I’m going to try it like... “if” and then “break”. Thank you Pegasus. 😄