Known Special Values
ζ(2) π²/6 ≈ 1.6449340668
ζ(4) π⁴/90 ≈ 1.0823232337
ζ(-1) -1/12 ≈ -0.0833333333
ζ(0) -1/2 = -0.5
ζ(3) ≈ 1.2020569031
ζ(6) π⁶/945 ≈ 1.0173430620
Cách sử dụng
Enter a real value s to calculate ζ(s).
- Numerical ζ(s) computation
- Direct calculation for s > 1
- Functional equation for s < 1
- Known special values
Trường hợp sử dụng
- Number theory research
- Prime distribution analysis
- Physics (quantum mechanics)
- Math learning