zetaRelation
P70734
predicate
Indicates a specialized, context-dependent association between entities whose exact nature is defined by the specific system or theory using the term "zetaRelation".
Observed surface forms (2)
| Surface form | Occurrences |
|---|---|
| DirichletSeries | 3 |
| relationToZeta | 1 |
Sample triples (6)
| Subject | Object |
|---|---|
| Bernoulli numbers | \zeta(1-n) = -B_n/n for n \ge 1 ⓘ |
| Jordan’s totient functions | ∑_{n≥1} J_k(n) n^{-s} = ζ(s-k)/ζ(s) via predicate surface "DirichletSeries" ⓘ |
| Dirichlet eta function | η(s) = (1 - 2^{1-s}) ζ(s) via predicate surface "relationToZeta" ⓘ |
| Bernoulli polynomials | ζ(-n,x) = - B_{n+1}(x)/(n+1) ⓘ |
| Liouville function | ∑_{n=1}^{∞} λ(n)n^{-s} = ζ(2s) / ζ(s) for Re(s) > 1 via predicate surface "DirichletSeries" ⓘ |
| Möbius function | ∑_{n≥1} μ(n)n^{-s} = 1/ζ(s) for Re(s) > 1 via predicate surface "DirichletSeries" ⓘ |