Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:definedIn |
Positive-definite quadratic forms
|
| gptkbp:field |
gptkb:Mathematics
gptkb:Number_theory gptkb:Analytic_number_theory |
| gptkbp:generalizes |
gptkb:Dedekind_zeta_function
gptkb:Riemann_zeta_function |
| gptkbp:hasEquation |
Yes
|
| gptkbp:hasPoleAt |
s = n/2 (n = dimension of Q)
|
| gptkbp:hasSpecialCase |
gptkb:Dedekind_zeta_function
gptkb:Riemann_zeta_function gptkb:Hurwitz_zeta_function |
| gptkbp:heldBy |
gptkb:lion
|
| https://www.w3.org/2000/01/rdf-schema#label |
Epstein zeta function
|
| gptkbp:introducedIn |
1903
|
| gptkbp:isMeromorphic |
Yes
|
| gptkbp:namedAfter |
gptkb:Paul_Epstein
|
| gptkbp:parameter |
Quadratic form Q
|
| gptkbp:referencedIn |
Paul Epstein, "Zur Theorie allgemeiner Zetafunktionen," Math. Ann. 56 (1903), 615–644.
Encyclopedia of Mathematics entry on Epstein zeta function |
| gptkbp:usedIn |
gptkb:Automorphic_forms
Spectral theory Lattice point problems |
| gptkbp:variant |
s
|
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|