Epstein zeta function

URI: https://gptkb.org/entity/Epstein_zeta_function
GPTKB entity
Statements (28)
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
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:Paul_Epstein
gptkb:Paul_Sophus_Epstein
gptkb:Joan_Epstein
gptkbp:bfsLayer 7
https://www.w3.org/2000/01/rdf-schema#label Epstein zeta function