REGULARIZATION OF GENERAL MULTIDIMENSIONAL EPSTEIN ZETA-FUNCTIONS

DOI10.1142/S0129055X89000055zbMath0711.11021OpenAlexW2020459239MaRDI QIDQ3495424

August Romeo, Emilio Elizalde

Publication date: 1989

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x89000055

zbMATH Keywords

analytic continuationinternal energyexplicit formulasHelmholtz free energyEpstein zeta functionstoroidal spaceCasimir energy densitytheta function regularization theoremzeta-function regularization of infinite series and integrals

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35)

Related Items (10)

Zeta function regularization technique in the electrostatics context for discrete charge distributions ⋮ Inhomogeneous multidimensional Epstein zeta functions ⋮ Generalized multidimensional Epstein zeta functions ⋮ Topological symmetry breaking in self-interacting theories on toroidal space–time ⋮ Three‐dimensional lattice ground states for Riesz and Lennard‐Jones–type energies ⋮ Calculation of the asymptotics of the two-point correlation function for one-dimensional Bose gas ⋮ Generation of off-critical zeros for hypercubic Epstein zeta functions ⋮ INVERSE AND SPONTANEOUS SUPERSYMMETRY BREAKING IN S¹ × R³ ⋮ Temperature inversion symmetry in gauge-Higgs unification models ⋮ On the zero-distribution of Epstein zeta-functions

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