On the zeta-function regularization of a two-dimensional series of Epstein–Hurwitz type

DOI10.1063/1.528856zbMath0753.11031OpenAlexW2110992120MaRDI QIDQ4712410

Emilio Elizalde

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.528856

zbMATH Keywords

Hurwitz zeta-functionzeta-function regularizationmodified Bessel functionheat kernelsEpstein seriesseries evaluationszeta-function seriestwo-dimensional \(E\)-functions

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantum field theory on curved space or space-time backgrounds (81T20) Other Dirichlet series and zeta functions (11M41)

Related Items (4)

Casimir energy for de Sitter branes in bulk AdS\(_5\) ⋮ Zeta functions: formulas and applications ⋮ An algebraic description of screw dislocations in SC and BCC crystal lattices ⋮ Effective potential and KK-renormalization scheme in a 5D supersymmetric theory

Cites Work

• Multiple harmonic oscillator zeta functions
• One-loop Feynman diagram zeta functions for toroidal spacetime

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