Basic zeta functions and some applications in physics

zbMath1234.11120arXiv1005.2389MaRDI QIDQ3078286

Klaus Kirsten

Publication date: 18 February 2011

Full work available at URL: https://arxiv.org/abs/1005.2389

zbMATH Keywords

Hurwitz zeta functionBose-Einstein condensationCasimir effectspectral zeta functionEpstein zeta functionBarnes zeta function

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quantum equilibrium statistical mechanics (general) (82B10) Other Dirichlet series and zeta functions (11M41) Miscellaneous applications of number theory (11Z05) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Determinants and determinant bundles, analytic torsion (58J52) Casimir effect in quantum field theory (81T55)

Related Items (9)

SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS ⋮ The thermodynamic limit of an ideal Bose gas by asymptotic expansions and spectral ζ-functions ⋮ Zeta function regularization technique in the electrostatics context for discrete charge distributions ⋮ Existence of a meromorphic extension of spectral zeta functions on fractals ⋮ Casimir effect in \(2+1\) Hořava gravity ⋮ The Casimir effect for pistons with transmittal boundary conditions ⋮ Further insights into the mysteries of the values of zeta functions at integers ⋮ Renewal sequences and record chains related to multiple zeta sums ⋮ Some new results for the one-loop mass correction to the compactified λϕ4 theory

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