Multiple zeta functions with arbitrary exponents

DOI10.1088/0305-4470/22/8/010zbMath0699.10061OpenAlexW2098286262MaRDI QIDQ3476898

Emilio Elizalde

Publication date: 1989

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

Full work available at URL: https://semanticscholar.org/paper/5074924b8accb362d13300bb7e7397fa7f6c1043

zbMATH Keywords

Mellin transformsexplicit formulaemultiple-sum zeta functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35)

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Inhomogeneous multidimensional Epstein zeta functions ⋮ ZETA FUNCTION REGULARIZATION IN CASIMIR EFFECT CALCULATIONS AND J. S. DOWKER's CONTRIBUTION ⋮ Generalized multidimensional Epstein zeta functions ⋮ Topological symmetry breaking in self-interacting theories on toroidal space–time ⋮ Casimir densities for a spherical brane in Rindler-like spacetimes ⋮ Casimir energies due to matter fields in \(T^2\) and \(T^2/Z_2\) compactifications ⋮ The number of eigenstates: counting function and heat kernel ⋮ An approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions ⋮ Generation of off-critical zeros for hypercubic Epstein zeta functions ⋮ Zeta functions: formulas and applications ⋮ Singularities of the Casimir energy for quantum field theories with Lifshitz dimensions ⋮ A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards ⋮ Relation between primes and nontrivial zeros in the Riemann hypothesis; Legendre polynomials, modified zeta function and Schrödinger equation

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