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Cited by 46

The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.

Inhomogeneous multidimensional Epstein zeta functions

Kirsten, Klaus·1991·Journal of Mathematical Physics
DOI 10.1063/1.529045
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Abstract

The pole structure of the inhomogeneous multidimensional Epstein zeta function, Em2N(s; a1,...,aN)=∑∞n1,...,nN =1 (a1n21+⋅⋅⋅+aNn2N +m2)−s, is determined using heat-kernel techniques. The poles of Em2N(s; a1,...,aN) are found to be s=N/2; (N−1)/2;...; (1)/(2) ; −(2l+1)/2, l∈ 𝒩0. Furthermore, their residues and Em2N(−p; a1,...,aN), p∈ 𝒩0, are given explicitly. These results are used to find the high-temperature expansion of the Helmholtz free-energy of a massive spin-0 and spin- (1)/(2) gas subject to Dirichlet boundary conditions on hypercuboids in a flat n-dimensional space-time.

Overview

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Crossref · 10.1063/1.529045

Cites

29 of 29 references verified0 citation errors · 0 not checkable

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Citations

Cites

Research works printed but not linked: 3

  1. 1987, Fortschr. Phys., 35, 12
  2. 1953, Indian Math. Soc., 17, 158
  3. 1988, Phys. Rev. D, 38, 3327

Cited by

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Metadata

Authors
Kirsten, K.
Venue
Journal of Mathematical Physics
Publisher
AIP Publishing
Published
1991-11-01
Volume
32
Issue
11
Pages
3008-3014
ISSN
  • 0022-2488
  • 1089-7658
DOI
10.1063/1.529045
Cited by
46
References
29
Language
en

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Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.