{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T15:31:04Z","timestamp":1760369464807,"version":"3.37.3"},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[2018,5,10]],"date-time":"2018-05-10T00:00:00Z","timestamp":1525910400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["PTDC\/MAT-CAL\/4334\/2014"],"award-info":[{"award-number":["PTDC\/MAT-CAL\/4334\/2014"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Math. Ann."],"published-print":{"date-parts":[[2018,12]]},"DOI":"10.1007\/s00208-018-1692-x","type":"journal-article","created":{"date-parts":[[2018,5,10]],"date-time":"2018-05-10T11:49:54Z","timestamp":1525952994000},"page":"1081-1101","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["The spectral determinant of the isotropic quantum harmonic oscillator in arbitrary dimensions"],"prefix":"10.1007","volume":"372","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2007-5259","authenticated-orcid":false,"given":"Pedro","family":"Freitas","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,5,10]]},"reference":[{"key":"1692_CR1","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1007\/BF02099770","volume":"165","author":"E Aurell","year":"1994","unstructured":"Aurell, E., Salomonson, P.: On functional determinants of Laplacians in polygons and simplicial complexes. Commun. Math. Phys. 165, 233\u2013259 (1994)","journal-title":"Commun. Math. Phys."},{"key":"1692_CR2","doi-asserted-by":"publisher","first-page":"78","DOI":"10.2969\/jmsj\/04810069","volume":"48","author":"C B\u00e4r","year":"1996","unstructured":"B\u00e4r, C.: The Dirac operator on space forms of positive curvature. J. Math. Soc. Japan 48, 78\u201383 (1996)","journal-title":"J. Math. Soc. Japan"},{"key":"1692_CR3","volume-title":"Geometric analysis and nonlinear PDEs, 3967","author":"C B\u00e4r","year":"2003","unstructured":"B\u00e4r, C., Schopka, S.: The Dirac determinant of spherical space forms. In: Hildebrandt, S., Karcher, H. (eds.) Geometric analysis and nonlinear PDEs, 3967. Springer, Berlin (2003)"},{"key":"1692_CR4","first-page":"179","volume":"215\u2013234","author":"M Bordag","year":"1996","unstructured":"Bordag, M., Geyer, B., Kirsten, K., Elizalde, E.: Zeta function determinant of the Laplace operator on the \n                    \n                      \n                    \n                    $$D-$$\n                    \n                      \n                        \n                          D\n                          -\n                        \n                      \n                    \n                  dimensional ball. Commun. Math. Phys. 215\u2013234, 179 (1996)","journal-title":"Commun. Math. Phys."},{"key":"1692_CR5","doi-asserted-by":"publisher","first-page":"3027","DOI":"10.1090\/S0002-9939-1995-1301012-4","volume":"123","author":"D Burghelea","year":"1995","unstructured":"Burghelea, D., Friedlander, L., Kappeler, T.: On the determinant of elliptic boundary value problems on a line segment. Proc. Am. Math. Soc. 123, 3027\u20133038 (1995)","journal-title":"Proc. Am. Math. Soc."},{"issue":"8","key":"1692_CR6","doi-asserted-by":"publisher","first-page":"083516","DOI":"10.1063\/1.2259580","volume":"47","author":"Guido Cognola","year":"2006","unstructured":"Cognola, G., Elizalde, E., Zerbini, S.: Heat-kernel expansion on noncompact domains and a generalized zeta-function regularization procedure. J. Math. Phys. 47, 083516 (2006). \n                    https:\/\/doi.org\/10.1063\/1.2259580","journal-title":"Journal of Mathematical Physics"},{"key":"1692_CR7","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1063\/1.1703636","volume":"1","author":"IM Gelfand","year":"1960","unstructured":"Gelfand, I.M., Yaglom, A.M.: Integration in functional spaces and it applications in quantum physics. J. Math. Phys. 1, 48\u201369 (1960)","journal-title":"J. Math. Phys."},{"key":"1692_CR8","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1090\/S0002-9939-1977-0457836-8","volume":"65","author":"S Levit","year":"1977","unstructured":"Levit, S., Smilansky, U.: A theorem of infnite products of eigenvalues of Sturm-Liouville type operators. Proc. Am. Math. Soc. 65, 299\u2013302 (1977)","journal-title":"Proc. Am. Math. Soc."},{"key":"1692_CR9","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/s00208-008-0264-x","volume":"343","author":"NM M\u00f8ller","year":"2009","unstructured":"M\u00f8ller, N.M.: Dimensional asymptotics of determinants on \n                    \n                      \n                    \n                    $$S^{n}$$\n                    \n                      \n                        \n                          S\n                          n\n                        \n                      \n                    \n                  , and proof of B\u00e4r-Schopkas conjecture. Math. Ann. 343, 35\u201351 (2009)","journal-title":"Math. Ann."},{"key":"1692_CR10","doi-asserted-by":"publisher","DOI":"10.1201\/9781439864548","volume-title":"Asymptotics and Special Functions","author":"Frank Olver","year":"1997","unstructured":"Olver, F.W.J.: Asymptotics and special functions. A.K. Peters, Wellesley, Massachusetts (1997)"},{"key":"1692_CR11","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/0001-8708(71)90045-4","volume":"7","author":"DB Ray","year":"1971","unstructured":"Ray, D.B., Singer, I.M.: R-torsion and the Laplacian on Riemannian manifolds. Adv. Math. 7, 145\u2013210 (1971)","journal-title":"Adv. Math."},{"key":"1692_CR12","unstructured":"Riemann, B.: Ueber die Anzahl der Primzahlen unter einer gegebenen Gr\u00f6sse, Monatsber. Berlin. Akad. (1859), 671\u2013680, English translation in H.M. Edwards, Riemanns zeta function, Dover Publications Inc, Mineola, NY, : Reprint of the 1974 original. Academic Press, New York (2001)"},{"key":"1692_CR13","unstructured":"Titchmarsh, E.C.: The theory of the Riemann zeta function, Oxford Science Publications, 2nd edn, revised by D.R. Heatn-Brown. Clarendon Press, Oxford (1988)"},{"key":"1692_CR14","volume-title":"Semiclassical analysis, graduate studies in mathematics 138","author":"M Zworski","year":"2012","unstructured":"Zworski, M.: Semiclassical analysis, graduate studies in mathematics 138. American Mathematical Society, Providence (2012)"}],"container-title":["Mathematische Annalen"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00208-018-1692-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00208-018-1692-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00208-018-1692-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,10]],"date-time":"2019-05-10T07:25:16Z","timestamp":1557473116000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00208-018-1692-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,5,10]]},"references-count":14,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[2018,12]]}},"alternative-id":["1692"],"URL":"https:\/\/doi.org\/10.1007\/s00208-018-1692-x","relation":{},"ISSN":["0025-5831","1432-1807"],"issn-type":[{"type":"print","value":"0025-5831"},{"type":"electronic","value":"1432-1807"}],"subject":[],"published":{"date-parts":[[2018,5,10]]},"assertion":[{"value":"14 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 April 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 May 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}