Spreafico, M. Zeta determinants of Sturm-Liouville operators. (English. Russian original) Zbl 1454.34048 Funct. Anal. Appl. 54, No. 2, 149-154 (2020); translation from Funkts. Anal. Prilozh. 54, No. 2, 95-102 (2020). Summary: We give a new formula for the zeta determinant of a Sturm-Liouville operator on a line segment Encyclopedia of Mathematics Wikipedia Wolfram MathWorld .© Pleiades Publishing, Ltd. 2020 Cited in 1 Document MSC: 34B24 Sturm-Liouville theory 34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) 34L15 Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators Keywords:Sturm-Liouville operators; zeta determinants × Cite Format Result Cite Review PDF Full Text: DOI Link References: [1] Burghelea, D.; Friedlander, L.; Kappeler, T., Proc. Amer. Math. Soc., 123, 10, 3027-3038 (1995) · Zbl 0848.34063 · doi:10.1090/S0002-9939-1995-1301012-4 [2] Lesh, M., Math. Nachr., 194, 139-170 (1998) · Zbl 0924.58107 · doi:10.1002/mana.19981940110 [3] Levit, S.; Smilansky, U., Proc. Amer. Math. Soc., 65, 2, 299-302 (1977) · Zbl 0374.34016 · doi:10.1090/S0002-9939-1977-0457836-8 [4] Levitan, B. M.; Sargsjan, I. S., Introduction to Spectral Theory: Selfadjoint Ordinary Differential Operators (1975), Providence, RI: Amer. Math. Soc., Providence, RI · Zbl 0302.47036 [5] Lesh, M.; Vertmann, B., J. Funct. Anal., 261, 2, 408-450 (2011) · Zbl 1230.34077 · doi:10.1016/j.jfa.2011.03.011 [6] Spreafico, M., Proc. Amer. Math. Soc., 140, 6, 1881-1869 (2012) · Zbl 1272.11104 · doi:10.1090/S0002-9939-2011-11061-X This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.