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- Zeta_function_(operator) abstract "The zeta function of a mathematical operator is a function defined asfor those values of s where this expression exists, and as an analytic continuation of this function for other values of s. Here "tr" denotes a functional trace.The zeta function may also be expressible as a spectral zeta function in terms of the eigenvalues of the operator by.It is used in giving a rigorous definition to the functional determinant of an operator, which is given byThe Minakshisundaram–Pleijel zeta function is an example, when the operator is the Laplacian of a compact Riemannian manifold.One of the most important motivations for Arakelov theory is the zeta functions for operators with the method of heat kernels generalized algebro-geometrically.".
- Zeta_function_(operator) wikiPageID "26527265".
- Zeta_function_(operator) wikiPageRevisionID "599445779".
- Zeta_function_(operator) hasPhotoCollection Zeta_function_(operator).
- Zeta_function_(operator) subject Category:Functional_analysis.
- Zeta_function_(operator) subject Category:Zeta_and_L-functions.
- Zeta_function_(operator) comment "The zeta function of a mathematical operator is a function defined asfor those values of s where this expression exists, and as an analytic continuation of this function for other values of s.".
- Zeta_function_(operator) label "Zeta function (operator)".
- Zeta_function_(operator) label "ゼータ函数 (作用素)".
- Zeta_function_(operator) sameAs ゼータ函数_(作用素).
- Zeta_function_(operator) sameAs m.0bhbkxk.
- Zeta_function_(operator) sameAs Q11315066.
- Zeta_function_(operator) sameAs Q11315066.
- Zeta_function_(operator) wasDerivedFrom Zeta_function_(operator)?oldid=599445779.
- Zeta_function_(operator) isPrimaryTopicOf Zeta_function_(operator).