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- W2988234660 abstract "The heat invariants or the Minakshisundaram-Pleijel heat coefficients (M) (k ≥ 0) describe the asymptotic expansion of the heat kernel HM on any N = 4 n-dimensional (n ≥ 1) compact Riemannian manifold M; associated with the coefficients is the Minakshisundaram-Pleijel zeta function ζM = ζM(s) (s ∈ C). In this paper, we introduce and study a new class of heat coefficients, namely, the Maclaurin heat coefficients (t > 0 , m 0) (i.e., the coefficients appearing in the Maclaurin expansion of the heat kernel HM(t, θ)) in terms of the classical and generalised Minakshisundaram-Pleijel coefficients and (M) (0 ⩽ j ⩽ m) respectively, when M = P n(H) (n ≥ 1), a quaternionic projective space. Remarkable asymptotic expansions for the Maclaurin spectral functions are established. We also introduce and construct new zeta functions (m ≥ 0) associated with these Maclaurin heat coefficients (generalised Minakshisundaram-Pleijel zeta functions), and it is interesting to see that these generalised zeta functions can be explicitly understood in terms of the classical (Minakshisundaram-Pleijel) zeta functions." @default.
- W2988234660 created "2019-11-22" @default.
- W2988234660 creator A5058976077 @default.
- W2988234660 date "2019-11-01" @default.
- W2988234660 modified "2023-09-23" @default.
- W2988234660 title "Maclaurin Heat Coefficients and Associated Zeta Functions on Quaternionic Projective Spaces P n (H) (n ≥ 1)" @default.
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- W2988234660 doi "https://doi.org/10.1088/1742-6596/1366/1/012055" @default.
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