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- W2077004115 abstract "This paper reviews known results which connect Riemann’s integral representations of his zeta function, involving Jacobi’s theta function and its derivatives, to some particular probability laws governing sums of independent exponential variables. These laws are related to one-dimensional Brownian motion and to higher dimensional Bessel processes. We present some characterizations of these probability laws, and some approximations of Riemann’s zeta function which are related to these laws." @default.
- W2077004115 created "2016-06-24" @default.
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- W2077004115 date "2001-06-12" @default.
- W2077004115 modified "2023-09-25" @default.
- W2077004115 title "Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions" @default.
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- W2077004115 doi "https://doi.org/10.1090/s0273-0979-01-00912-0" @default.
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