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تسجيل مستخدم جديدProbability laws related to the Jacobi theta and Riemann zeta function and Brownian excursions
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This paper reviews known results which connect Riemanns integral representations of his zeta function, involving Jacobis 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 Riemanns zeta function which are related to these laws.
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