@article{bpy99z,
        title = {{Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions}},
        author = {Philippe Biane and Jim Pitman and Marc Yor},
        journal = {Bull. Amer. Math. Soc.},
        pages = {435-465},
        volume = 38,
        year = 2001,
        url = {http://www.ams.org/journal-getitem?pii=S0273-0979-01-00912-0},
        arxiv = {math.PR/9912170},
	mrnumber = {MR1848256},
	znumber = {01663205},
	bibnumber = {105},
	mrclass = {11M06 (11K99 60E07 60J65)},
	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.},
	biburl = {http://www.bibsonomy.org/bibtex/2b439417f19ee3152968e5e713b5a6d39/pitman},
	keywords = {Jacobi_theta_function Dept_Statistics_Berkeley Dept_Mathematics_Berkeley author_Pitman__Jim Riemmann_zeta_function Brownian_excursions}
}