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  • NIST handbook of mathematical functions. Edited by Frank W. J. Olver, Daniel W. Lozier, Ronald F. Boisvert and Charles W. Clark. With 1 CD-ROM (Windows, Macintosh and UNIX). U.S. Department of Commerce, National Institute of Standards and Technology, Washington, DC; Cambridge University Press, Cambridge, 2010. xvi+951 pp. ISBN: 978-0-521-14063-8 MR2723248
  • Handbook of mathematical functions, with formulas, graphs, and mathematical tables. Edited by Milton Abramowitz and Irene A. Stegun Dover Publications, Inc., New York 1966 xiv+1046 pp. MR0208797
  • Biane, Philippe; Pitman, Jim; Yor, Marc. Probability laws related to the Jacobi theta and Riemann zeta functions, and Brownian excursions. Bull. Amer. Math. Soc. (N.S.) 38 (2001), no. 4, 435--465 (electronic). MR1848256
  • Borodin, Andrei N.; Salminen, Paavo. Handbook of Brownian motion—facts and formulae. Probability and its Applications. Birkhäuser Verlag, Basel, 1996. xiv+462 pp. ISBN: 3-7643-5463-1 MR1477407
  • Csáki, E. On some distributions concerning maximum and minimum of a Wiener process. Analytic function methods in probability theory (Proc. Colloq. Methods of Complex Anal. in the Theory of Probab. and Statist., Kossuth L. Univ. Debrecen, Debrecen, 1977), pp. 43--52, Colloq. Math. Soc. János Bolyai, 21, North-Holland, Amsterdam-New York, 1979. MR0561878
  • Feller, William. The asymptotic distribution of the range of sums of independent random variables. Ann. Math. Statistics 22, (1951). 427--432. MR0042626
  • Pitman, J.; Yor, M. Path decompositions of a Brownian bridge related to the ratio of its maximum and amplitude. Studia Sci. Math. Hungar. 35 (1999), no. 3-4, 457--474. MR1761927
  • Rademacher, Hans. Topics in analytic number theory. Edited by E. Grosswald, J. Lehner and M. Newman. Die Grundlehren der mathematischen Wissenschaften, Band 169. Springer-Verlag, New York-Heidelberg, 1973. ix+320 pp. MR0364103
  • Shimura, Goro. The critical values of certain Dirichlet series. Doc. Math. 13 (2008), 775--794. MR2466185

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