Some arithmetic properties of short random walk integrals

Author:

Borwein Jonathan M.,Nuyens Dirk,Straub Armin,Wan James

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference27 articles.

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2. Bailey, D.H., Borwein, J.M., Broadhurst, D.J., Glasser, M.L.: Elliptic integral evaluations of Bessel moments and applications. J. Phys. A, Math. Theor. 41, 5203–5231 (2008)

3. Barrucand, P.: Sur la somme des puissances des coefficients multinomiaux et les puissances successives d’une fonction de Bessel. C. R. Hebd. Séances Acad. Sci. 258, 5318–5320 (1964)

4. Borwein, J.M., Borwein, P.B.: Pi and the AGM: A Study in Analytic Number Theory and Computational Complexity. Wiley, New York (1987)

5. Borwein, J.M., Straub, A., Wan, J.: Three-step and four-step random walk integrals. Exp. Math. (2011, in press). Available at: http://www.carma.newcastle.edu.au/~jb616/walks2.pdf

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