Tapas in experimental mathematics : AMS Special Session on Experimental Mathematics, January 5, 2007, New Orleans, Louisiana
著者
書誌事項
Tapas in experimental mathematics : AMS Special Session on Experimental Mathematics, January 5, 2007, New Orleans, Louisiana
(Contemporary mathematics, 457)
American Mathematical Society, c2008
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注記
Includes bibliographical references
内容説明・目次
内容説明
Experimental Mathematics is a recently structured field of Mathematics that uses a computer and advanced computing technology as tools to perform experiments such as analysis of examples, testing of new ideas, and the search of patterns.
目次
Two dimensional directed lattice walks with boundaries by A. Ayyer and D. Zeilberger Computer-assisted discovery and proof by D. H. Bailey and J. M. Borwein On the collection of integers that index the fixed points of maps on the space of rational functions by C. D. Bennett and E. Mosteig Questionable claims found in Ramanujan's lost notebook by B. C. Berndt, O.-Y. Chan, S.-G. Lim, and A. Zaharescu Partition polynomials: Asymptotics and zeros by R. P. Boyer and W. M. Y. Goh Hypergeometric functions related to series acceleration formulas by D. M. Bradley Using integer relations algorithms for finding relationships among functions by M. Chamberland Conjecturing the optimal order of the components of the Li/Keiper constants by M. W. Coffey An experimental approach to equation-solving: Symmetry and dynamics by S. Crass Multidimensional radix representations and Hot Spot Theorem by E. Curry Some properties of the inverse error function by D. Dominici On the Laplace transform of the Psi function by M. L. Glasser and D. Manna Computer algebra for special function inequalities by M. Kauers An isodiametric problem for equilateral polygons by M. J. Mossinghoff Some Euler-type integrals and a new rational series for Euler's constant by O. Oloa Disturbing the $q$-Dyson conjecture by A. V. Sills Which partial sums of the Taylor series for $e$ are convergents to $e$? (and a link to the primes 2, 5, 13, 37, 463) by J. Sondow and K. Schalm Symbol-crunching with the gambler's ruin problem by D. Zeilberger.
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