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New series in the Johnson cokernels of the mapping class groups of surfaces
New series Johnson cokernels mapping class groups of surfaces
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2011/1/20
Let g,1 be a compact oriented surface of genus g with one boundary component,andMg,1 its mapping class group. Morita showed that the image of the k-th Johnson homomorphism M
k of Mg,1 is contained ...
A new series for $\pi^3$ and related congruences
Series for 3 central binomial coefficients congruences modulo prime powers
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2010/12/14
Let H(2)n denote the second-order harmonic numberP0n 1/k2 for n = 0, 1, 2, . . . . In this paper we obtain the following new identity for 3: 1 X k=1 2kH(2) k−1 k2k k = 3 48 .We e...