We prove that the Bernoulli numbers satisfy some special lower triangular Toeplitz systems of linear equations. One of these systems has a strong link with eleven Ramanujan's linear equations satisfied by the first eleven Bernoulli numbers. (C) 2016 Elsevier Inc. All rights reserved.
Di Fiore, C., Tudisco, F., Zellini, P. (2016). Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers. LINEAR ALGEBRA AND ITS APPLICATIONS, 496, 510-526 [10.1016/j.laa.2016.02.007].
Lower triangular Toeplitz-Ramanujan systems whose solution yields the Bernoulli numbers
Di Fiore, C;Tudisco, F;Zellini, P
2016-01-01
Abstract
We prove that the Bernoulli numbers satisfy some special lower triangular Toeplitz systems of linear equations. One of these systems has a strong link with eleven Ramanujan's linear equations satisfied by the first eleven Bernoulli numbers. (C) 2016 Elsevier Inc. All rights reserved.File in questo prodotto:
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