Identities by Generalized L-Summing Method
Abstract
In this paper, we introduce 3-dimensional L-summing method, which is a rearrangement of the summation Σ Aabc with 1≤ a,b,c≤ n. Applying this method on some special arrays, we obtain some identities on the Riemann zeta function and digamma function. Also, we give a Maple program for this method to obtain identities with input various arrays and out put identities concerning some elementary functions and hypergeometric functions. Finally, we introduce a further generalization of L-summing method in higher dimension spaces.
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