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arXiv · 2303.14045

A Generalisation of Ramanujan's (back of the envelope) Method for Divergent Series

Patrick J. Burchell
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Abstract

Ramanujan derived the well known divergent-sum of integers in more than one way. We generalise the informal method to higher powers of the Riemann zeta function through a study of the Eulerian numbers in particular. Within the context of additive combinatorics a heuristic approach that unifies generating series and difference matrices is presented.

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Patrick J. Burchell. 2023-03-24. A Generalisation of Ramanujan's (back of the envelope) Method for Divergent Series. https://arxiv.org/abs/2303.14045

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