Abstract
The Ramanujan summation differs from the classical summation methods by the fact that for convergent series it does not give the usual sum. Also there is the shift property which seems very strange for a summation procedure. Thus it is necessary to define a general algebraic formalism to unify the Ramanujan summation and the classical methods of summation of series.
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Candelpergher, B. (2017). An Algebraic View on the Summation of Series. In: Ramanujan Summation of Divergent Series. Lecture Notes in Mathematics, vol 2185. Springer, Cham. https://doi.org/10.1007/978-3-319-63630-6_5
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DOI: https://doi.org/10.1007/978-3-319-63630-6_5
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-63630-6
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