Divergent series (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Divergent series" in English language version.

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Muraev, E. B. (1978), "Borel summation of n-multiple series, and entire functions associated with them", Akademiya Nauk SSSR, 19 (6): 1332–1340, 1438, MR 0515185. Muraev observes that Borel summation is translative in one of the two directions: augmenting a series by a zero placed at its start does not change the summability or value of the series. However, he states "the converse is false".

archive.org

Hardy 1949, p. 14. Hardy, G. H. (1949), Divergent Series, Oxford: Clarendon Press.
Hardy 1949, p. 21. Hardy, G. H. (1949), Divergent Series, Oxford: Clarendon Press.
Hardy 1949, Appendix II. Hardy, G. H. (1949), Divergent Series, Oxford: Clarendon Press.
Hardy 1949, 4.11. Hardy, G. H. (1949), Divergent Series, Oxford: Clarendon Press.
Hardy 1949, 4.17. Hardy, G. H. (1949), Divergent Series, Oxford: Clarendon Press.

arxiv.org

Bartlett, Jonathan; Gaastra, Logan; Nemati, David (January 2020). "Hyperreal Numbers for Infinite Divergent Series". Communications of the Blyth Institute. 2 (1): 7–15. arXiv:1804.11342. doi:10.33014/issn.2640-5652.2.1.bartlett-et-al.1. S2CID 119665957.

doi.org

Bartlett, Jonathan; Gaastra, Logan; Nemati, David (January 2020). "Hyperreal Numbers for Infinite Divergent Series". Communications of the Blyth Institute. 2 (1): 7–15. arXiv:1804.11342. doi:10.33014/issn.2640-5652.2.1.bartlett-et-al.1. S2CID 119665957.

encyclopediaofmath.org

"Translativity". The Encyclopedia of Mathematics. Springer.
Volkov 2001. Volkov, I.I. (2001) [1994], "Lindelöf summation method", Encyclopedia of Mathematics, EMS Press.

numericana.com

"Summation methods". Michon's Numericana.

semanticscholar.org

api.semanticscholar.org

Bartlett, Jonathan; Gaastra, Logan; Nemati, David (January 2020). "Hyperreal Numbers for Infinite Divergent Series". Communications of the Blyth Institute. 2 (1): 7–15. arXiv:1804.11342. doi:10.33014/issn.2640-5652.2.1.bartlett-et-al.1. S2CID 119665957.

terrytao.wordpress.com

Tao, Terence (10 April 2010). "The Euler-Maclaurin formula, Bernoulli numbers, the zeta function, and real-variable analytic continuation".