On a Ramanujan's identity
Glasgow mathematical journal, Tome 34 (1992) no. 1, pp. 17-19
Voir la notice de l'article provenant de la source Cambridge University Press
In [4], Ramanujan stated the following beautiful identity which was later proved by Bailey [2] and [3];We denote by S(n) the coefficient of qn on the right hand side of (1). The object of this paper is to prove the following two theorems.
Tamba, Manvendra. On a Ramanujan's identity. Glasgow mathematical journal, Tome 34 (1992) no. 1, pp. 17-19. doi: 10.1017/S0017089500008491
@article{10_1017_S0017089500008491,
author = {Tamba, Manvendra},
title = {On a {Ramanujan's} identity},
journal = {Glasgow mathematical journal},
pages = {17--19},
year = {1992},
volume = {34},
number = {1},
doi = {10.1017/S0017089500008491},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500008491/}
}
[1] 1.Andrews, G. E., The theory of partitions, Encyclopedia of Math. Appl., Vol. 2 (Addison-Wesley, 1976). Google Scholar
[2] 2.Bailey, W. N., A note on two of Ramanujan's formulae, Quart. J. Math. 3 (1952), 29–31. Google Scholar | DOI
[3] 3.Bailey, W. N., A further note on two of Ramanujan's formulae, Quart. J. Math. 3 (1952), 158–160. Google Scholar | DOI
[4] 4.Ramanujan, S., Congruence properties of p(n), (unpublished manuscript), Trinity College Library (1920). Google Scholar
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