Geodesic
Further Theorems of the Rogers-Ramanujan Type Theorems*
Canadian mathematical bulletin, Tome 31 (1988) no. 2, pp. 210-214

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DOI

We give three new partition theorems of the classical Rogers-Ramanujan type which are very much in the style of MacMahon. These are a continuation of four theorems of the same kind given recently by the second author. One of these new theorems, very similar to one of the original Rogers-Ramanuj an - MacMahon type theorems is as follows: Let C(n) denote the number of partitions of n into parts congruent to ±2, ± 3,±4,± 5,±6,±7 (mod 20). Let D(n) denote the number of partitions of n of the form n = b1 + b2 + ... + bt, where bt ≧ 2, bt ≧ bi + 1 and if 1 ≦ i ≦ [(t - 2)/2], bi - bi + 1 ≧ 2. Then C(n) = D(n).
DOI : 10.4153/CMB-1988-032-3
Mots-clés : Partitions, congruences, generating functions, 10A45 
Subbarao, M. V.; Agarwal, A. K. Further Theorems of the Rogers-Ramanujan Type Theorems*. Canadian mathematical bulletin, Tome 31 (1988) no. 2, pp. 210-214. doi: 10.4153/CMB-1988-032-3
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     title = {Further {Theorems} of the {Rogers-Ramanujan} {Type} {Theorems*}},
     journal = {Canadian mathematical bulletin},
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     year = {1988},
     volume = {31},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-032-3/}
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