Ramanujan's method in \(q\)-series congruences
The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2
We show that the method that was developed by Ramanujan to prove $5|p (5n + 4)$ and $7|p (7n + 5)$ may, in fact, be extended to a wide variety of $q$-series and products including some with free parameters.
@article{10_37236_1317,
author = {George E. Andrews and Ranjan Roy},
title = {Ramanujan's method in \(q\)-series congruences},
journal = {The electronic journal of combinatorics},
year = {1997},
volume = {4},
number = {2},
doi = {10.37236/1317},
zbl = {0884.05012},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1317/}
}
George E. Andrews; Ranjan Roy. Ramanujan's method in \(q\)-series congruences. The electronic journal of combinatorics, The Wilf Festschrift volume, Tome 4 (1997) no. 2. doi: 10.37236/1317
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