Geodesic
A PAGE ON EISENSTEIN SERIES IN RAMANUJAN'S LOST NOTEBOOK
Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 123-129

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DOI

Page 188 in Ramanujan's lost notebook is devoted to a certain class of infinite series connected with Euler's pentagonal number theorem. These series are represented in terms of Ramanujan's famous Eisenstein series $P, Q$, and $R$. The purpose of this paper is to prove all the formulas on page 188 and to show that one of them leads to an interesting, new recurrence formula for $\sigma (n)$, the sum of the positive divisors of $n$.
DOI : 10.1017/S0017089502001076
Mots-clés : 11F11 
BERNDT, BRUCE C.; YEE, AE JA. A PAGE ON EISENSTEIN SERIES IN RAMANUJAN'S LOST NOTEBOOK. Glasgow mathematical journal, Tome 45 (2003) no. 1, pp. 123-129. doi: 10.1017/S0017089502001076
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