Note on the monotonicity of coefficients for some q-series arising from Ramanujan's Lost Notebook

Authors
Citation
Wc. Liaw, Note on the monotonicity of coefficients for some q-series arising from Ramanujan's Lost Notebook, RAMANUJAN J, 3(4), 1999, pp. 385-388
Citations number
9
Categorie Soggetti
Mathematics
Journal title
RAMANUJAN JOURNAL
ISSN journal
13824090 → ACNP
Volume
3
Issue
4
Year of publication
1999
Pages
385 - 388
Database
ISI
SICI code
1382-4090(199912)3:4<385:NOTMOC>2.0.ZU;2-D
Abstract
In this note, we shall give a partition-theoretic interpretation which expl ains the non-negativity of the coefficients of some q-series arising from R amanujan's Lost Notebook and prove the almost-increasingness of the coeffic ients via a vector partition generating function.