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- Title
ON THE q-DERIVATIVE AND q-SERIES EXPANSIONS.
- Authors
LIU, ZHI-GUO
- Abstract
Using a general q-series expansion, we derive some nontrivial q-formulas involving many infinite products. A multitude of Hecke-type series identities are derived. Some general formulas for sums of any number of squares are given. A new representation for the generating function for sums of three triangular numbers is derived, which is slightly different from that of Andrews, also implies the famous result of Gauss where every integer is the sum of three triangular numbers.
- Subjects
Q-series; MATRIX derivatives; MATHEMATICAL expansion; NUMBER theory; INFINITE products; MATHEMATICAL formulas
- Publication
International Journal of Number Theory, 2013, Vol 9, Issue 8, p2069
- ISSN
1793-0421
- Publication type
Article
- DOI
10.1142/S1793042113500759