Abstract
We consider some of the properties of divisor functions arising from g-series and theta functions. Using these we obtain several new identities involving divisor functions. On the other hand we prove a conjecture of Z. H. Sun concerning representations by the ternary quadratic form x2 + y2 + 3z2, and also get an analogous result for x 2+y2+ 2z2.
Original language | English |
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Pages (from-to) | 495-508 |
Number of pages | 14 |
Journal | Publicationes Mathematicae Debrecen |
Volume | 76 |
Issue number | 3-4 |
State | Published - 2010 |
Keywords
- Basic hypergeometric series