Divisor functions arising from q-series

Bumkyu Cho, Daeyeoul Kim, Jakyung Koo

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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 languageEnglish
Pages (from-to)495-508
Number of pages14
JournalPublicationes Mathematicae Debrecen
Volume76
Issue number3-4
StatePublished - 2010

Keywords

  • Basic hypergeometric series

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