Divisor functions arising from q-series

Bumkyu Cho; Daeyeoul Kim; Jakyung Koo

Divisor functions arising from q-series

Bumkyu Cho^*
, Daeyeoul Kim
, Jakyung Koo

^*Corresponding author for this work

Department of Mathematics

Korea Advanced Institute of Science and Technology
National Institute for Mathematical Sciences

Research output: Contribution to journal › Journal article › peer-review

5 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 language	English
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

Cite this

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title = "Divisor functions arising from q-series",

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.",

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T1 - Divisor functions arising from q-series

AU - Cho, Bumkyu

AU - Kim, Daeyeoul

AU - Koo, Jakyung

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Basic hypergeometric series

UR - https://www.scopus.com/pages/publications/77953561690

M3 - Journal article

AN - SCOPUS:77953561690

SN - 0033-3883

VL - 76

SP - 495

EP - 508

JO - Publicationes Mathematicae Debrecen

JF - Publicationes Mathematicae Debrecen

IS - 3-4

ER -

Divisor functions arising from q-series

Abstract

Keywords

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