A remark on algebraic curves derived from convolution sums

Daeyeoul Kim; Aeran Kim; Min Soo Kim

doi:10.1186/1029-242X-2013-58

A remark on algebraic curves derived from convolution sums

Daeyeoul Kim
, Aeran Kim
, Min Soo Kim^*

^*Corresponding author for this work

Department of Mathematics

National Institute for Mathematical Sciences
Jeonbuk National University
Kyungnam University

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

1 Scopus citations

Abstract

Hahn (Rocky Mt. J. Math. 37:1593-1622, 2007) established three differential equations according to Ρ(q), ε(q), and Q(q), which allows us to obtain the values of the formulas for ∑ _l+m+n=N σ̃ (l)σ̃ (m)σ̃ (n), ∑ _l+m+n=N σ̂ (l)σ̂ (m)σ̃ (n), etc. Finally, by using the above equations, we derive the algebraic curves.

Original language	English
Article number	58
Journal	Journal of Inequalities and Applications
Volume	2013
DOIs	https://doi.org/10.1186/1029-242X-2013-58
State	Published - 2013.12

Keywords

Convolution sums

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.1186/1029-242X-2013-58

Cite this

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title = "A remark on algebraic curves derived from convolution sums",

abstract = "Hahn (Rocky Mt. J. Math. 37:1593-1622, 2007) established three differential equations according to Ρ(q), ε(q), and Q(q), which allows us to obtain the values of the formulas for ∑ l+m+n=N {\~σ} (l){\~σ} (m){\~σ} (n), ∑ l+m+n=N {\^σ} (l){\^σ} (m){\~σ} (n), etc. Finally, by using the above equations, we derive the algebraic curves.",

keywords = "Convolution sums",

author = "Daeyeoul Kim and Aeran Kim and Kim, \{Min Soo\}",

year = "2013",

month = dec,

doi = "10.1186/1029-242X-2013-58",

language = "English",

volume = "2013",

journal = "Journal of Inequalities and Applications",

issn = "1025-5834",

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TY - JOUR

T1 - A remark on algebraic curves derived from convolution sums

AU - Kim, Daeyeoul

AU - Kim, Aeran

AU - Kim, Min Soo

PY - 2013/12

Y1 - 2013/12

N2 - Hahn (Rocky Mt. J. Math. 37:1593-1622, 2007) established three differential equations according to Ρ(q), ε(q), and Q(q), which allows us to obtain the values of the formulas for ∑ l+m+n=N σ̃ (l)σ̃ (m)σ̃ (n), ∑ l+m+n=N σ̂ (l)σ̂ (m)σ̃ (n), etc. Finally, by using the above equations, we derive the algebraic curves.

AB - Hahn (Rocky Mt. J. Math. 37:1593-1622, 2007) established three differential equations according to Ρ(q), ε(q), and Q(q), which allows us to obtain the values of the formulas for ∑ l+m+n=N σ̃ (l)σ̃ (m)σ̃ (n), ∑ l+m+n=N σ̂ (l)σ̂ (m)σ̃ (n), etc. Finally, by using the above equations, we derive the algebraic curves.

KW - Convolution sums

UR - https://www.scopus.com/pages/publications/84894225798

U2 - 10.1186/1029-242X-2013-58

DO - 10.1186/1029-242X-2013-58

M3 - Journal article

AN - SCOPUS:84894225798

SN - 1025-5834

VL - 2013

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 58

ER -

A remark on algebraic curves derived from convolution sums

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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