Arithmetic of infinite products and Rogers-Ramanujan continued fractions

Daeyeoul Kim; Ja Kyung Koo; Yilmaz Simsek

doi:10.4134/CKMS.2007.22.3.331

Arithmetic of infinite products and Rogers-Ramanujan continued fractions

Daeyeoul Kim^*
, Ja Kyung Koo
, Yilmaz Simsek

^*Corresponding author for this work

Department of Mathematics

Korea Advanced Institute of Science and Technology
Akdeniz University

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

3 Scopus citations

Abstract

Let k be an imaginary quadratic field, h the complex upper half plane, and let τ ∈ η∩k, q = e^πiτ. We find a lot of algebraic properties derived from theta functions, and by using this we explore some new algebraic numbers from Rogers-Ramanujan continued fractions.

Original language	English
Pages (from-to)	331-351
Number of pages	21
Journal	Communications of the Korean Mathematical Society
Volume	22
Issue number	3
DOIs	https://doi.org/10.4134/CKMS.2007.22.3.331
State	Published - 2007

Keywords

Algebraic number
Rogers-Ramanujan continued fraction
Theta series
Transcendental number

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.4134/CKMS.2007.22.3.331

Cite this

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title = "Arithmetic of infinite products and Rogers-Ramanujan continued fractions",

abstract = "Let k be an imaginary quadratic field, h the complex upper half plane, and let τ ∈ η∩k, q = eπiτ. We find a lot of algebraic properties derived from theta functions, and by using this we explore some new algebraic numbers from Rogers-Ramanujan continued fractions.",

keywords = "Algebraic number, Rogers-Ramanujan continued fraction, Theta series, Transcendental number",

author = "Daeyeoul Kim and Koo, \{Ja Kyung\} and Yilmaz Simsek",

year = "2007",

doi = "10.4134/CKMS.2007.22.3.331",

language = "English",

volume = "22",

pages = "331--351",

journal = "Communications of the Korean Mathematical Society",

issn = "1225-1763",

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TY - JOUR

T1 - Arithmetic of infinite products and Rogers-Ramanujan continued fractions

AU - Kim, Daeyeoul

AU - Koo, Ja Kyung

AU - Simsek, Yilmaz

PY - 2007

Y1 - 2007

N2 - Let k be an imaginary quadratic field, h the complex upper half plane, and let τ ∈ η∩k, q = eπiτ. We find a lot of algebraic properties derived from theta functions, and by using this we explore some new algebraic numbers from Rogers-Ramanujan continued fractions.

AB - Let k be an imaginary quadratic field, h the complex upper half plane, and let τ ∈ η∩k, q = eπiτ. We find a lot of algebraic properties derived from theta functions, and by using this we explore some new algebraic numbers from Rogers-Ramanujan continued fractions.

KW - Algebraic number

KW - Rogers-Ramanujan continued fraction

KW - Theta series

KW - Transcendental number

UR - https://www.scopus.com/pages/publications/34548528337

U2 - 10.4134/CKMS.2007.22.3.331

DO - 10.4134/CKMS.2007.22.3.331

M3 - Journal article

AN - SCOPUS:34548528337

SN - 1225-1763

VL - 22

SP - 331

EP - 351

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 3

ER -

Arithmetic of infinite products and Rogers-Ramanujan continued fractions

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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