Generalized mahler measures and multiple sine functions

Yasuro Gon; Hideo Oyanagi

doi:10.1142/S0129167X04002363

Generalized mahler measures and multiple sine functions

Yasuro Gon, Hideo Oyanagi

数学部門

研究成果: Contribution to journal › Article › 査読

4 被引用数 (Scopus)

抄録

We introduce a generalized Mahler measure. It has relations to multiple sine functions and Dirichlet L-functions. In particular, we are able to express special values of Dirichlet L-functions by sum of logarithmic generalized Mahler measures.

本文言語	英語
ページ（範囲）	425-442
ページ数	18
ジャーナル	International Journal of Mathematics
巻	15
号	5
DOI	https://doi.org/10.1142/S0129167X04002363
出版ステータス	出版済み - 7 1 2004

All Science Journal Classification (ASJC) codes

Mathematics(all)

文献へのアクセス

10.1142/S0129167X04002363

フィンガープリント「Generalized mahler measures and multiple sine functions」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル

@article{5d88ccadefb5429f9fedc9e9f67d30a7,

title = "Generalized mahler measures and multiple sine functions",

abstract = "We introduce a generalized Mahler measure. It has relations to multiple sine functions and Dirichlet L-functions. In particular, we are able to express special values of Dirichlet L-functions by sum of logarithmic generalized Mahler measures.",

author = "Yasuro Gon and Hideo Oyanagi",

year = "2004",

month = jul,

day = "1",

doi = "10.1142/S0129167X04002363",

language = "English",

volume = "15",

pages = "425--442",

journal = "International Journal of Mathematics",

issn = "0129-167X",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "5",

}

TY - JOUR

T1 - Generalized mahler measures and multiple sine functions

AU - Gon, Yasuro

AU - Oyanagi, Hideo

PY - 2004/7/1

Y1 - 2004/7/1

N2 - We introduce a generalized Mahler measure. It has relations to multiple sine functions and Dirichlet L-functions. In particular, we are able to express special values of Dirichlet L-functions by sum of logarithmic generalized Mahler measures.

AB - We introduce a generalized Mahler measure. It has relations to multiple sine functions and Dirichlet L-functions. In particular, we are able to express special values of Dirichlet L-functions by sum of logarithmic generalized Mahler measures.

UR - http://www.scopus.com/inward/record.url?scp=7244229639&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=7244229639&partnerID=8YFLogxK

U2 - 10.1142/S0129167X04002363

DO - 10.1142/S0129167X04002363

M3 - Article

AN - SCOPUS:7244229639

VL - 15

SP - 425

EP - 442

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

IS - 5

ER -