Regulators and class numbers of an infinite family of quintic function fields

Jungyun Lee; Yoonjin Lee

doi:10.4064/aa8626-1-2018

Regulators and class numbers of an infinite family of quintic function fields

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Original language	English
Pages (from-to)	107-125
Number of pages	19
Journal	Acta Arithmetica
Volume	185
Issue number	2
DOIs	https://doi.org/10.4064/aa8626-1-2018
State	Published - 2018

Bibliographical note

Funding Information:
The authors gratefully acknowledge the constructive comments on the paper offered by the anonymous referee. The authors were supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2009-0093827); the first named author was also supported by the NRF grant funded by the Korea government(NRF-2017R1A6A3A11030486), and the second named author by the NRF grant funded by the Korea government (MEST)(NRF-2017R1A2B2004574).

Keywords

Class number
Cyclotomic function field
Function field
Irregular prime
Quintic extension
Regulator

Access to Document

10.4064/aa8626-1-2018

Cite this

@article{51d17f844be248c78d4061671a06c83b,

title = "Regulators and class numbers of an infinite family of quintic function fields",

keywords = "Class number, Cyclotomic function field, Function field, Irregular prime, Quintic extension, Regulator",

author = "Jungyun Lee and Yoonjin Lee",

note = "Funding Information: The authors gratefully acknowledge the constructive comments on the paper offered by the anonymous referee. The authors were supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2009-0093827); the first named author was also supported by the NRF grant funded by the Korea government(NRF-2017R1A6A3A11030486), and the second named author by the NRF grant funded by the Korea government (MEST)(NRF-2017R1A2B2004574).",

year = "2018",

doi = "10.4064/aa8626-1-2018",

language = "English",

volume = "185",

pages = "107--125",

journal = "Acta Arithmetica",

issn = "0065-1036",

publisher = "Instytut Matematyczny",

number = "2",

}

TY - JOUR

T1 - Regulators and class numbers of an infinite family of quintic function fields

AU - Lee, Jungyun

AU - Lee, Yoonjin

N1 - Funding Information: The authors gratefully acknowledge the constructive comments on the paper offered by the anonymous referee. The authors were supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2009-0093827); the first named author was also supported by the NRF grant funded by the Korea government(NRF-2017R1A6A3A11030486), and the second named author by the NRF grant funded by the Korea government (MEST)(NRF-2017R1A2B2004574).

PY - 2018

Y1 - 2018

KW - Class number

KW - Cyclotomic function field

KW - Function field

KW - Irregular prime

KW - Quintic extension

KW - Regulator

UR - http://www.scopus.com/inward/record.url?scp=85055274266&partnerID=8YFLogxK

U2 - 10.4064/aa8626-1-2018

DO - 10.4064/aa8626-1-2018

M3 - Article

AN - SCOPUS:85055274266

SN - 0065-1036

VL - 185

SP - 107

EP - 125

JO - Acta Arithmetica

JF - Acta Arithmetica

IS - 2

ER -