首页
学术期刊
论文检测
AIGC检测
热点
更多
数据
Class groups of real cyclotomic fields
被引:2
作者
:
Mishra, Mohit
论文数:
0
引用数:
0
h-index:
0
机构:
HBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, India
HBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, India
Mishra, Mohit
[
1
]
Schoof, Rene
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy
HBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, India
Schoof, Rene
[
2
]
Washington, Lawrence C.
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Maryland, Dept Math, College Pk, MD 20742 USA
HBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, India
Washington, Lawrence C.
[
3
]
机构
:
[1]
HBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, India
[2]
Univ Roma Tor Vergata, Dipartimento Matemat, Via Ric Sci, I-00133 Rome, Italy
[3]
Univ Maryland, Dept Math, College Pk, MD 20742 USA
来源
:
MONATSHEFTE FUR MATHEMATIK
|
2021年
/ 195卷
/ 03期
关键词
:
Real cyclotomic fields;
Class groups;
Class field theory;
CLASS-NUMBER;
L-RANK;
SUBFIELD;
D O I
:
10.1007/s00605-020-01499-0
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We prove that every finite abelian group G occurs as a subgroup of the class group of infinitely many real cyclotomic fields.
引用
收藏
页码:489 / 496
页数:8
相关论文
共 50 条
[21]
The Kummer ratio of the relative class number for prime cyclotomic fields
Kandhil, Neelam
论文数:
0
引用数:
0
h-index:
0
机构:
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Kandhil, Neelam
Languasco, Alessandro
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Padua, Dipartimento Matemat Tullio Levi Civ, Via Trieste 63, I-35121 Padua, Italy
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Languasco, Alessandro
Moree, Pieter
论文数:
0
引用数:
0
h-index:
0
机构:
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Moree, Pieter
Eddin, Sumaia Saad
论文数:
0
引用数:
0
h-index:
0
机构:
Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, Altenbergerstr 69, A-4040 Linz, Austria
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Eddin, Sumaia Saad
Sedunova, Alisa
论文数:
0
引用数:
0
h-index:
0
机构:
Purdue Univ, Dept Math, 150 N Univ St, W Lafayette, IN 47907 USA
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Sedunova, Alisa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2024,
538
(01)
[22]
THE DETERMINATION OF SUBGROUPS IN IDEAL CLASS-GROUPS OF REAL QUADRATIC FIELDS
ZHANG, XK
论文数:
0
引用数:
0
h-index:
0
ZHANG, XK
CHINESE SCIENCE BULLETIN,
1992,
37
(11):
: 890
-
893
[23]
UNIT GROUPS AND CLASS-NUMBERS OF REAL CYCLIC OCTIC FIELDS
SHEN, YY
论文数:
0
引用数:
0
h-index:
0
SHEN, YY
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1991,
326
(01)
: 179
-
209
[24]
On the size of determinants in the class number formulae of cyclotomic function fields
Aoyama, Daiki
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Toyama, Grad Sch Sci & Engn Educ, 3190 Gofuku, Toyama, Toyama 9308555, Japan
Univ Toyama, Grad Sch Sci & Engn Educ, 3190 Gofuku, Toyama, Toyama 9308555, Japan
Aoyama, Daiki
Kimura, Iwao
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Toyama, Dept Math, Fac Sci, 3190 Gofuku, Toyama, Toyama 9308555, Japan
Univ Toyama, Grad Sch Sci & Engn Educ, 3190 Gofuku, Toyama, Toyama 9308555, Japan
Kimura, Iwao
JSIAM LETTERS,
2020,
12
: 17
-
20
[25]
ON THE CLASS-NUMBER OF THE MAXIMAL REAL SUBFIELD OF A CYCLOTOMIC FIELD
Hoque, Azizul
论文数:
0
引用数:
0
h-index:
0
机构:
Gauhati Univ, Dept Math, Gauhati 781014, India
Gauhati Univ, Dept Math, Gauhati 781014, India
Hoque, Azizul
Saikia, Helen K.
论文数:
0
引用数:
0
h-index:
0
机构:
Gauhati Univ, Dept Math, Gauhati 781014, India
Gauhati Univ, Dept Math, Gauhati 781014, India
Saikia, Helen K.
Quaestiones Mathematicae,
2016,
39
(07)
: 889
-
894
[26]
On generalized Mersenne Primes and class-numbers of equivalent quadratic fields and cyclotomic fields
Hoque A.
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Gauhati University, Guwahati
Department of Mathematics, Gauhati University, Guwahati
Hoque A.
Saikia H.K.
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Gauhati University, Guwahati
Department of Mathematics, Gauhati University, Guwahati
Saikia H.K.
SeMA Journal,
2015,
67
(1)
: 71
-
75
[27]
Form Class Groups and Class Fields of CM-Fields
Ho Yun Jung
论文数:
0
引用数:
0
h-index:
0
机构:
Dankook University,Department of Mathematics
Ho Yun Jung
Ja Kyung Koo
论文数:
0
引用数:
0
h-index:
0
机构:
Dankook University,Department of Mathematics
Ja Kyung Koo
Dong Hwa Shin
论文数:
0
引用数:
0
h-index:
0
机构:
Dankook University,Department of Mathematics
Dong Hwa Shin
论文数:
引用数:
h-index:
机构:
Dong Sung Yoon
Results in Mathematics,
2023,
78
[28]
Form Class Groups and Class Fields of CM-Fields
Jung, Ho Yun
论文数:
0
引用数:
0
h-index:
0
机构:
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Jung, Ho Yun
Koo, Ja Kyung
论文数:
0
引用数:
0
h-index:
0
机构:
Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Koo, Ja Kyung
Shin, Dong Hwa
论文数:
0
引用数:
0
h-index:
0
机构:
Hankuk Univ Foreign Studies, Dept Math, Yongin 17035, Gyeonggi Do, South Korea
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Shin, Dong Hwa
Yoon, Dong Sung
论文数:
0
引用数:
0
h-index:
0
机构:
Pusan Natl Univ, Dept Math Educ, Busan 46241, South Korea
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Yoon, Dong Sung
RESULTS IN MATHEMATICS,
2023,
78
(01)
[29]
Bounds for frequencies of class groups of real quadratic genus 1 function fields
Friesen, C
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ Marion, Marion, OH 43302 USA
Ohio State Univ Marion, Marion, OH 43302 USA
Friesen, C
ACTA ARITHMETICA,
2001,
96
(04)
: 313
-
331
[30]
On units of real triquadratic fields and the second 2-class group of certain cyclotomic Z2-extensions
Jerrari, Idriss
论文数:
0
引用数:
0
h-index:
0
机构:
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Jerrari, Idriss
Sbai, Abdellah
论文数:
0
引用数:
0
h-index:
0
机构:
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Sbai, Abdellah
Azizi, Abdelmalek
论文数:
0
引用数:
0
h-index:
0
机构:
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
SupMTI, Oujda, Morocco
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Azizi, Abdelmalek
RAMANUJAN JOURNAL,
2025,
67
(02)
←
1
2
3
4
5
→
共 50 条
[21]
The Kummer ratio of the relative class number for prime cyclotomic fields
Kandhil, Neelam
论文数:
0
引用数:
0
h-index:
0
机构:
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Kandhil, Neelam
Languasco, Alessandro
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Padua, Dipartimento Matemat Tullio Levi Civ, Via Trieste 63, I-35121 Padua, Italy
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Languasco, Alessandro
Moree, Pieter
论文数:
0
引用数:
0
h-index:
0
机构:
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Moree, Pieter
Eddin, Sumaia Saad
论文数:
0
引用数:
0
h-index:
0
机构:
Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, Altenbergerstr 69, A-4040 Linz, Austria
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Eddin, Sumaia Saad
Sedunova, Alisa
论文数:
0
引用数:
0
h-index:
0
机构:
Purdue Univ, Dept Math, 150 N Univ St, W Lafayette, IN 47907 USA
Max Planck Inst Math, Vivatsgasse 7, D-53111 Bonn, Germany
Sedunova, Alisa
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,
2024,
538
(01)
[22]
THE DETERMINATION OF SUBGROUPS IN IDEAL CLASS-GROUPS OF REAL QUADRATIC FIELDS
ZHANG, XK
论文数:
0
引用数:
0
h-index:
0
ZHANG, XK
CHINESE SCIENCE BULLETIN,
1992,
37
(11):
: 890
-
893
[23]
UNIT GROUPS AND CLASS-NUMBERS OF REAL CYCLIC OCTIC FIELDS
SHEN, YY
论文数:
0
引用数:
0
h-index:
0
SHEN, YY
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,
1991,
326
(01)
: 179
-
209
[24]
On the size of determinants in the class number formulae of cyclotomic function fields
Aoyama, Daiki
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Toyama, Grad Sch Sci & Engn Educ, 3190 Gofuku, Toyama, Toyama 9308555, Japan
Univ Toyama, Grad Sch Sci & Engn Educ, 3190 Gofuku, Toyama, Toyama 9308555, Japan
Aoyama, Daiki
Kimura, Iwao
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Toyama, Dept Math, Fac Sci, 3190 Gofuku, Toyama, Toyama 9308555, Japan
Univ Toyama, Grad Sch Sci & Engn Educ, 3190 Gofuku, Toyama, Toyama 9308555, Japan
Kimura, Iwao
JSIAM LETTERS,
2020,
12
: 17
-
20
[25]
ON THE CLASS-NUMBER OF THE MAXIMAL REAL SUBFIELD OF A CYCLOTOMIC FIELD
Hoque, Azizul
论文数:
0
引用数:
0
h-index:
0
机构:
Gauhati Univ, Dept Math, Gauhati 781014, India
Gauhati Univ, Dept Math, Gauhati 781014, India
Hoque, Azizul
Saikia, Helen K.
论文数:
0
引用数:
0
h-index:
0
机构:
Gauhati Univ, Dept Math, Gauhati 781014, India
Gauhati Univ, Dept Math, Gauhati 781014, India
Saikia, Helen K.
Quaestiones Mathematicae,
2016,
39
(07)
: 889
-
894
[26]
On generalized Mersenne Primes and class-numbers of equivalent quadratic fields and cyclotomic fields
Hoque A.
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Gauhati University, Guwahati
Department of Mathematics, Gauhati University, Guwahati
Hoque A.
Saikia H.K.
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Gauhati University, Guwahati
Department of Mathematics, Gauhati University, Guwahati
Saikia H.K.
SeMA Journal,
2015,
67
(1)
: 71
-
75
[27]
Form Class Groups and Class Fields of CM-Fields
Ho Yun Jung
论文数:
0
引用数:
0
h-index:
0
机构:
Dankook University,Department of Mathematics
Ho Yun Jung
Ja Kyung Koo
论文数:
0
引用数:
0
h-index:
0
机构:
Dankook University,Department of Mathematics
Ja Kyung Koo
Dong Hwa Shin
论文数:
0
引用数:
0
h-index:
0
机构:
Dankook University,Department of Mathematics
Dong Hwa Shin
论文数:
引用数:
h-index:
机构:
Dong Sung Yoon
Results in Mathematics,
2023,
78
[28]
Form Class Groups and Class Fields of CM-Fields
Jung, Ho Yun
论文数:
0
引用数:
0
h-index:
0
机构:
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Jung, Ho Yun
Koo, Ja Kyung
论文数:
0
引用数:
0
h-index:
0
机构:
Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 34141, South Korea
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Koo, Ja Kyung
Shin, Dong Hwa
论文数:
0
引用数:
0
h-index:
0
机构:
Hankuk Univ Foreign Studies, Dept Math, Yongin 17035, Gyeonggi Do, South Korea
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Shin, Dong Hwa
Yoon, Dong Sung
论文数:
0
引用数:
0
h-index:
0
机构:
Pusan Natl Univ, Dept Math Educ, Busan 46241, South Korea
Dankook Univ, Dept Math, Cheonan Si 31116, Chungnam, South Korea
Yoon, Dong Sung
RESULTS IN MATHEMATICS,
2023,
78
(01)
[29]
Bounds for frequencies of class groups of real quadratic genus 1 function fields
Friesen, C
论文数:
0
引用数:
0
h-index:
0
机构:
Ohio State Univ Marion, Marion, OH 43302 USA
Ohio State Univ Marion, Marion, OH 43302 USA
Friesen, C
ACTA ARITHMETICA,
2001,
96
(04)
: 313
-
331
[30]
On units of real triquadratic fields and the second 2-class group of certain cyclotomic Z2-extensions
Jerrari, Idriss
论文数:
0
引用数:
0
h-index:
0
机构:
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Jerrari, Idriss
Sbai, Abdellah
论文数:
0
引用数:
0
h-index:
0
机构:
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Sbai, Abdellah
Azizi, Abdelmalek
论文数:
0
引用数:
0
h-index:
0
机构:
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
SupMTI, Oujda, Morocco
Mohammed Premier Univ, Fac Sci, Dept Math, Oujda, Morocco
Azizi, Abdelmalek
RAMANUJAN JOURNAL,
2025,
67
(02)
←
1
2
3
4
5
→