Primes in Class Fields is a theoretical construct in algebraic number theory that characterizes the splitting behavior and distribution of prime ideals in abelian extensions of number fields, particularly through the framework of class field theory, distinguishing itself by its intrinsic connection to the Artin reciprocity map and the classification of abelian Galois groups via ideal class groups.
16
Publications
747
Citations
19
Authors
17
Institutions
Publications per year
2017–2026
0
Parents
Publications
16
Prime decomposition in the anti-cyclotomic extension
D.M. Brink · Mathematics of Computation · 2007 · 31 citations · Full text
1–5 of 16
Authors
19
- LCLawrence C. Washington
University of Maryland, College Park, United States
2 publications · 25 citations
2
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- JM
2
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- HC
2
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- HC
2
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- ES
2
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1–5 of 19
Institutions
17
University of Manitoba
Winnipeg, Canada
2 h-index
6 publications
75 citations
University of Maryland, College Park
College Park, United States
2 h-index
6 publications
75 citations
Sam Houston State University
Huntsville, United States
1 h-index
1 publications
28 citations
Tsinghua University
Beijing, China
1 h-index
2 publications
44 citations
The University of Tokyo
Tokyo, Japan
1 h-index
1 publications
11 citations
University of Copenhagen
Copenhagen, Denmark
1 h-index
1 publications
31 citations
Columbia College - South Carolina
Columbia, United States
1 h-index
1 publications
12 citations
PLA Information Engineering University
Zhengzhou, China
1 h-index
1 publications
22 citations
1–8 of 17
Venues
- Mathematics of Computation
MCOM · 7 publications · 157 citations
7
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- Acta Arithmetica
1 publications · 12 citations
1
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- Choice Reviews Online
CRO · 1 publications · 393 citations
1
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- International Journal of Number Theory
IJNT · 1 publications · 12 citations
1
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- Computers & Mathematics with Applications
1 publications · 73 citations
1
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1–5