A collage of results on the divisibility and indivisibility of class numbers of quadratic fields Article Swipe
Srilakshmi Krishnamoorthy
,
Sunil Kumar Pasupulati
,
R. Muneeswaran
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2311.08710
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2311.08710
The investigation of the ideal class group $Cl_K$ of an algebraic number field $K$ is one of the key subjects of inquiry in algebraic number theory since it encodes a lot of arithmetic information about K. There is a considerable amount of research on many topics linked to quadratic field class groups notably intriguing aspect is the divisibility of the class numbers. This article discusses a few recent results on the divisibility of class numbers and the Izuka conjecture. We also discuss the quantitative aspect of the Izuka conjecture.
Related Topics
Concepts
Divisibility rule
Conjecture
Mathematics
Class (philosophy)
Ideal class group
Class field theory
Class number
Algebraic number
Field (mathematics)
Ideal (ethics)
Quadratic equation
Pure mathematics
Algebraic number theory
Key (lock)
Discrete mathematics
Combinatorics
Algebra over a field
Computer science
Mathematical analysis
Geometry
Philosophy
Artificial intelligence
Epistemology
Computer security
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2311.08710
- https://arxiv.org/pdf/2311.08710
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4388748019
All OpenAlex metadata
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https://openalex.org/W4388748019Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2311.08710Digital Object Identifier
- Title
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A collage of results on the divisibility and indivisibility of class numbers of quadratic fieldsWork title
- Type
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preprintOpenAlex work type
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enPrimary language
- Publication year
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2023Year of publication
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2023-11-15Full publication date if available
- Authors
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Srilakshmi Krishnamoorthy, Sunil Kumar Pasupulati, R. MuneeswaranList of authors in order
- Landing page
-
https://arxiv.org/abs/2311.08710Publisher landing page
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https://arxiv.org/pdf/2311.08710Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2311.08710Direct OA link when available
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Divisibility rule, Conjecture, Mathematics, Class (philosophy), Ideal class group, Class field theory, Class number, Algebraic number, Field (mathematics), Ideal (ethics), Quadratic equation, Pure mathematics, Algebraic number theory, Key (lock), Discrete mathematics, Combinatorics, Algebra over a field, Computer science, Mathematical analysis, Geometry, Philosophy, Artificial intelligence, Epistemology, Computer securityTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.recent | 67 |
| abstract_inverted_index.theory | 25 |
| abstract_inverted_index.topics | 45 |
| abstract_inverted_index.article | 63 |
| abstract_inverted_index.discuss | 81 |
| abstract_inverted_index.encodes | 28 |
| abstract_inverted_index.inquiry | 21 |
| abstract_inverted_index.notably | 52 |
| abstract_inverted_index.numbers | 74 |
| abstract_inverted_index.results | 68 |
| abstract_inverted_index.numbers. | 61 |
| abstract_inverted_index.research | 42 |
| abstract_inverted_index.subjects | 19 |
| abstract_inverted_index.algebraic | 10, 23 |
| abstract_inverted_index.discusses | 64 |
| abstract_inverted_index.quadratic | 48 |
| abstract_inverted_index.arithmetic | 32 |
| abstract_inverted_index.intriguing | 53 |
| abstract_inverted_index.conjecture. | 78, 88 |
| abstract_inverted_index.information | 33 |
| abstract_inverted_index.considerable | 39 |
| abstract_inverted_index.divisibility | 57, 71 |
| abstract_inverted_index.quantitative | 83 |
| abstract_inverted_index.investigation | 1 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/10 |
| sustainable_development_goals[0].score | 0.4099999964237213 |
| sustainable_development_goals[0].display_name | Reduced inequalities |
| citation_normalized_percentile |