Journal article
On class groups of imaginary quadratic fields
- Abstract:
- In this paper, it is proved that one can find imaginary quadratic fields with class number not divisible by a specified prime l and with certain specified splitting conditions at a finite number of primes. Such existence theorems are useful in the arithmetic of elliptic curves and, potentially, also in certain lifting problems for reducible two‐dimensional Galois representations. The methods used are a blend of geometry and the theory of modular forms, especially the trace formula.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
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(Preview, Accepted manuscript, pdf, 335.4KB, Terms of use)
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- Publisher copy:
- 10.1112/jlms/jdv031
Authors
- Publisher:
- Wiley
- Journal:
- Journal of the London Mathematical Society More from this journal
- Volume:
- 92
- Issue:
- 2
- Pages:
- 411-426
- Publication date:
- 2015-10-01
- DOI:
- EISSN:
-
1469-7750
- ISSN:
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0024-6107
- Keywords:
- Pubs id:
-
pubs:665999
- UUID:
-
uuid:120f2970-8027-4bc5-bd93-b72a7fbc91ff
- Local pid:
-
pubs:665999
- Source identifiers:
-
665999
- Deposit date:
-
2016-12-14
Terms of use
- Copyright holder:
- London Mathematical Society
- Copyright date:
- 2015
- Notes:
- © 2015 London Mathematical Society This is the accepted manuscript version of the article. The final version is available online from Wiley at:doi/abs/10.1112/jlms/jdv031
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