Yayın: A relation between embedding degrees and class numbers of binary quadratic forms
| dc.contributor.author | Ling, San | |
| dc.contributor.author | Ozdemir, Enver | |
| dc.contributor.author | Xing, Chaoping | |
| dc.date.accessioned | 2026-01-25T00:29:19Z | |
| dc.date.issued | 2014-05-09 | |
| dc.description.abstract | <p>In this paper, we describe a relation between the embedding degree of an elliptic curve over a prime field <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper F Subscript p"> <mml:semantics> <mml:msub> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">F</mml:mi> </mml:mrow> <mml:mi>p</mml:mi> </mml:msub> <mml:annotation encoding="application/x-tex">\mathbb {F}_p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and the inertial degree of the primes above <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p"> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding="application/x-tex">p</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in a certain ring class field. From this relation, we conclude that the embedding degree divides the class number of a group of binary quadratic forms of a fixed discriminant.</p> | |
| dc.description.uri | https://doi.org/10.1090/s0025-5718-2014-02831-7 | |
| dc.description.uri | https://www.ams.org/mcom/2014-83-290/S0025-5718-2014-02831-7/S0025-5718-2014-02831-7.pdf | |
| dc.description.uri | https://zbmath.org/6342388 | |
| dc.description.uri | https://doi.org/10.1090/S0025-5718-2014-02831-7 | |
| dc.description.uri | https://dx.doi.org/10.1090/s0025-5718-2014-02831-7 | |
| dc.description.uri | https://hdl.handle.net/10356/107298 | |
| dc.description.uri | http://hdl.handle.net/10220/25439 | |
| dc.identifier.doi | 10.1090/s0025-5718-2014-02831-7 | |
| dc.identifier.eissn | 1088-6842 | |
| dc.identifier.endpage | 3004 | |
| dc.identifier.issn | 0025-5718 | |
| dc.identifier.openaire | doi_dedup___::3fb708f890d4f50a3ef46c174ed70a45 | |
| dc.identifier.orcid | 0000-0002-1978-3557 | |
| dc.identifier.orcid | 0000-0002-1257-1033 | |
| dc.identifier.startpage | 3001 | |
| dc.identifier.uri | https://hdl.handle.net/11527/40926 | |
| dc.identifier.volume | 83 | |
| dc.language.iso | eng | |
| dc.publisher | American Mathematical Society (AMS) | |
| dc.relation.ispartof | Mathematics of Computation | |
| dc.rights | OPEN | |
| dc.sdg.type | Goal 4: Quality Education | |
| dc.subject | Quadratic extensions | |
| dc.subject | class number | |
| dc.subject | embedding degree | |
| dc.subject | Curves over finite and local fields | |
| dc.subject | Elliptic curves over global fields | |
| dc.subject | imaginary quadratic fields | |
| dc.subject | :Science::Physics::Atomic physics::Quantum theory [DRNTU] | |
| dc.subject | elliptic curves | |
| dc.subject | Class numbers, class groups, discriminants | |
| dc.title | A relation between embedding degrees and class numbers of binary quadratic forms | |
| dc.type | Article | |
| dspace.entity.type | Publication |