Results 201 to 210 of about 16,319,095 (224)

Advances in Indium Antimonide Materials and Devices: Synthesis, Engineering, and Emerging Applications. [PDF]

open access: yesChem Rec
Wang J   +9 more
europepmc   +1 more source

The local-global principle for divisibility in CM elliptic curves over number fields. [PDF]

open access: yes, 2022
We investigate the local-global principle for divisibility by pn in elliptic curves over number fields. For p = 7 we find that the local-global principle for divisibility by pn holds for all n ∈ N for elliptic curves over quadratic fields, but could fail for some elliptic curves over cubic fields. We also extend to the result to certain elliptic curves
Lu, Sheng (Victor)
openaire   +3 more sources

Height estimates for elliptic curves in short Weierstraß form over global fields and a comparison

Archiv der Mathematik, 2001
Let \(K\) be a global field and denote by \({\mathcal M}_K\) the set of pairwise inequivalent absolute values \(v\) of \(K\) satisfying the sum formula \(\sum_{v \in {\mathcal M}_K} \lambda_v v(z) = 0\) for all \(z \in K^*\) with multiplicities \(\lambda_v\). Let \(E: Y^2 = X^3 + aX + b\) be an elliptic curve over \(K\).
Zimmer, Horst G., Schmitt, Susanne
openaire   +4 more sources

ON PAIRINGS IN ELLIPTIC CURVES OVER GLOBAL FIELDS

Mathematics of the USSR-Izvestiya, 1978
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Elliptic Curves over Global Fields and ℓ-Adic Representations

1987
In the previous two chapters the local study of elliptic curves was carried out and a substantial part of the theory was related to how the fundamental symmetry, the Frobenius element, behaved on the curve modulo a prime. For an elliptic curve E over a number field K (or more generally any global field), we have for each prime a Frobenius element ...
openaire   +1 more source

The Local-Global Principle for Divisibility in CM Elliptic Curves

Journal of Number Theory, 2023
Brendan Matthew Creutz
exaly  

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