Results 211 to 220 of about 15,705,034 (244)

Simulation Models for Exploring Magnetic Reconnection. [PDF]

Space Sci Rev
Shay M, Adhikari S, Beesho N, Birn J, Büchner J, Cassak P, Chen LJ, Chen Y, Cozzani G, Drake J, Guo F, Hesse M, Jain N, Pfau-Kempf Y, Lin Y, Liu YH, Oka M, Omelchenko Y, Palmroth M, Pezzi O, Reiff PH, Swisdak M, Toffoletto F, Toth G, Wolf RA.   +24 more
europepmc   +1 more source

Integrating Blockchain Traceability and Deep Learning for Risk Prediction in Grain and Oil Food Safety. [PDF]

Foods
Ge H, Fan K, Zhang Y, Jiang Y, Wang S, Chen Z.   +5 more
europepmc   +1 more source

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ON PAIRINGS IN ELLIPTIC CURVES OVER GLOBAL FIELDS

Mathematics of the USSR-Izvestiya, 1978
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O. Vvedenskii
semanticscholar   +5 more sources

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

, 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

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 ...
D. Husemoller
semanticscholar   +2 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 \(K\).
H. Zimmer, S. Schmitt
semanticscholar   +3 more sources

Tamagawa numbers of elliptic curves with torsion points

Archiv der Mathematik, 2022
Let K be a global field and let E/K be an elliptic curve with a K-rational point of prime order p. In this paper, we are interested in how often the (global) Tamagawa number c(E/K) of E/K is divisible by p.
Mentzelos Melistas
semanticscholar   +1 more source

On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility

International Journal of Number Theory, 2020
We investigate some aspects of the [Formula: see text]-division field [Formula: see text], where [Formula: see text] is an elliptic curve defined over a field [Formula: see text] with [Formula: see text] and [Formula: see text] is a positive integer ...
R. Dvornicich, Laura Paladino
semanticscholar   +1 more source

On Bhargava’s Heuristics for GL2(𝔽 p )-Number Fields and the Number of Elliptic Curves of Bounded Conductor

Experimental Mathematics, 2016
We propose a modular forms-based model for counting -number fields having the same local properties as the splitting field of the mod p-Galois representation associated with an elliptic curve over the rational numbers.
Michael Lipnowski
semanticscholar   +1 more source

Classification of torsion of elliptic curves over quartic fields

Journal für die Reine und Angewandte Mathematik
Let 𝐸 be an elliptic curve over a quartic field 𝐾. By the Mordell–Weil theorem, E ⁢ ( K ) E(K) is a finitely generated group. We determine all the possibilities for the torsion group E ⁢ ( K ) tors E(K)_{\mathrm{tors}} , where 𝐾 ranges over all quartic ...
Maarten Derickx, Filip Najman
semanticscholar   +1 more source