A classification of isogeny‐torsion graphs of Q‐isogeny classes of elliptic curves
Let E be a Q‐isogeny class of elliptic curves defined over Q. The isogeny graph associated to E is a graph which has a vertex for each elliptic curve in the Q‐isogeny class E, and an edge for each cyclic Q‐isogeny of prime degree between elliptic curves ...
Garen Chiloyan, Álvaro Lozano‐Robledo
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Bounded gaps between primes in Chebotarev sets [PDF]
A new and exciting breakthrough due to Maynard establishes that there exist infinitely many pairs of distinct primes p1, p2 with |p1-p2| ≤ 600 as a consequence of the Bombieri-Vinogradov Theorem.
Jesse Thorner
semanticscholar +1 more source
MODULES OVER IWASAWA ALGEBRAS [PDF]
Let $G$ be a compact $p$-valued $p$-adic Lie group, and let $\varLambda(G)$ be its Iwasawa algebra. The present paper establishes results about the structure theory of finitely generated torsion $\varLambda(G)$-modules, up to pseudo-isomorphism, which ...
J. Coates, P. Schneider, R. Sujatha
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Ramification in the division fields of elliptic curves with potential supersingular reduction
Let d≥1 be fixed. Let F be a number field of degree d, and let E/F be an elliptic curve. Let E(F)tors be the torsion subgroup of E(F). In 1996, Merel proved the uniform boundedness conjecture, i.e., there is a constant B(d), which depends on d but not on
Álvaro Lozano‐Robledo
semanticscholar +2 more sources
Different approach on elliptic curves mathematical models study and their applications
In a research project in which a group of mathematical researchers is involved, it was necessary to create a system of nonlinear equations defined over a particular nonsupersingular elliptic space.
Alsaedi Ramzi +2 more
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Torsion subgroups of rational Mordell curves over some families of number fields
Mordell curves over a number field K are elliptic curves of the form y2 = x3 + c, where c ∈ K \ {0}. Let p ≥ 5 be a prime number, K a number field such that [K : ℚ] ∈ {2p, 3p}.
Gužvić Tomislav, Roy Bidisha
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Rank zero elliptic curves induced by rational Diophantine triples [PDF]
Rational Diophantine triples, i.e. rationals a,b,c with the property that ab+1, ac+1, bc+1 are perfect squares, are often used in construction of elliptic curves with high rank. In this paper, we consider the opposite problem and ask how small can be the
Dujella, Andrej, Mikić, Miljen
core +3 more sources
Key recommendations for primary care from the 2022 Global Initiative for Asthma (GINA) update
The Global Initiative for Asthma (GINA) was established in 1993 by the World Health Organization and the US National Heart Lung and Blood Institute to improve asthma awareness, prevention and management worldwide.
M. Levy +18 more
semanticscholar +1 more source
Burnout Related to Electronic Health Record Use in Primary Care
Physician burnout has been increasing in the United States, especially in primary care, and the use of Electronic Health Records (EHRs) is a prominent contributor.
Jeffrey Budd
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The impact of eHealth on relationships and trust in primary care: a review of reviews
Background Given the increasing integration of digital health technologies in team-based primary care, this review aimed at understanding the impact of eHealth on patient-provider and provider-provider relationships.
Meena Ramachandran +4 more
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