Results 41 to 50 of about 4,714,881 (83)
An interesting family of curves of genus 1
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 431-434, 2000., 2000 We study the family of elliptic curves y2 = x3 − t2x + 1, both over ℚ(t) and over ℚ. In the former case, all integral solutions are determined; in the latter case, computation in the range 1 ≤ t ≤ 999 shows large ranks are common, giving a particularly simple example of curves which (admittedly over a small range) apparently contradict the once held ...
Andrew Bremner
wiley +1 more source
Elliptic Curves over Totally Real Cubic Fields are Modular [PDF]
, 2019 We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic curves over real quadratic fields, as well as recent breakthroughs due to
Derickx, Maarten +2 more
core +2 more sources
BMC Primary Care, 2022 Background Polypharmacy and associated potentially inappropriate prescribing (PIP) place a considerable burden on patients and represent a challenge for general practitioners (GPs).
Aisling Croke +5 more
semanticscholar +1 more source
Criteria for irreducibility of mod p representations of Frey curves [PDF]
, 2014 Let K be a totally real Galois number field and let A be a set of elliptic curves over K. We give sufficient conditions for the existence of a finite computable set of rational primes P such that for p not in P and E in A, the representation on E[p] is ...
Freitas, Nuno, Siksek, Samir
core +3 more sources
BMC Primary Care, 2022 Background Empirical evidence on patients’ trust and the factors among primary care institutions (PCIs) in China is limited. This study aimed to investigate patients’ trust and explore some associated factors among PCIs in the central region of China ...
Liqing Li +12 more
semanticscholar +1 more source
, 2018 We prove that there exist infinitely many rationals a, b and c with the property that a^2-1, b^2-1, c^2-1, ab-1, ac-1 and bc-1 are all perfect squares.
Dujella, Andrej +3 more
core +3 more sources
BMC Primary Care, 2022 Background Over 100 million Americans have chronic pain and most obtain their treatment in primary care clinics. However, evidence-based behavioral treatments targeting pain-related disability are not typically provided in these settings. Therefore, this
K. Kanzler +14 more
semanticscholar +1 more source
On Serre's uniformity conjecture for semistable elliptic curves over totally real fields [PDF]
, 2015 Let $K$ be a totally real field, and let $S$ be a finite set of non-archimedean places of $K$. It follows from the work of Merel, Momose and David that there is a constant $B_{K,S}$ so that if $E$ is an elliptic curve defined over $K$, semistable outside
Anni, Samuele, Siksek, Samir
core +4 more sources
BMC Primary Care, 2022 Background At the onset of COVID-19, there was a rapid expansion of telehealth (video/telephone) visits to maintain delivery of primary care (PC) services at the Veterans Health Administration (VA).
C. Der-Martirosian +8 more
semanticscholar +1 more source
BMC Primary Care, 2022 Background In March 2020, Canada implemented restrictions to curb viral transmission of COVID-19, which resulted in abrupt disruptions to conventional (in-person) clinical care.
A. Singer +11 more
semanticscholar +1 more source