Results 31 to 39 of about 548 (39)

Poisson distribution of a prime counting function corresponding to elliptic curves

open access: yes, 2016
Let $E$ be an elliptic curve defined over rational field $\mathbb{Q}$ and $N$ be a positive integer. Now, $M_E(N)$ denotes the number of primes $p$, such that the group $E_p(\mathbb{F}_p)$ is of order $N$.
Balasubramanian, R., Giri, Sumit
core   +1 more source

Sums of two biquadrates and elliptic curves of rank $\geq 4$ [PDF]

open access: yes, 2012
If an integer $n$ is written as a sum of two biquadrates in two different ways, then the elliptic curve $y^2=x^3-nx$ has rank $\geq 3$. If moreover $n$ is odd and the parity conjecture is true, then it has even rank $\geq 4$.
Izadi, F. A., Khoshnam, F., Nabardi, K.
core  

A new family of elliptic curves with positive ranks arising from the Heron triangles [PDF]

open access: yes, 2010
The aim of this paper is to introduce a new family of elliptic curves with positive ranks. These elliptic curves have been constructed with certain rational numbers, namely a, b, and c as sides of Heron triangles having rational areas $k$.
Izadi, F. A.   +2 more
core  

Orienteering with One Endomorphism. [PDF]

open access: yesMathematica (N Y), 2023
Arpin S   +5 more
europepmc   +1 more source

HERON QUADRILATERALS VIA ELLIPTIC CURVES. [PDF]

open access: yesRocky Mt J Math, 2017
Izadi F, Khoshnam F, Moody D.
europepmc   +1 more source

Genetic snapshots of the Rhizobium species NGR234 genome. [PDF]

open access: yesGenome Biol, 2000
Viprey V   +3 more
europepmc   +1 more source

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