Results 21 to 30 of about 53 (45)

Average Analytic Ranks of Elliptic Curves over Number Fields

open access: yesForum of Mathematics, Sigma
We give a conditional bound for the average analytic rank of elliptic curves over an arbitrary number field. In particular, under the assumptions that all elliptic curves over a number field K are modular and have L-functions which satisfy the ...
Tristan Phillips
doaj   +1 more source

New solutions to Euler's quartic conjecture

open access: yesJournal of Computational Algebra
In 1986, Elkies disproved Euler's conjecture for fourth powers by demonstrating that the equation A 4 + B 4 + C 4 = D 4 has infinitely many integer solutions, using a method based on hyperelliptic curves.
Joseph Tonien
doaj   +1 more source

Bounding the Elliptic Mahler Measure

open access: yes, 1997
We give a simple inequality relating the elliptic Mahler measure of a polynomial to the traditional Mahler measure (via the length of the polynomial). These bounds are essentially sharp.
Christopher Pinner, Chris Pinner
core  

Orienteering with One Endomorphism. [PDF]

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

An Elementary Proof of the Mazur-Tate-Teitelbaum Conjecture for Elliptic Curves

open access: yes
We give an elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves by using Kato’s element.Dedicated to Professor John Coates on the occasion of his sixtieth birthdayExtra Vol., John H.
小林, 真一   +2 more
core  

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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