Results 71 to 80 of about 4,714,881 (83)

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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On the extension of even families of non-congruent numbers

Rendiconti del Seminario Matematico della Universita di Padova, 2022
A method that extends existing families of even non-congruent numbers to produce new families of non-congruent numbers with arbitrarily many distinct prime factors is presented.
L. Reinholz, Qiduan Yang
semanticscholar   +1 more source

Recurrence Relations for Elliptic Sequences: Every Somos 4 is a Somos k

, 2004
In his celebrated memoir, Morgan Ward's definition of elliptic divisibility sequences has the remarkable feature that it does not become at all clear until deep into the paper that there exist nontrivial examples of such sequences.
A. J. Van Der Poorten, Christine Swart
semanticscholar   +1 more source

The main conjecture of Iwasawa theory for elliptic curves with complex multiplication over abelian extensions at supersingular primes

, 2017
Let E be an elliptic curve over an abelian extension F of an imaginary quadratic field K with complex multiplication by K. Let p be a prime number inert over K/Q (i.e. supersingular for E).
Byoung Du Kim, Jeehoon Park
semanticscholar   +1 more source

Selmer Groups and Congruences

, 2011
We first introduce Selmer groups for elliptic curves, and then Selmer groups for Galois representations. The main topic of the article concerns the behavior of Selmer groups for Galois representations with the same residual representation.
R. Greenberg
semanticscholar   +1 more source

Good and Bad Uses of Elliptic Curves in Cryptography

, 2002
In the first part of this article I describe the construction of cryptosystems using elliptic curves, discuss the Elliptic Curve Discrete Logarithm Problem (upon which the security of all elliptic curve cryptosystems rests), and survey the different ...
N. Koblitz
semanticscholar   +1 more source

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