Higher Descent on Pell Conics I. From Legendre to Selmer
Franz Lemmermeyer
Abstract
This article deals with the history of certain aspects of the Pell equation X2 - D y2 = 4. We briefly discuss explicit units, and then study the history of Legendre's equations ax2 - b y2 = 4 with ab=D.
Create a lesson
Related papers
Unit fraction representations using shifted Golomb primes
Rishika Agrawal
Improved deterministic integer factorization by quadratic-image sieving
Pantelimon Stănică
Private key sieves for improved attacks on RSA
Markus Hittmeir
Multiple q-zeta values as polynomials in partition multiplicities
Jan-Willem M. van Ittersum
Hopf-Galois Structures on Extensions Arising from Division Points on Elliptic Curves
Leolin Nkuete
Certified Collision Exclusion and an Unconditional Upper Bound Λ<0.156821 for the de Bruijn--Newman Constant
Michel Planat, Dale James Raymond