Some families of non-congruent numbers
Work
Year: 2003
Type: article
Abstract: In this article we study the Tate-Shafarevich groups corresponding to 2-isogenies of the curve E k : y 2 = x(x 2 -k 2 ) and construct infinitely many examples where these groups have odd 2-rank.Our ma... more
Source: Acta Arithmetica
Author Franz Lemmermeyer
Institution California State University, San Marcos
Cites: 37
Cited by: 10
Related to: 10
FWCI: 1.069
Citation percentile (by year/subfield): 69.49
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Sustainable Development Goal Reduced inequalities
Open Access status: bronze