1976/06/01 by Michael Rosen · 1 citation
Computer Science · Mathematics · #Abelian group #Algebraic Geometry and Number Theory #Class (philosophy) #Computer science #Countable set #Cryptography and Residue Arithmetic #Dedekind cut #Dedekind eta function #Dedekind sum #Domain (mathematical analysis) #Elliptic curve #Group (periodic table) #Mathematical analysis #Mathematics #Modular form #Physics #Pure mathematics
paper · pdf · doi:10.2307/2041187
openalex publication_date 1976/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Some results are obtained on the group of rational points on elliptic curves over infinite algebraic number fields. A certain naturally defined class of Dedekind domains, elliptic Dedekind domains, are described and it is shown that every countable abelian group can be realized as the class group of an elliptic Dedekind domain.