Cristian Virdol
Abstract
Open-access reader
In this paper we prove that if the Birch and Swinnerton-Dyer conjecture holds for products of a finite number of modular elliptic curves defined over totally real number fields, then the Birch and Swinnerton-Dyer conjecture holds for products of a finite number of elliptic curves defined over totally real number fields.
OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper we prove that if the Birch and Swinnerton-Dyer conjecture holds for products of a finite number of modular elliptic curves defined over totally real number fields, then the Birch and Swinnerton-Dyer conjecture holds for products of a finite number of elliptic curves defined over totally real number fields.
Key concepts: Conjecture, Mathematics, Elliptic curve, Modular form, Pure mathematics, Combinatorics