What question did this study set out to answer?

March 30, 2026Open Access

An Unconditional Proof of the Birch and Swinnerton–Dyer Conjecture over Q

View Full Paper

Ask AI

Bookmark

The aim is to provide a complete and unconditional proof of the Birch and Swinnerton-Dyer conjecture for elliptic curves over the rational numbers.
Constructed as a modular framework combining various mathematical theories.
Utilized existing results without relying on unproven assumptions.
Incorporated aspects of modularity, Euler systems, and Selmer theory.
Demonstrated that analytic rank equals algebraic rank for elliptic curves.
Proved the finiteness of the Shafarevich-Tate group.
Verified the full Birch and Swinnerton-Dyer formula for all relevant arithmetic invariants.

No takes yet. Share an insight, caveat, or question.

This research proves the Birch and Swinnerton-Dyer conjecture for elliptic curves, indicating foundational implications for number theory.

Anna Ivanova Paseva (2025) studied this question.

View Full Paper

Ask AI

Bookmark

This research proves the Birch and Swinnerton-Dyer conjecture for elliptic curves, indicating foundational implications for number theory.