In August 2024, mathematicians Noam Elkies and Zev Klagsbrun discovered an elliptic curve with a rank of at least 29, surpassing the previous record of 28 set in 2006.
- Elliptic Curves: These are equations of the form y² = x³ + Ax + B, where A and B are rational numbers. They have a rich structure and are central to various areas of mathematics, including number theory and cryptography.
- Rational Points: Solutions to these equations where both x and y are rational numbers. The set of all rational points on an elliptic curve forms a group under a defined addition operation.
- Rank of an Elliptic Curve: This refers to the number of independent families of rational points on the curve. A higher rank indicates a more complex structure of rational points.
- Significance of the Discovery: The discovery of a rank 29 curve challenges existing conjectures about the possible ranks of elliptic curves and opens new avenues for research in number theory.
Math Scientist Awards
Visit our page : https://mathscientists.com/
Nominations page : https://mathscientists.com/award-nomination/?ecategory=Awards&rcategory=Awardee
Get Connects Here:
========================
Youtube: https://youtube.com/@maths-groot?si=QgHvOhb5caP1yDMy
Instagram: https://www.instagram.com/
Blogger: https://mathsgroot03.blogspot.com/
Twitter: https://x.com/mathsgroot03
Tumblr: https://www.tumblr.com/mathscientists
No comments:
Post a Comment