Diese Seite ist nur auf Englisch verfügbar.
Seminar des SFB/TRR 326 GAUS Some cases of cube sum problem
- Termin in der Vergangenheit
- Freitag, 24. Oktober 2025, 13:30 Uhr
- INF 205, SR A
- Ass. Prof. Dipramit Majumdar (IIT Madras / University Heidelberg)
Adresse
INF 205, SR A
Livestream
Veranstalter
Prof. Dr. Otmar Venjakob
Veranstaltungstyp
Vortrag
An integer n is said to be a rational cube sum or simply a cube sum if n can be written as a sum of cubes of two rational numbers. For example, 6 = (17/21)3 + (37/21)3. A cube-free integer n > 2 is a cube sum if and only if the elliptic curve y2 = x3 - 432n2 has infinitely many solutions over the rational numbers. A recent result of Alpöge-Bhargava-Shnidman-Burungale-Skinner shows that a positive proportion of integers are cube sums and a positive proportion of integers are not.
We will discuss the cube sum problem for some special family of integers. This talk is based on joint works with De, Jha, Mondal, Shingavekar and Sury.