Cube sum problem for integers having exactly two distinct prime factors
From MaRDI portal
Publication:6185332
DOI10.1007/s12044-023-00757-zzbMath1528.11042arXiv2211.17118OpenAlexW4389204348MaRDI QIDQ6185332
Pratiksha Shingavekar, Dipramit Majumdar
Publication date: 8 January 2024
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.17118
Elliptic curves over global fields (11G05) Elliptic curves (14H52) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Cubic and quartic Diophantine equations (11D25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonvanishing of \(L\)-series associated to cubic twists of elliptic curves
- Un analogue du calcul de Heegner. (An analogue of the Heegner calculus)
- A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial
- The parity of the rank of the Mordell-Weil group
- The Diophantine equation \(ax^3+by^3+cz^3=0\)
- Cube sums of the forms \(3p\) and \(3p^2\). II
- Cube sum problem and an explicit Gross-Zagier formula
- How to do a 𝑝-descent on an elliptic curve
- Cyclic cubic extensions of ℚ
- The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k
- On the $8$ case of the Sylvester conjecture
This page was built for publication: Cube sum problem for integers having exactly two distinct prime factors