arXiv (All)
open access
Higher Reciprocity, Cassels Pairings, and Selmer Towers for the 3/5 Congruent Number Problem
We study the arithmetic of the elliptic curves \[ A_m:y^2=x(x-m)(x+4m) \] attached to the $3/5$ congruent number problem. A difference of ternary representation numbers controls the relevant central $L$-values. For $p\equiv11\pmod{40}$ the ordinary Cassels pairing degenerates; we construct an expl
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Finite-slope p-adic L-functions for $\mathrm{GL}_{3}$#1144506
- Triple divisor type functions in arithmetic progressions to prime power moduli#1122711
- The largest cap in AG(4,4) and its uniqueness#1048220
- On Vojta's harder implication, height inequalities for admissible pairs, points of bounded degree and Deligne-Mumford stacks#1131142
- 105 families of Fano threefolds in positive characteristic#1064486
Record · ID 1049160
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive