English

The Conway-Sloane calculus for 2-adic lattices

Number Theory 2020-05-06 v3

Abstract

We motivate and explain the system introduced by Conway and Sloane for working with quadratic forms over the 2-adic integers, and prove its validity. Their system is far better for actual calculations than earlier methods, and has been used for many years, but no proof has been published before now.

Cite

@article{arxiv.1511.04614,
  title  = {The Conway-Sloane calculus for 2-adic lattices},
  author = {Daniel Allcock and Itamar Gal and Alice Mark},
  journal= {arXiv preprint arXiv:1511.04614},
  year   = {2020}
}

Comments

Final revisions

R2 v1 2026-06-22T11:45:22.927Z