JournalslemVol. 66, No. 1/2pp. 5–31

The Conway–Sloane calculus for 2-adic lattices

  • Daniel Allcock

    University of Texas at Austin, USA

  • Itamar Gal

    University of Texas at Austin, USA

  • Alice Mark

    Vanderbilt University, Nashville, USA
The Conway–Sloane calculus for 2-adic lattices cover

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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 this article

Daniel Allcock, Itamar Gal, Alice Mark, The Conway–Sloane calculus for 2-adic lattices. Enseign. Math. 66 (2020), no. 1/2, pp. 5–31

DOI 10.4171/LEM/66-1/2-2