@inbook{10.4169/j.ctt5hh98f.5,
ISBN = {9780883851395},
URL = {http://www.jstor.org/stable/10.4169/j.ctt5hh98f.5},
abstract = {It turns out to be the case that the criteria for congruence and representation of numbers by forms with rational coefficients can be reduced to consideration of like problems for forms withp-adic coefficients. As was stated in the introduction, the results of this chapter could be stated largely as Minkowski gave them in terms of congruences. Pall has done just this. But since the gain in their introduction seems to justify such treatment, we prove our results in terms ofp-adic numbers.Forpa prime number, we define ap-adic numberto be any formal series(3)$\alpha = {\alpha _{ - r}}{p^{ - r}} + {\alpha _{ - r + 1}}{p^{ - r + 1}} + ... + {\alpha _{ - 1}}{p^{ - 1}} + {\alpha _0} + {\alpha _1}p + {\alpha _2}{p^2} + ...$},
bookauthor = {BURTON W. JONES},
booktitle = {The Arithmetic Theory of Quadratic Forms},
edition = {1},
pages = {17--55},
publisher = {Mathematical Association of America},
title = {FORMS WITH p-ADIC COEFFICIENTS},
volume = {10},
year = {1950}
}