✦ LIBER ✦

Values of Non-homogeneous Indefinite Quadratic Forms

✍ Scribed by V.C. Dumir; R.J. Hansgill; A.C. Woods

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 303 KB
Volume: 47
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1994.1033

No coin nor oath required. For personal study only.

✦ Synopsis

A conjecture of G. L. Watson asserts that the two-sided infimum of the values of a non-homogeneous real indefinite quadratic form in (n) variables, obtained when the variables range over all integral values, is an invariant under the signature modulo 8. There is an analogous conjecture by Bambah, Dumir, and Hans-Gill concerning the one-sided infimum. It is shown how both conjectures follow from the result of Margulis on forms not commensurable with a rational form combined with results of G. L. Watson on rational forms. 1994 Academic Press, Inc.

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