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On the representation of integers with large square factors by positive definite ternary quadratic forms

Published online by Cambridge University Press:  26 February 2010

A. G. Earnest
A. G. Earnest
Affiliation:
Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901, U.S.A.
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Abstract

It is proved here that, if G is a positive definite integral ternary quadratic lattice of discriminant d and c is a squarefree integer which is primitively represented by the genus of G, then G primitively represents all sufficiently large integers of the type ct2, with g.c.d. (t, 2d) = 1, which are primitively represented by the spinor genus of G.

Type
Research Article
Information
Mathematika , Volume 31 , Issue 2 , December 1984 , pp. 252 - 257
Copyright
Copyright © University College London 1984

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