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An extended inhomogeneous minimum
Published online by Cambridge University Press: 09 April 2009
Abstract
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A new arithmetic invariant E(f) is defined for integral binary quadratic forms f. It has the property that, denoting by fm the norm-form of a quadratic number field Q(
m), E(fm) < 1 if and only if Q(m) has class number one.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 22 , Issue 4 , December 1976 , pp. 431 - 441
- Copyright
- Copyright © Australian Mathematical Society 1976
References
Davenport, H., (1946) ‘Non-homogeneous binary quadratic forms’, Proc. K. Ned. Akad. van Wet. 49, 815–821.Google Scholar
Pollard, H., (1950) The theory of algebraic numbers (Math. Association of America, New York, 1950).Google Scholar
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