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| ON THE CONSTRUCTION OF INDECOMPOSABLE POSITIVE DEFINITE QUADRATIC FORMS OVER $Z^{*}$ |
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Citation： |
Zhu fuzu,Shao youyu.ON THE CONSTRUCTION OF INDECOMPOSABLE POSITIVE DEFINITE QUADRATIC FORMS OVER $Z^{*}$[J].Chinese Annals of Mathematics B,1988,9(1):79~94 |
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Net amount： 602 |
Authors： |
Zhu fuzu; Shao youyu |
Foundation： |
Project supported by the natural Science Funds of China. |
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| Abstract： |
The aim of this paper is to construct indecomposable positive definite Z-lattices with given rank n($\[2 \le n \le 9\]$) and discriminant $a$, $a$ being composite and square-free, but for a finite number exceptions. And all exceptional cases for $\[3 \le n \le 9\]$ are determined. These are unsettled cases of a paper of O'Meara in 1975. |
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