Bell, E. T. (1928) Remark on the number of classes of binary quadratic forms of a given negative determinant. Proceedings of the National Academy of Sciences of the United States of America, 14 (5). pp. 430-431. ISSN 0027-8424. https://resolver.caltech.edu/CaltechAUTHORS:BELpnas28a
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Abstract
On p. 254 of Mathews' "Theory of Numbers," Part I, 1892 (all that was published), we find the following clear statement of a desideratum that has often been expressed. "... leads to the conclusion that in the series 1, 2, 3, ... (p-1)/2 (p is an odd prime), there are more quadratic residues of p than non-residues. It does not appear that any independent proof of this proposition has ever been discovered. If any such proof could be found, it is not impossible that it might lead to a determination of h (the number of classes described in the title of this note) without the use of infinite series. Similar remarks apply to the other formulae for negative determinants."
| Item Type: | Article | ||||||
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| Additional Information: | Copyright © 1928 by the National Academy of Sciences. Communicated March 31, 1928. | ||||||
| Issue or Number: | 5 | ||||||
| Record Number: | CaltechAUTHORS:BELpnas28a | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:BELpnas28a | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 4607 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 30 Aug 2006 | ||||||
| Last Modified: | 02 Oct 2019 23:14 |
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