Chowla, S. ; Cowlesb, J. ; Cowles, M. (1986) The least prime quadratic residue and the class number Journal of Number Theory, 22 (1). pp. 1-3. ISSN 0022-314X
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002231...
Related URL: http://dx.doi.org/10.1016/0022-314X(86)90026-0
Abstract
For an odd prime p, let l(p) denote the least positive prime which is a quadratic residue modulo p. An elementary proof is given of the following: For p ≡ 3 mod 8 and p > 3, l(p) = (p + 1)/4 iff the class number h(−p) = 1.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 8601 |
| Deposited On: | 28 Oct 2010 11:20 |
| Last Modified: | 05 Dec 2011 04:00 |
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