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On the region defined by | xy | ≤ 1, x2 + y2 ≤ t
| Content Provider | Scilit |
|---|---|
| Author | Ollerenshaw, Kathleen |
| Copyright Year | 1953 |
| Description | In this paper I find the critical lattices of the region $K_{t}$ defined by the inequalities | xy | ≤ 1, $x^{2}$ + $y^{2}$ ≤ t (t > 0). I deduce in §9 the arithmetic minima of a pair of binary quadratic forms where $f_{1}$ is indefinite, $f_{2}$ is positive definite, and $f_{1}$, $f_{2}$ are harmonically related, that is to say and |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/BE7C25AEC82A67D472A0FCA82F7A23DC/S030500410002805Xa.pdf/div-class-title-on-the-region-defined-by-span-class-italic-xy-span-1-span-class-italic-x-span-span-class-sup-2-span-span-class-italic-y-span-span-class-sup-2-span-span-class-italic-t-span-div.pdf |
| Ending Page | 71 |
| Page Count | 9 |
| Starting Page | 63 |
| ISSN | 03050041 |
| e-ISSN | 14698064 |
| DOI | 10.1017/s030500410002805x |
| Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
| Issue Number | 1 |
| Volume Number | 49 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1953-01-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Proceedings of the Cambridge Philosophical Society Condensed Matter Physics Mathematical Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
