Introductory remarks on complex multiplication
Complex multiplication in its simplest form is a geometric tiling property. In its advanced form it is a unifying motivation of classical mathematics from elliptic integrals to number theory; and it is still of active interest. This interrelation is explored in an introductory expository fashion wit...
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| Format: | Article |
| Language: | English |
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Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171282000623 |
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| _version_ | 1832566137401901056 |
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| author | Harvey Cohn |
| author_facet | Harvey Cohn |
| author_sort | Harvey Cohn |
| collection | DOAJ |
| description | Complex multiplication in its simplest form is a geometric tiling property. In its advanced form it is a unifying motivation of classical mathematics from elliptic integrals to number theory; and it is still of active interest. This interrelation is explored in an introductory expository fashion with emphasis on a central historical problem, the modular equation between j(z) and j(2z). |
| format | Article |
| id | doaj-art-6d575c0bc7444d3182afee3e16b1ea2f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6d575c0bc7444d3182afee3e16b1ea2f2025-02-03T01:04:54ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015467569010.1155/S0161171282000623Introductory remarks on complex multiplicationHarvey Cohn0Department of Mathematics, City College of New York, New York, N.Y. 10023, USAComplex multiplication in its simplest form is a geometric tiling property. In its advanced form it is a unifying motivation of classical mathematics from elliptic integrals to number theory; and it is still of active interest. This interrelation is explored in an introductory expository fashion with emphasis on a central historical problem, the modular equation between j(z) and j(2z).http://dx.doi.org/10.1155/S0161171282000623complex multiplicationclass numberelliptic integralsmodular functionsmodular equation. |
| spellingShingle | Harvey Cohn Introductory remarks on complex multiplication International Journal of Mathematics and Mathematical Sciences complex multiplication class number elliptic integrals modular functions modular equation. |
| title | Introductory remarks on complex multiplication |
| title_full | Introductory remarks on complex multiplication |
| title_fullStr | Introductory remarks on complex multiplication |
| title_full_unstemmed | Introductory remarks on complex multiplication |
| title_short | Introductory remarks on complex multiplication |
| title_sort | introductory remarks on complex multiplication |
| topic | complex multiplication class number elliptic integrals modular functions modular equation. |
| url | http://dx.doi.org/10.1155/S0161171282000623 |
| work_keys_str_mv | AT harveycohn introductoryremarksoncomplexmultiplication |