Several identities in statistical mechanics
In an earlier paper concerning a solvable Inodel in statistical mechanics, Miwa and Jimbo state a theta-function identity which they have checked to the 200th power, but of which they do not have a proof. The main objective of this note is to provide such a proof.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1994-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294001146 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553331517554688 |
|---|---|
| author | M. D. Hirschhorn |
| author_facet | M. D. Hirschhorn |
| author_sort | M. D. Hirschhorn |
| collection | DOAJ |
| description | In an earlier paper concerning a solvable Inodel in statistical mechanics, Miwa and Jimbo state a theta-function identity which they have checked to the 200th power, but of which they do not have a proof. The main objective of this note is to provide such a proof. |
| format | Article |
| id | doaj-art-62a0b460d89944ac80d9fb7eb6591edd |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-62a0b460d89944ac80d9fb7eb6591edd2025-02-03T05:54:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117481782010.1155/S0161171294001146Several identities in statistical mechanicsM. D. Hirschhorn0Department of Pure Mathematics, University of New South Wales, P.O. Box 1, Kensington, New South Wales 2033, AustraliaIn an earlier paper concerning a solvable Inodel in statistical mechanics, Miwa and Jimbo state a theta-function identity which they have checked to the 200th power, but of which they do not have a proof. The main objective of this note is to provide such a proof.http://dx.doi.org/10.1155/S0161171294001146q-series identityJacobi's triple productsums and products. |
| spellingShingle | M. D. Hirschhorn Several identities in statistical mechanics International Journal of Mathematics and Mathematical Sciences q-series identity Jacobi's triple product sums and products. |
| title | Several identities in statistical mechanics |
| title_full | Several identities in statistical mechanics |
| title_fullStr | Several identities in statistical mechanics |
| title_full_unstemmed | Several identities in statistical mechanics |
| title_short | Several identities in statistical mechanics |
| title_sort | several identities in statistical mechanics |
| topic | q-series identity Jacobi's triple product sums and products. |
| url | http://dx.doi.org/10.1155/S0161171294001146 |
| work_keys_str_mv | AT mdhirschhorn severalidentitiesinstatisticalmechanics |