A Rademacher Type Formula for Partitions and Overpartitions
A Rademacher-type convergent series formula which generalizes the Hardy-Ramanujan-Rademacher formula for the number of partitions of 𝑛 and the Zuckerman formula for the Fourier coefficients of 𝜗4(0∣𝜏)−1 is presented.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/630458 |
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| _version_ | 1849304570133479424 |
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| author | Andrew V. Sills |
| author_facet | Andrew V. Sills |
| author_sort | Andrew V. Sills |
| collection | DOAJ |
| description | A Rademacher-type convergent series formula which generalizes the Hardy-Ramanujan-Rademacher formula for the number of partitions of 𝑛 and the Zuckerman formula for the Fourier coefficients of 𝜗4(0∣𝜏)−1 is presented. |
| format | Article |
| id | doaj-art-3e405c39255944b2b8b48cabdffc83f0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3e405c39255944b2b8b48cabdffc83f02025-08-20T03:55:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/630458630458A Rademacher Type Formula for Partitions and OverpartitionsAndrew V. Sills0Department of Mathematical Sciences, Georgia Southern University, Statesboro, GA, 30460-8093, USAA Rademacher-type convergent series formula which generalizes the Hardy-Ramanujan-Rademacher formula for the number of partitions of 𝑛 and the Zuckerman formula for the Fourier coefficients of 𝜗4(0∣𝜏)−1 is presented.http://dx.doi.org/10.1155/2010/630458 |
| spellingShingle | Andrew V. Sills A Rademacher Type Formula for Partitions and Overpartitions International Journal of Mathematics and Mathematical Sciences |
| title | A Rademacher Type Formula for Partitions and Overpartitions |
| title_full | A Rademacher Type Formula for Partitions and Overpartitions |
| title_fullStr | A Rademacher Type Formula for Partitions and Overpartitions |
| title_full_unstemmed | A Rademacher Type Formula for Partitions and Overpartitions |
| title_short | A Rademacher Type Formula for Partitions and Overpartitions |
| title_sort | rademacher type formula for partitions and overpartitions |
| url | http://dx.doi.org/10.1155/2010/630458 |
| work_keys_str_mv | AT andrewvsills arademachertypeformulaforpartitionsandoverpartitions AT andrewvsills rademachertypeformulaforpartitionsandoverpartitions |