On a function related to Ramanujan's Tau function
For the function ψ=ψ12, defined by ∑1∞ψ(n)xn=x∏1∞(1−x2n)12 (|x|<1), the author derives two simple formulas. The simpler of these two formulas is expressed solely in terms of the well-known sum-of-divisors function.
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| Format: | Article |
| Language: | English |
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Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171285000874 |
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| _version_ | 1832548706064269312 |
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| author | John A. Ewell |
| author_facet | John A. Ewell |
| author_sort | John A. Ewell |
| collection | DOAJ |
| description | For the function ψ=ψ12, defined by ∑1∞ψ(n)xn=x∏1∞(1−x2n)12 (|x|<1), the author derives two simple formulas. The simpler of these two formulas is expressed
solely in terms of the well-known sum-of-divisors function. |
| format | Article |
| id | doaj-art-d97a4fb6fc1540e39209c806b743d8ab |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d97a4fb6fc1540e39209c806b743d8ab2025-02-03T06:13:27ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018479579710.1155/S0161171285000874On a function related to Ramanujan's Tau functionJohn A. Ewell0Department of Mathematical Sciences, Northern Illinois University, DeKalb 60115, Illinois, USAFor the function ψ=ψ12, defined by ∑1∞ψ(n)xn=x∏1∞(1−x2n)12 (|x|<1), the author derives two simple formulas. The simpler of these two formulas is expressed solely in terms of the well-known sum-of-divisors function.http://dx.doi.org/10.1155/S0161171285000874Ramanujan's tau functionrelated arithmetical functions. |
| spellingShingle | John A. Ewell On a function related to Ramanujan's Tau function International Journal of Mathematics and Mathematical Sciences Ramanujan's tau function related arithmetical functions. |
| title | On a function related to Ramanujan's Tau function |
| title_full | On a function related to Ramanujan's Tau function |
| title_fullStr | On a function related to Ramanujan's Tau function |
| title_full_unstemmed | On a function related to Ramanujan's Tau function |
| title_short | On a function related to Ramanujan's Tau function |
| title_sort | on a function related to ramanujan s tau function |
| topic | Ramanujan's tau function related arithmetical functions. |
| url | http://dx.doi.org/10.1155/S0161171285000874 |
| work_keys_str_mv | AT johnaewell onafunctionrelatedtoramanujanstaufunction |