On the formal series Witt transform
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| Publication date | 2005 |
| Journal | Discrete mathematics |
| Volume | Issue number | 295 | 1-3 |
| Pages (from-to) | 143-160 |
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| Abstract |
Given a formal power series f(z)∈C〚z〛f(z)∈C〚z〛 we define, for any positive integer r, its r th Witt transform, Wf(r), by Wf(r)(z)=1r∑d|rμ(d)f(zd)r/d, where μμ denotes the Möbius function. The Witt transform generalizes the necklace polynomials, M(α;n)M(α;n), that occur in the cyclotomic identity 1/1-αy = ∏n=1∞(1-yn)-M(α;n). Several properties of Wf(r) are established. Some examples relevant to number theory are considered. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1016/j.disc.2005.03.004 |
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On the formal series Witt transform
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