Name
Abstract | ||
|---|---|---|
For integer $m, p,$ we study tangent power sum $\sum^m_{k=1}\tan^{2p}\frac{\pi k}{2m+1}.$ We prove that, for every $m, p,$ it is integer, and, for a fixed p, it is a polynomial in $m$ of degree $2p.$ We give recurrent, asymptotical and explicit formulas for these polynomials and indicate their connections with Newman's digit sums in base $2m.$ |
Year | Venue | Field |
|---|---|---|
2014 | Integers | Integer,Discrete mathematics,Combinatorics,Polynomial,Algebra,Mathematical analysis,Tangent,Sums of powers,Mathematics |
DocType | Volume | Citations |
Journal | 14 | 0 |
PageRank | References | Authors |
0.34 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| vladimir shevelev | 1 | 1 | 1.41 |
| Peter J. C. Moses | 2 | 0 | 1.01 |