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math.NT2013
The Zagier polynomials. Part II: Arithmetic properties of coefficients
Mark W. Coffey, Valerio De Angelis, Atul Dixit +3
The modified Bernoulli numbers \begin{equation*} B_{n}^{*} = \sum_{r=0}^{n} \binom{n+r}{2r} \frac{B_{r}}{n+r}, \quad n > 0 \end{equation*} introduced by D. Zagier in 1998 were rece…
math.NT2012
The Zagier modification of Bernoulli numbers and a polynomial extension. Part I
Atul Dixit, Victor H. Moll, Christophe Vignat
The modified B_{n}^{*} = \sum_{r=0}^{n} \binom{n+r}{2r} \frac{B_{r}}{n+r}, \quad n > 0 introduced by D. Zagier in 1998 are extended to the polynomial case by replacing by t…