Asymptotics and exact formulas for Zagier polynomials

Abstract : In 1998 Don Zagier introduced the modified Bernoulli numbers B∗n and showed that they satisfy amusing variants of some properties of Bernoulli numbers. In particular, he studied the asymptotic behavior of B∗2n, and also obtained an exact formula for them, the motivation for which came from the representation of B2n in terms of the Riemann zeta function ζ(2n). The modified Bernoulli numbers were recently generalized to Zagier polynomials B∗n(x). For 0
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Submitted on : Wednesday, July 13, 2016 - 4:38:25 PM
Last modification on : Tuesday, July 9, 2019 - 2:30:19 PM

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Atul Dixit, Lawrence Glasser, Victor H. Moll, Christophe Vignat. Asymptotics and exact formulas for Zagier polynomials. Research in Number Theory, SpringerOpen, 2016, 2 (12), ⟨10.1007/s40993-016-0044-8 ⟩. ⟨hal-01345428⟩

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