The Zagier polynomials. II: Arithmetic properties of coefficients

DOI10.1007/s11139-014-9568-5zbMath1372.11023arXiv1303.6590OpenAlexW2107406724MaRDI QIDQ486596

Atul Dixit, Mark W. Coffey, Victor H. Moll, Armin Straub, Christophe Vignat, Valerio de Angelis

Publication date: 16 January 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6590

zbMATH Keywords

umbral calculusdigamma function2-adic valuationsZagier polynomials

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

Asymptotics and exact formulas for Zagier polynomials ⋮ The Zagier modification of Bernoulli numbers and a polynomial extension. I ⋮ THE FINITE FOURIER TRANSFORM OF CLASSICAL POLYNOMIALS

Cites Work

• The Zagier modification of Bernoulli numbers and a polynomial extension. I
• Sharp inequalities for the psi function and harmonic numbers
• Partial fractions expansions and identities for products of Bessel functions
• A Note on the Staudt-Clausen Theorem
• The Curious History of Faa di Bruno's Formula
• Refinements of lower bounds for polygamma functions
• On some inequalities for the gamma and psi functions
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