The Zagier polynomials. Part II: Arithmetic properties of coefficients View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2014-12

AUTHORS

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

ABSTRACT

The modified Bernoulli numbers Bn∗=∑r=0nn+r2rBrn+r,n>0introduced by Zagier in 1998 were recently extended to the polynomial case by replacing Br by the Bernoulli polynomials Br(x). Arithmetic properties of the coefficients of these polynomials are established here. In particular, the 2-adic valuation of the modified Bernoulli numbers is determined. A variety of analytic, umbral, and asymptotic methods is used to analyze these polynomials. More... »

PAGES

361-390

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11139-014-9568-5

DOI

http://dx.doi.org/10.1007/s11139-014-9568-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1036000898


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