Poly-Bernoulli numbers

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125 Citations (Scopus)

Abstract

By using polylogarithm series, we define “poly-Bernoulli numbers” which generalize classical Bernoulli numbers. We derive an explicit formula and a duality theorem for these numbers, together with a von Staudt-type theorem for di-Bernoulli numbers and another proof of a theorem of Vandiver.

Original languageEnglish
Pages (from-to)221-228
Number of pages8
JournalJournal de Theorie des Nombres de Bordeaux
Volume9
Issue number1
DOIs
Publication statusPublished - 1997

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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