Generalized Hurwitz series

A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 18, 2012, Number 4, Pages 61–68
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Authors and affiliations

A. G. Shannon

Faculty of Engineering & IT, University of Technology
Sydney, NSW 2007, Australia

Abstract

Properties of generalized Hurwitz series are developed here in the framework of Fermatian numbers. These properties include derivatives in the Fontené–Jackson calculus which results in another solution of Ward’s Staudt–Clausen problem.

Keywords

  • Hurwitz series
  • Fermatian numbers
  • Fontené–Jackson calculus
  • Staudt–Clausen theorem
  • Bernoulli numbers
  • Umbral calculus

AMS Classification

  • 11B75
  • 11Z05
  • 11B65

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Cite this paper

Shannon, A.(2012). Generalized Hurwitz series. Notes on Number Theory and Discrete Mathematics, 18(4), 61-68.

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