Multisection of series

A. G. Shannon
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 4, Pages 66–71
DOI: 10.7546/nntdm.2019.25.4.66-71
Full paper (PDF, 151 Kb)

Details

Authors and affiliations

A. G. Shannon
Warrane College, The University of New South Wales,
Kensington, NSW 2033, Australia

Abstract

This paper extends some ideas of Leonard Carlitz with ideas from John Riordan and
validated against results of Alwyn Horadam. They involve breaking up series and considering multiple sums of ordinary and generalized binomial coefficients.

Keywords

• Generating function
• Binomial coefficient
• Primitive root
• Lucas numbers
• Kronecker delta
• Binet formulas
• q-series

2010 Mathematics Subject Classification

• 11B65
• 11B39

References

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