An identity for vertically aligned entries in Pascal’s triangle

Heidi Goodson
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 26, 2020, Number 2, Pages 213–221
DOI: 10.7546/nntdm.2020.26.2.213-221
Full paper (PDF, 156 Kb)

Details

Authors and affiliations

Heidi Goodson
Department of Mathematics, Brooklyn College
2900 Bedford Avenue, Brooklyn, NY 11210 USA

Abstract

The classic way to write down Pascal’s triangle leads to entries in alternating rows being vertically aligned. In this paper, we prove a linear relation on vertically aligned entries in Pascal’s triangle. Furthermore, we give an application of this relation to morphisms between hyperelliptic curves.

Keywords

• Pascal’s triangle
• Binomial coefficients
• Hyperelliptic curves

2010 Mathematics Subject Classification

• 05A10
• 11G30

References

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