English

Some Interesting Connections!

History and Overview 2018-08-07 v1 Combinatorics

Abstract

One source of beauty in mathematics is totally unexpected connections between two fundamentally different objects. For instance, is it not surprising that the time period of a real simple pendulum is linked with a function arising out of finding the number of ways in which a positive integer could be decomposed as a sum of two squares? Why should inherent properties and interrelations among counting numbers should appear in the laws of nature that govern the motion of a simple pendulum? In this article we will see some such surprising and beautiful results coming from combinatorics, number theory and physics.

Keywords

Cite

@article{arxiv.1808.01902,
  title  = {Some Interesting Connections!},
  author = {Alok Shukla},
  journal= {arXiv preprint arXiv:1808.01902},
  year   = {2018}
}

Comments

The article is an expanded version of a "math-popularization" talk given by the author

R2 v1 2026-06-23T03:25:30.482Z