### Abstract

In this note we are interested in the rich geometry of the graph of a curve γa,b :
[0, 1] → C defined as
γa,b(t) = exp(2πiat) + exp(2πibt),
in which a, b are two different positive integers. It turns out that the sum of only two exponentials
gives already rise to intriguing graphs. We determine the symmetry group and the points
of self intersection of any such graph using only elementary arguments and describe various
interesting phenomena that arise in the study of graphs of sums of more than two exponentials.

Original language | English |
---|---|

Number of pages | 10 |

Journal | Elemente der Mathematik |

Publication status | Accepted - 10 Sep 2018 |

## Fingerprint Dive into the research topics of 'On the Symmetry of Finite Sums of Exponentials'. Together they form a unique fingerprint.

## Cite this

Pausinger, F., & Vartziotis, D. (Accepted/In press). On the Symmetry of Finite Sums of Exponentials.

*Elemente der Mathematik*.