# Pseudorandom Walks with Generalized Gauss Sums

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This Demonstration shows pseudorandom walks constructed from generalized Gauss sums, defined by , where the modulus and the exponent are integers of at least 2. (The case reduces to the classical quadratic Gauss sum.)

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Contributed by: Ka Fung Tjin (June 2020)

(Based on an undergraduate research project at the Illinois Geometry Lab by Ka Fung Tjin, Erqian Wang and Yifan Zhang and directed by A. J. Hildebrand.)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This Demonstration is inspired by visualizations from [1].

[1] R. R. Moore and A. J. van der Poorten, "On the Thermodynamics of Curves and Other Curlicues," *Miniconference on Geometry and Physics* (M. N. Barber and M. K. Murray, eds.), Canberra, Australia: The Australian National University*, *1989 pp. 82–109. maths.anu.edu.au/files/CMAProcVol22-MoorePoorten.pdf.

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