WXML Spring 2016

Number Theory and Noise

Quadratic residues

All files in this section created by Christine Wolf

Let m be a positive integer. Define a set of positive integers A by saying that n is in A iff n is a quadratic residue modulo m.

The following are the sound files resulting different moduli m.

Powers of 2

Powers of 3

Powers of 5

Powers of 7

Powers of 11

Moduli of the form (11)(7n)

modulo 40000 to 40010

Longer sounds and simulated sequences

All files in this section created by Xinwei Fan

Digit-related sequences

All files in this section created by Elana Lessing

Integers with certain digit sums

Integers with certain digit products


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