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Power values of the sigma function

Basso, A. (2017) Power values of the sigma function. Bachelor's Thesis, Mathematics.

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Abstract

We study when the sum of divisors function attains perfect power values for an unrestricted argument and when it does so with perfect power arguments. We give a proof of the existence of infinitely many integers whose sum of divisors is a kth power, for any integer k, and we present several cubes whose sum of divisors is again a cube.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:29
Last Modified: 15 Feb 2018 08:29
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15363

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