The Proof of Dirichlet’s Theorem on Arithmetic Progressions and its Variations

Mintjes, Maarten (2018) The Proof of Dirichlet’s Theorem on Arithmetic Progressions and its Variations. Bachelor's Thesis, Mathematics.

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Abstract

In this bachelor’s thesis we study the proof of Dirichlet’s Theorem on primes in Arithmetic Progressions. We find out about the various proofs of this theorem and see how they are different, but also very related. We start looking at the idea of the proof that Dirichlet originally came up with it and end up at very recent variations, published in the American Mathematical Monthly. The influences from time are visible in the mathematics, but the general idea of the proof stays intact. We can construct different proofs for different audiences and find one for readers from different backgrounds to enjoy and understand. From classrooms to devoted readers of mathematics, there is something interesting about the proof of Dirichlet’s Theorem for all mathematicians.

Item Type:	Thesis (Bachelor's Thesis)
Supervisor name:	Top, J. and Sterk, A.E.
Degree programme:	Mathematics
Thesis type:	Bachelor's Thesis
Language:	English
Date Deposited:	13 Jul 2018
Last Modified:	20 Jul 2018 10:31
URI:	https://fse.studenttheses.ub.rug.nl/id/eprint/17834

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