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March 2018 Euclidean proofs for function fields
Thomas Lachmann
Funct. Approx. Comment. Math. 58(1): 105-116 (March 2018). DOI: 10.7169/facm/1652

Abstract

Schur proved the infinitude of primes in arithmetic progressions of the form $\equiv l\mod m$, such that $l^{2}\equiv1\mod m$, with non-analytic methods by ideas inspired from the famous proof Euclid gave for the infinitude of primes. Ram Murty showed that Schur's method has its limits given by the assumption Schur made. We will discuss analogous for the primes in the ring $\mathbb{F}_{q}[T]$.

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Thomas Lachmann. "Euclidean proofs for function fields." Funct. Approx. Comment. Math. 58 (1) 105 - 116, March 2018. https://doi.org/10.7169/facm/1652

Information

Published: March 2018
First available in Project Euclid: 24 March 2018

zbMATH: 06924919
MathSciNet: MR3780037
Digital Object Identifier: 10.7169/facm/1652

Subjects:
Primary: 11R02

Rights: Copyright © 2018 Adam Mickiewicz University

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Vol.58 • No. 1 • March 2018
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