Euclidean proofs for function fields

Thomas Lachmann

doi:10.7169/facm/1652

Euclidean proofs for function fields

Thomas Lachmann^*

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article

Abstract

Schur proved the infinitude of primes in arithmetic progressions of the form ≡ l mod m, such that L² ≡ 1 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 Fq[T].

Original language	English
Pages (from-to)	105-116
Number of pages	12
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	58
Issue number	1
DOIs	https://doi.org/10.7169/facm/1652
Publication status	Published - 1 Mar 2018

Keywords

Carlitz module
Euclidean proof
Function fields

ASJC Scopus subject areas

Mathematics(all)

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10.7169/facm/1652

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