Euclidean proofs for function fields

Thomas Lachmann

Research output: Contribution to journal › Article › Research › peer-review

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 languageEnglish
Pages (from-to)105-116
Number of pages12
JournalFunctiones et Approximatio, Commentarii Mathematici
Volume58
Issue number1
DOIs
Publication statusPublished - 1 Mar 2018

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Function Fields
Euclidean
Euclid
Arithmetic sequence
Ring

Keywords

  • Carlitz module
  • Euclidean proof
  • Function fields

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Euclidean proofs for function fields. / Lachmann, Thomas.

In: Functiones et Approximatio, Commentarii Mathematici, Vol. 58, No. 1, 01.03.2018, p. 105-116.

Research output: Contribution to journal › Article › Research › peer-review

Lachmann, T 2018, 'Euclidean proofs for function fields' Functiones et Approximatio, Commentarii Mathematici, vol. 58, no. 1, pp. 105-116. https://doi.org/10.7169/facm/1652
Lachmann T. Euclidean proofs for function fields. Functiones et Approximatio, Commentarii Mathematici. 2018 Mar 1;58(1):105-116. https://doi.org/10.7169/facm/1652
Lachmann, Thomas. / Euclidean proofs for function fields. In: Functiones et Approximatio, Commentarii Mathematici. 2018 ; Vol. 58, No. 1. pp. 105-116.
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