Functiones et Approximatio Commentarii Mathematici

Euclidean proofs for function fields

Thomas Lachmann

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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 $\mathbb{F}_{q}[T]$.

Article information

Funct. Approx. Comment. Math., Volume 58, Number 1 (2018), 105-116.

First available in Project Euclid: 24 March 2018

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Zentralblatt MATH identifier

Primary: 11R02

Euclidean proof function fields Carlitz module


Lachmann, Thomas. Euclidean proofs for function fields. Funct. Approx. Comment. Math. 58 (2018), no. 1, 105--116. doi:10.7169/facm/1652.

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