Geodesic
The Farey density of norm subgroups of global fields (II)
Glasgow mathematical journal, Tome 18 (1977) no. 1, pp. 57-67

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In this paper we shall derive for function fields in one variable over finite constant fields results analogous to [1], where algebraic number fields were considered. The ground field P will be the set of all rational functions in a given transcendent X, with coefficients in k = GF(q), q = pr, p a prime; thus P = k(X). 
Cohen, S. D.; Odoni, R. W. K. The Farey density of norm subgroups of global fields (II). Glasgow mathematical journal, Tome 18 (1977) no. 1, pp. 57-67. doi: 10.1017/S0017089500003037
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[1] 1.Odoni, R. W. K., The Farey density of norm subgroups of global fields—I, Mathematika 20 (1973), 155–169. Google Scholar | DOI

[2] 2.Schmidt, F. K., Die Theorie der Klassenkörper…, Sitzungsberichte der phys. med. Soc. zu Erlangen 62 (1930), 267–284. Google Scholar

[3] 3.Deuring, M., Lectures on the theory of algebraic functions of one variable, Lecture Notes in Mathematics No. 314 (Springer-Verlag, 1973). Google Scholar | DOI

[4] 4.Deuring, M., Über den Tschebotareffschen Dichtigkeitssatz, Math. Ann. 110 (1935), 414–415. Google Scholar | DOI

[5] 5.Cohen, S. D., The distribution of polynomials over finite fields, Acta Arithmetica 17 (1970), 255–271. Google Scholar | DOI

[6] 6.Fried, M., On Hilbert's Irreducibility Theorem, Number Theory 6 (1974), 211–231. Google Scholar | DOI

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