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Explicit class field theory for rational function fields. (English) Zbl 0292.12018

MSC:
11R58 Arithmetic theory of algebraic function fields
11R37 Class field theory
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[1] E. Artin and J. Tate, Class field theory, Notes Distributed by the Department of Mathematics, Harvard University, Cambridge, Mass. · Zbl 0176.33504
[2] Leonard Carlitz, A class of polynomials, Trans. Amer. Math. Soc. 43 (1938), no. 2, 167 – 182. · Zbl 0018.19806
[3] Leonard Carlitz, On certain functions connected with polynomials in a Galois field, Duke Math. J. 1 (1935), no. 2, 137 – 168. · Zbl 0012.04904 · doi:10.1215/S0012-7094-35-00114-4 · doi.org
[4] Algebraic number theory, Proceedings of an instructional conference organized by the London Mathematical Society (a NATO Advanced Study Institute) with the support of the International Mathematical Union. Edited by J. W. S. Cassels and A. Fröhlich, Academic Press, London; Thompson Book Co., Inc., Washington, D.C., 1967.
[5] Jonathan Lubin and John Tate, Formal complex multiplication in local fields, Ann. of Math. (2) 81 (1965), 380 – 387. · Zbl 0128.26501 · doi:10.2307/1970622 · doi.org
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