Hayes, David R. Explicit class field theory for rational function fields. (English) Zbl 0292.12018 Trans. Am. Math. Soc. 189, 77-91 (1974). Reviewer: Helmut Koch (Berlin) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 13 ReviewsCited in 114 Documents MSC: 11R58 Arithmetic theory of algebraic function fields 11R37 Class field theory Citations:Zbl 0018.19806 PDF BibTeX XML Cite \textit{D. R. Hayes}, Trans. Am. Math. Soc. 189, 77--91 (1974; Zbl 0292.12018) Full Text: DOI OpenURL References: [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 [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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.