Lehmer, D. H. Prime factors of cyclotomic class numbers. (English) Zbl 0357.12006 Math. Comput. 31, 599-607 (1977). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 10 Documents MSC: 11R18 Cyclotomic extensions 11R23 Iwasawa theory 12-04 Software, source code, etc. for problems pertaining to field theory × Cite Format Result Cite Review PDF Full Text: DOI References: [1] E. KUMMER, ”Bestimmung der Anzahl nicht äquivalenter Classen für die aus \( \lambda \) ten Wurzeln der Einheit gebildeten complexen Zahlen und die idealen Factoren derselben,” J. Reine Angew. Math., v. 40, 1850, pp. 43-116 (p. 110, formula 38). · ERAM 040.1088cj [2] D. H. Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. (2) 34 (1933), no. 3, 461 – 479. · Zbl 0007.19904 · doi:10.2307/1968172 [3] A. I. Borevich and I. R. Shafarevich, Number theory, Translated from the Russian by Newcomb Greenleaf. Pure and Applied Mathematics, Vol. 20, Academic Press, New York-London, 1966. · Zbl 0145.04902 [4] V. A. LEBESGUE, ”Dimostrazione dell’irreduttibilitá dell’equazione formata con le radici primitive dell’unitá,” Ann. Mat. Pura Appl., v. 2, 1859, pp. 232-237. [5] William Judson LeVeque, Topics in number theory. Vols. 1 and 2, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1956. · Zbl 0070.03804 [6] Tauno Metsänkylä, On prime factors of the relative class numbers of cyclotomic fields., Ann. Univ. Turku. Ser. A I No. 149 (1971), 8. · Zbl 0215.07204 [7] Guntram Schrutka von Rechtenstamm, Tabelle der (Relativ)-Klassenzahlen der Kreiskörper, deren \?-Funktion des Wurzelexponenten (Grad) nicht grösser als 256 ist, Abh. Deutsch. Akad. Wiss. Berlin Kl. Math. Phys. Tech. 1964 (1964), no. 2, 64 (German). · Zbl 0199.09803 [8] Morris Newman, A table of the first factor for prime cyclotomic fields, Math. Comp. 24 (1970), 215 – 219. · Zbl 0198.36902 [9] D. H. LEHMER & J. M. MASLEY, ”Table of the cyclotomic class numbers \( {h^\ast}(p)\) and their factors for \( 200 < p < 512\).” (To appear.) · Zbl 0382.12003 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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.