@article{CM_1978__37_3_297_0, author = {Masley, John Myron}, title = {Class numbers of real cyclic number fields with small conductor}, journal = {Compositio Mathematica}, pages = {297--319}, publisher = {Sijthoff et Noordhoff International Publishers}, volume = {37}, number = {3}, year = {1978}, mrnumber = {511747}, zbl = {0428.12003}, language = {en}, url = {http://www.numdam.org/item/CM_1978__37_3_297_0/} }
TY - JOUR AU - Masley, John Myron TI - Class numbers of real cyclic number fields with small conductor JO - Compositio Mathematica PY - 1978 SP - 297 EP - 319 VL - 37 IS - 3 PB - Sijthoff et Noordhoff International Publishers UR - http://www.numdam.org/item/CM_1978__37_3_297_0/ LA - en ID - CM_1978__37_3_297_0 ER -
Masley, John Myron. Class numbers of real cyclic number fields with small conductor. Compositio Mathematica, Tome 37 (1978) no. 3, pp. 297-319. http://www.numdam.org/item/CM_1978__37_3_297_0/
[1] Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper. J. of Number Theory 1 (1969) 161-162. | MR | Zbl
:[2] Die 2-Klassenzahlen spezieller quadratischer Zahlkörper, J. Reine Angew. Math. 252 (1972), 79-81. | MR | Zbl
:[3] On the class group of relatively Abelian fields. Quart. J. Math. Oxford Ser. (2) 3 (1952) 98-106. | MR | Zbl
:[4] On the absolute class-group of Abelian fields II. J. London Math. Soc. 30 (1955) 72-80. | MR | Zbl
:[5] On a method for the determination of class number factors in number fields. Mathematika 4 (1957) 113-121. | MR | Zbl
:[6] Methodes et algorithmes pour le calcul numerique du nombre de classes et des unités des extensions cubiques cycliques de Q. J. Reine Angew. Math. 277 (1975), 89-116. | MR | Zbl
:[7] A generalization of Kummer's criterion. Inventiones math. 21 (1973) 247-254. | MR | Zbl
:[8] Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkörpern. Abh. Deutsche Akad. Wiss. 1948, Nr. 2 (1950). | MR | Zbl
:[9] Über die Klassenzahl abelscher Zahlkörper. Akademie Verlag, 1952. | MR | Zbl
:[10] A note on class numbers of algebraic number fields. Abh. Math. Sem. Univ. Hamburg 20 (1956) 257-258. | MR | Zbl
:[11] A note on ideal class groups. Nagoya Math. J. 27 (1966) 239-247. | MR | Zbl
:[12] Bemerkung über die Klassenanzahl der aus Einheitswurzeln gebildeten komplexen Zahlen. Monatsber. Akad. d. Wiss. Berlin 1863 = Werke 1, 123-131.
:[13] Zur Geschlechtertheorie in abelschen Zahlkörpern. Math. Nachr. 9(1953) 351-362. | MR | Zbl
:[14] Uber Einheitengruppe und Klassenzahl reeller abelscher Zahlkörper. Abh. Deutsche Akad. Wiss. Berlin Kl. Math. Nat. 1953, Nr. 2 (1954). | MR | Zbl
:[15] Zür Struktur der I-Klassengruppe galoisscher Zahlkörper. J. Reine Angew. Math. 199 (1958) 165-174. | MR | Zbl
:[16] Über Klassenzahlprimteiler reeller abelscher Zahlkörper als Primteiler verallgemeinerter Bernoullischer Zahlen. Abh. Math. Sem. Univ. Hamburg 23 (1959) 36-47. | MR | Zbl
:[17] Über Fermatquotienten von Kreiseinheiten und Klassenzahlformeln modulo p. Rend. Circ. Mat. Palermo (2) 9 (1960) 39-50. | MR | Zbl
:[18] On the class number of cyclotomic fields. Dissertation, Princeton Univ. 1972.
:[19] Solution of the class number two problem for cyclotomic fields. Inventiones math. 28 (1975) 243-244. | MR | Zbl
:[20] Solution of small class number problems for cyclotomic fields. Compositio Math. 33 (1976) 179-186. | Numdam | MR | Zbl
:[21] Unique factorization in cyclotomic fields. J. Reine Angew. Math. 286/287 (1976) 248-256. | MR | Zbl
and :[22] Odlyzko bounds and class number problems, Algebraic Number fields (edited by A. Fröhlich) Academic Press 1977, 465-474. | MR | Zbl
:[23] Some analytic estimates of class numbers and discriminants. Inventiones Math. 29 (1975) 275-286. | MR | Zbl
:[24] Lower bounds for discriminants of number fields. Acta Arith. 29 (1976) 275-297. | MR | Zbl
:[25] Lower bounds for discriminants of number fields II, Tohoku Math. J. 29 (1977) 209-216. | MR | Zbl
:[26] Unconditional lower bounds for discriminants of number fields (unpublished preprint, November 1976). | MR
:[27] Minorations de discriminants (d'apres A.M. Odlyzko). Sem Bourbaki, Fev. 1976, no. 479. | Numdam | Zbl
:[28] Algebraic Numbers. Wiley-Interscience 1972, p. 218. | MR | Zbl
:[29] Tabelle der (relativ-) Klassenzahlen von Kreiskorper. Abh. Deutsche Akad. Wiss. Berlin, 1964 Math Nat. Kl. Nr. 2. | MR | Zbl
:[30] The relation of some data obtained from rapid computing machines to the theory of cyclotomic fields, Proc. Nat. Acad. Sci. 40 (1954), 474-480. | MR | Zbl
:[31] Tours de corps de classes et estimations de discriminants, Inventiones math. (to appear). | MR | Zbl
: