no. 3
Class numbers of real cyclic number fields with small conductor
Compositio Mathematica, Tome 37 (1978) no. 3, pp. 297-319. 
@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://archive.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://archive.numdam.org/item/CM_1978__37_3_297_0/
LA  - en
ID  - CM_1978__37_3_297_0
ER  - 
%0 Journal Article
%A Masley, John Myron
%T Class numbers of real cyclic number fields with small conductor
%J Compositio Mathematica
%D 1978
%P 297-319
%V 37
%N 3
%I Sijthoff et Noordhoff International Publishers
%U http://archive.numdam.org/item/CM_1978__37_3_297_0/
%G en
%F CM_1978__37_3_297_0
Masley, John Myron. Class numbers of real cyclic number fields with small conductor. Compositio Mathematica, Tome 37 (1978) no. 3, pp. 297-319. http://archive.numdam.org/item/CM_1978__37_3_297_0/

[1] H. Bauer: Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkörper. J. of Number Theory 1 (1969) 161-162. | MR | Zbl

[2] H. Bauer: Die 2-Klassenzahlen spezieller quadratischer Zahlkörper, J. Reine Angew. Math. 252 (1972), 79-81. | MR | Zbl

[3] A. Fröhlich: On the class group of relatively Abelian fields. Quart. J. Math. Oxford Ser. (2) 3 (1952) 98-106. | MR | Zbl

[4] A. Fröhlich: On the absolute class-group of Abelian fields II. J. London Math. Soc. 30 (1955) 72-80. | MR | Zbl

[5] A. Fröhlich: On a method for the determination of class number factors in number fields. Mathematika 4 (1957) 113-121. | MR | Zbl

[6] M. Gras: 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] R. Greenberg: A generalization of Kummer's criterion. Inventiones math. 21 (1973) 247-254. | MR | Zbl

[8] H. Hasse: Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkörpern. Abh. Deutsche Akad. Wiss. 1948, Nr. 2 (1950). | MR | Zbl

[9] H. Hasse: Über die Klassenzahl abelscher Zahlkörper. Akademie Verlag, 1952. | MR | Zbl

[10] K. Iwasawa: A note on class numbers of algebraic number fields. Abh. Math. Sem. Univ. Hamburg 20 (1956) 257-258. | MR | Zbl

[11] K. Iwasawa: A note on ideal class groups. Nagoya Math. J. 27 (1966) 239-247. | MR | Zbl

[12] L. Kronecker: Bemerkung über die Klassenanzahl der aus Einheitswurzeln gebildeten komplexen Zahlen. Monatsber. Akad. d. Wiss. Berlin 1863 = Werke 1, 123-131.

[13] H. Leopoldt: Zur Geschlechtertheorie in abelschen Zahlkörpern. Math. Nachr. 9(1953) 351-362. | MR | Zbl

[14] H. Leopoldt: Uber Einheitengruppe und Klassenzahl reeller abelscher Zahlkörper. Abh. Deutsche Akad. Wiss. Berlin Kl. Math. Nat. 1953, Nr. 2 (1954). | MR | Zbl

[15] H. Leopoldt: Zür Struktur der I-Klassengruppe galoisscher Zahlkörper. J. Reine Angew. Math. 199 (1958) 165-174. | MR | Zbl

[16] H. Leopoldt: Über Klassenzahlprimteiler reeller abelscher Zahlkörper als Primteiler verallgemeinerter Bernoullischer Zahlen. Abh. Math. Sem. Univ. Hamburg 23 (1959) 36-47. | MR | Zbl

[17] H. Leopoldt: Über Fermatquotienten von Kreiseinheiten und Klassenzahlformeln modulo p. Rend. Circ. Mat. Palermo (2) 9 (1960) 39-50. | MR | Zbl

[18] J. Masley: On the class number of cyclotomic fields. Dissertation, Princeton Univ. 1972.

[19] J. Masley: Solution of the class number two problem for cyclotomic fields. Inventiones math. 28 (1975) 243-244. | MR | Zbl

[20] J. Masley:Solution of small class number problems for cyclotomic fields. Compositio Math. 33 (1976) 179-186. | Numdam | MR | Zbl

[21] J. Masley and H.L. Montgomery: Unique factorization in cyclotomic fields. J. Reine Angew. Math. 286/287 (1976) 248-256. | MR | Zbl

[22] J. Masley: Odlyzko bounds and class number problems, Algebraic Number fields (edited by A. Fröhlich) Academic Press 1977, 465-474. | MR | Zbl

[23] A. Odlyzko: Some analytic estimates of class numbers and discriminants. Inventiones Math. 29 (1975) 275-286. | MR | Zbl

[24] A. Odlyzko: Lower bounds for discriminants of number fields. Acta Arith. 29 (1976) 275-297. | MR | Zbl

[25] A. Odlyzko: Lower bounds for discriminants of number fields II, Tohoku Math. J. 29 (1977) 209-216. | MR | Zbl

[26] A. Odlyzko: Unconditional lower bounds for discriminants of number fields (unpublished preprint, November 1976). | MR

[27] G. Poitou: Minorations de discriminants (d'apres A.M. Odlyzko). Sem Bourbaki, Fev. 1976, no. 479. | Numdam | Zbl

[28] P. Ribenboim: Algebraic Numbers. Wiley-Interscience 1972, p. 218. | MR | Zbl

[29] G. Schrutka V. Rechtenstamm: Tabelle der (relativ-) Klassenzahlen von Kreiskorper. Abh. Deutsche Akad. Wiss. Berlin, 1964 Math Nat. Kl. Nr. 2. | MR | Zbl

[30] H.S. Vandiver: 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] J. Martinet: Tours de corps de classes et estimations de discriminants, Inventiones math. (to appear). | MR | Zbl