Solution of small class number problems for cyclotomic fields

John Myron Masley

Compositio Mathematica (1976)

  • Volume: 33, Issue: 2, page 179-186
  • ISSN: 0010-437X

How to cite

top

Masley, John Myron. "Solution of small class number problems for cyclotomic fields." Compositio Mathematica 33.2 (1976): 179-186. <http://eudml.org/doc/89304>.

@article{Masley1976,
author = {Masley, John Myron},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {179-186},
publisher = {Noordhoff International Publishing},
title = {Solution of small class number problems for cyclotomic fields},
url = {http://eudml.org/doc/89304},
volume = {33},
year = {1976},
}

TY - JOUR
AU - Masley, John Myron
TI - Solution of small class number problems for cyclotomic fields
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 33
IS - 2
SP - 179
EP - 186
LA - eng
UR - http://eudml.org/doc/89304
ER -

References

top
  1. [1] H. Bauer: Numerische Bestimmung von Klassenzahlen reeller zyklischer Zahlkorper. J. of Number Theory1 (1969) 161-162. Zbl0167.32301MR240072
  2. [2] H. Hasse: Arithmetische Bestimmung von Grundeinheit und Klassenzahl in zyklischen kubischen und biquadratischen Zahlkorpern. Abh. Deutsche Akad. Wiss.1948, Nr. 2 (1950). Zbl0035.30502MR33863
  3. [3] H. Hasse: Uber die Klassenzahl abelscher Zahlkorper. Akademie Verlag, 1952. Zbl0046.26003MR49239
  4. [4] K. Iwasawa: A note on class numbers of algebraic number fields. Abh. Math. Sem. Univ. Hamburg20 (1956) 257-258. Zbl0074.03002MR83013
  5. [5] J. Masley: On the class number of cyclotomic fields. Dissertation, Princeton Univ., 1972. 
  6. [6] J. Masley: Solution of the class number two problem for cyclotomic fields. Inventiones Math.25 (1975). MR369319
  7. [7] J. Masley and H.L. Montgomery: Unique factorization in cyclotomic fields. To appear in Crelle's Journal. Zbl0335.12013
  8. [8] T. Metsankyla: On the growth of the first factor of the cyclotomic class number. Ann. Univ. Turku, Ser. AI155 (1972). Zbl0239.12008MR330103
  9. [9] M. Newman: A table of the first factor for prime cyclotomic fields. Math. Comp.24 (1970) 215-219. Zbl0198.36902MR257029
  10. [10] G. Schrutka V. Rechtenstamm: Tabelle der (relativ-)Klassenzahlen von Kreiskorper. Abh. Deutsche Akad. Wiss. Berlin, 1964Math Nat. Kl. Nr. 2. Zbl0199.09803MR167646
  11. [11] A. Yokoyama: On class numbers of finite algebraic number fields. Tohoku Math J., 17 (1965) 349-357. Zbl0139.28202MR190132
  12. [H] H. Hasse: Zahlentheorie. Akademie Verlag, Berlin, 3rd edition, 1969, p. 591. Zbl0035.02002MR253972

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.