Calculation of the first factor of the class number of the cyclotomic field
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- by Tauno Metsänkylä PDF
- Math. Comp. 23 (1969), 533-537 Request permission
Abstract:
The values of the first factor ${H_1}(m)$ of the class number of the $m$th cyclotomic field are tabulated for 120 composite $m$’s larger than 100. A conjecture concerning a divisibility property of ${H_1}(m)$ is stated.References
- Helmut Hasse, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, Berlin, 1952 (German). MR 0049239 E. Kummer, "Über die Klassenanzahl der aus $n$ten Einheitswurzeln gebildeten komplexen Zahlen," Monatsh. Preuss. Akad. Wiss. Berlin, 1861, pp. 1051–1053. E. Kummer, "Über diejenigen Primzahlen $\lambda$, für welche die Klassenzahl der aus $\lambda$ten Einheitswurzeln gebildeten komplexen Zahlen durch $\lambda$ theilbar ist," Monaish. Preuss. Akad. Wiss. Berlin, 1874, pp. 239–248.
- Timo Lepistö, On the first factor of the class number of the cyclotomic field and Dirichlet’s $L$-functions, Ann. Acad. Sci. Fenn. Ser. A I No. 387 (1966), 53. MR 0195843
- Tauno Metsänkylä, Über den ersten Faktor der Klassenzahl des Kreiskörpers, Ann. Acad. Sci. Fenn. Ser. A I No. 416 (1967), 48 (German). MR 0228466
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 533-537
- MSC: Primary 65.25; Secondary 10.00
- DOI: https://doi.org/10.1090/S0025-5718-1969-0247738-8
- MathSciNet review: 0247738