The class number of the field of $5^{n}$th roots of unity
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- by Lawrence C. Washington
- Proc. Amer. Math. Soc. 61 (1976), 205-208
- DOI: https://doi.org/10.1090/S0002-9939-1976-0424752-6
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Abstract:
Let $h_n^ -$ be the relative class number of the field of ${5^n}$th roots of unity. If $l$ is any prime number, then the $l$-part of $h_n^ -$ is bounded independent of $n$.References
- Helmut Hasse, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, Berlin, 1952 (German). MR 0049239
- Kenkichi Iwasawa, A note on class numbers of algebraic number fields, Abh. Math. Sem. Univ. Hamburg 20 (1956), 257–258. MR 83013, DOI 10.1007/BF03374563
- Serge Lang, Algebra, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1965. MR 0197234
- Lawrence C. Washington, Class numbers and $\textbf {Z}_{p}$-extensions, Math. Ann. 214 (1975), 177–193. MR 364182, DOI 10.1007/BF01352651
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 61 (1976), 205-208
- MSC: Primary 12A50; Secondary 12A35
- DOI: https://doi.org/10.1090/S0002-9939-1976-0424752-6
- MathSciNet review: 0424752