References
N.C.Ankeny, S.Chowla and H.Hasse, On the class-number of the maximal real subfield of a cyclotomic field, J. reine angew. Math. 217 (1965), 217–220
M.Ishida, Algebraic number theory (in Japanese), Morikita Shuppan, 1974
S.-D. Lang, Note on the class-number of the maximal real subfield of a cyclotomic field, J. reine angew. Math. 290 (1977), 70–72
G.Lettl, A lower bound for the class number of certain cubic number fields, Math. Comp. 46 (1986), 659–666
R.A.Mollin, Diophantine equations and class numbers, J. Number Theory. 24 (1986), 7–19
H.Osada, The Galois groups of the polynomialsx n+ax l+b, to appear in J. Number Theory
T.Sasaki, Y.Kanada and S.Watanabe, Calculation of discriminants of high degree equations, Tokyo J. Math. 4–2 (1981), 493–499
I.Yamaguchi, On the class-number of the maximal real subfield of a cyclotomic field, J. reine angew Math. 272 (1975), 217–220
Y.Yamanoto, On unramified Galois extensions of quadratic number fields, Osaka J. Math. 7 (1970), 57–76
K.Yamamura, On unramified Galois extensions of real quadratic fields, Osaka J. Math. 23 (1986), 471–478
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Osada, H. Note on the class-number of the maximal real subfield of a cyclotomic field. Manuscripta Math 58, 215–227 (1987). https://doi.org/10.1007/BF01169091
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DOI: https://doi.org/10.1007/BF01169091