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Computing the number of totally positive circular units which are squares. (English) Zbl 0369.12002


MSC:

11R27 Units and factorization
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References:

[1] Taussky, O., Unimodular integral circulants, Math. Z., 63, 286-289 (1955) · Zbl 0068.26602
[2] Garbanati, D.; Thompson, R. C., Classes of unimodular abelian group matrices, Pacific J. Math., 43, 633-646 (1972) · Zbl 0257.20040
[3] Hasse, H., (Uber die Klassenzahl Abelscher Zahlkorper (1952), Akademic-Verlag: Akademic-Verlag Berlin) · Zbl 0063.01966
[4] Armitage, J. V.; Frohlich, A., Class numbers and unit signatures, Mathematika, 14, 94-98 (1967) · Zbl 0149.29501
[5] Adachi, N., On the class number of an absolutely cyclic number field of prime degree, (Proc. Japan Acad., 45 (1969)) · Zbl 0197.32802
[6] G. and M.-N. Gras\(Q\)Ann. Inst. Fourier; G. and M.-N. Gras\(Q\)Ann. Inst. Fourier · Zbl 0297.12009
[7] \( \textsc{G. Gras}Q\); \( \textsc{G. Gras}Q\)
[8] Garbanati, D., Unit signatures, and even class numbers, and relative class numbers, J. Reine Angew. Math., 274, 376-384 (1975) · Zbl 0312.12015
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