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On the imaginary bicyclic biquadratic fields with class-number 
Authors:
D. A. Buell, H. C. Williams and K. S. Williams
Journal:
Math. Comp. 31 (1977), 1034-1042
MSC:
Primary 12A30; Secondary 12A50
MathSciNet review:
0441914
Full-text PDF Free Access
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Abstract: Assuming that the list of imaginary quadratic number fields of class-number 4 is complete, a determination is made of all imaginary bicyclic biquadratic number fields of class-number 2.
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Unterkörper des bizyklischen biquadratischen Zahlkörpers,
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evaluating 𝐿(1,𝜒) and the class number of a real quadratic
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- P. BARRUCAND & H. COHN, "A rational genus, class number divisibility, and unit theory for pure cubic fields," J. Number Theory, v. 2, 1970, pp. 7-21. MR 40 #2643. MR 0249398 (40:2643)
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- D. A. BUELL, "Small class numbers and extreme values of L-functions of quadratic fields," Math. Comp., v. 31, 1977, pp. 786-796. MR 0439802 (55:12684)
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- H. L. MONTGOMERY & P. J. WEINBERGER, "Notes on small class numbers," Acta Arith., v. 24, 1974, pp. 529-542. MR 50 #9841. MR 0357373 (50:9841)
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- H. M. STARK, "A complete determination of the complex quadratic fields of class-number one," Michigan Math. J., v. 14, 1967, pp. 1-27. MR 36 # 5102. MR 0222050 (36:5102)
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- H. M. STARK, "On complex quadratic fields with class-number two," Math. Comp., v. 29, 1975, pp. 289-302. MR 51 # 5548. MR 0369313 (51:5548)
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- H. C. WILLIAMS & J. BROERE, "A computational technique for evaluating
 and the class number of a real quadratic field," Math. Comp., v. 30, 1976, pp. 887-893. MR 0414522 (54:2623)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025-5718-1977-0441914-1
PII:
S 0025-5718(1977)0441914-1
Article copyright:
© Copyright 1977 American Mathematical Society
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