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Construction of the first layer of anti-cyclotomic extension
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In this paper, using a theorem of Brink for prime decomposition of the anti-cyclotomic extension, we explicitly construct the first layer of the anti-cyclotomic Z3-extension of imaginary quadratic fields.
Abstract
In this paper, using a theorem of Brink for prime decomposition of the anti-cyclotomic extension, we explicitly construct the first layer of the anti-cyclotomic Z3-extension of imaginary quadratic fields.
참고문헌 (8)
- D.Brink, "Prime decomposition in the anti-cyclotomic extensions", Mathematics of Computation, 76(260), pp.2127~2138 (2007)
- H.Cohen, "Advanced Topics in Computational Number Theory" (1999), Springer
- R.Greenberg, "On the Iwasawa invariants of totally real number fields", American Journal of Math., 98(1), pp.263~284 (1976)
- J.Minardi, "Iwasawa modules for Zdp -extensions of algebraic number fields", 박사, pp.1986
- J.Oh, "On the first layer of anti-cyclotomic Zp-extension over imaginary qua- dratic fields", Proc. Japan Acad. Ser.A Math.Sci., 83(3), pp.19~20 (2007)
- Jangheon Oh, "A note on the first layers of Z_{p}-extensions", 대한수학회논문집, 24(1), pp.1~4 (2009), 대한수학회
- J.Oh, "Construction of 3-Hilbert class field of certain imaginary quadratic fields", Proc. Japan Aca. Ser.A Math. Sci., 86(1), pp.18~19 (2010)
- 오장헌, "ANTI-CYCLOTOMIC EXTENSION AND HILBERT CLASS FIELD", 충청수학회지, 25(1), pp.91~96 (2012), 충청수학회
관련 논문AI추천
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