Lamplugh, J. An analogue of the Washington-Sinnott theorem for elliptic curves with complex multiplication. I. (English) Zbl 1323.11035 J. Lond. Math. Soc., II. Ser. 91, No. 3, 609-642 (2015). Reviewer: Lawrence C. Washington (College Park) MSC: 11G05 11R23 11G40 11G15 11R29 PDF BibTeX XML Cite \textit{J. Lamplugh}, J. Lond. Math. Soc., II. Ser. 91, No. 3, 609--642 (2015; Zbl 1323.11035) Full Text: DOI
Sun, Hae-Sang The special values of Dirichlet \(L\)-functions as an analogue of the Iwasawa power series. (English) Zbl 1319.11075 J. Reine Angew. Math. 687, 207-223 (2014). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R18 PDF BibTeX XML Cite \textit{H.-S. Sun}, J. Reine Angew. Math. 687, 207--223 (2014; Zbl 1319.11075) Full Text: DOI
Ichimura, Humio; Nakajima, Shoichi On the 2-part of the class numbers of cyclotomic fields of prime power conductors. (English) Zbl 1247.11136 J. Math. Soc. Japan 64, No. 1, 317-342 (2012). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R18 11R29 11R23 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{S. Nakajima}, J. Math. Soc. Japan 64, No. 1, 317--342 (2012; Zbl 1247.11136) Full Text: DOI
Morisawa, Takayuki Mahler measure of the Horie unit and Weber’s class number problem in the cyclotomic \(\mathbb Z_{3}\)-extension of \(\mathbb Q\). (English) Zbl 1325.11121 Acta Arith. 153, No. 1, 35-49 (2012). Reviewer: Roland Quême (Brax) MSC: 11R29 11R06 11R18 PDF BibTeX XML Cite \textit{T. Morisawa}, Acta Arith. 153, No. 1, 35--49 (2012; Zbl 1325.11121) Full Text: DOI
Ichimura, Humio; Nakajima, Shoichi On the 2-part of the ideal class group of the cyclotomic \(\mathbb Z_p\)-extension over the rationals. (English) Zbl 1222.11126 Abh. Math. Semin. Univ. Hamb. 80, No. 2, 175-182 (2010). Reviewer: Andreas Nickel (Regensburg) MSC: 11R18 11R29 11R23 PDF BibTeX XML Cite \textit{H. Ichimura} and \textit{S. Nakajima}, Abh. Math. Semin. Univ. Hamb. 80, No. 2, 175--182 (2010; Zbl 1222.11126) Full Text: DOI
Sun, Hae-Sang Cuspidal class number of the tower of modular curves \(X_1(Np^n)\). (English) Zbl 1304.11051 Math. Ann. 348, No. 4, 909-927 (2010). MSC: 11G16 11B68 11G18 PDF BibTeX XML Cite \textit{H.-S. Sun}, Math. Ann. 348, No. 4, 909--927 (2010; Zbl 1304.11051) Full Text: DOI
Finis, Tobias Divisibility of anticyclotomic \(L\)-functions and theta functions with complex multiplication. (English) Zbl 1111.11047 Ann. Math. (2) 163, No. 3, 767-807 (2006). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11Fxx 11M06 11R29 PDF BibTeX XML Cite \textit{T. Finis}, Ann. Math. (2) 163, No. 3, 767--807 (2006; Zbl 1111.11047) Full Text: DOI
Horie, Kuniaki The ideal class group of the basic \(\mathbb Z_p\)-extension over an imaginary quadratic field. (English) Zbl 1128.11051 Tohoku Math. J. (2) 57, No. 3, 375-394 (2005). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R29 PDF BibTeX XML Cite \textit{K. Horie}, Tohoku Math. J. (2) 57, No. 3, 375--394 (2005; Zbl 1128.11051) Full Text: DOI
Hida, Haruzo Non-vanishing modulo \(p\) of Hecke \(L\)-values. (English) Zbl 1162.11342 Adolphson, Alan (ed.) et al., Geometric aspects of Dwork theory. Vol. I, II. Berlin: Walter de Gruyter, 735-784 (2004). Reviewer: Lawrence C. Washington (College Park) MSC: 11F67 11G15 11G18 11R23 PDF BibTeX XML Cite \textit{H. Hida}, in: Geometric aspects of Dwork theory. Vol. I, II. Berlin: Walter de Gruyter. 735--784 (2004; Zbl 1162.11342)
Friedman, Eduardo; Sands, Jonathan W. On the \(l\)-adic Iwasawa \(\lambda\)-invariant in \(p\)-extension. (With an appendix by Lawrence C. Washington). (English) Zbl 0854.11055 Math. Comput. 64, No. 212, 1659-1674 (1995). Reviewer: H.Taya (Sendai) MSC: 11R23 11R18 11Y40 PDF BibTeX XML Cite \textit{E. Friedman} and \textit{J. W. Sands}, Math. Comput. 64, No. 212, 1659--1674 (1995; Zbl 0854.11055) Full Text: DOI
Kozuka, Kazuhito On the values of the \(p\)-adic valuation of the generalized Euler numbers. (English) Zbl 0705.11007 Mem. Fac. Sci., Kyushu Univ., Ser. A 43, No. 2, 37-42 (1989). Reviewer: Lawrence C. Washington (College Park) MSC: 11B68 11R18 11S80 PDF BibTeX XML Cite \textit{K. Kozuka}, Mem. Fac. Sci., Kyushu Univ., Ser. A 43, No. 2, 37--42 (1989; Zbl 0705.11007) Full Text: DOI
Sinnott, W. \(\Gamma\)-transforms of rational function measures on \(\mathbb Z_ S\). (English) Zbl 0637.12004 Invent. Math. 89, 139-157 (1987). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R18 11S80 PDF BibTeX XML Cite \textit{W. Sinnott}, Invent. Math. 89, 139--157 (1987; Zbl 0637.12004) Full Text: DOI EuDML
Sinnott, W. On a theorem of L. Washington. (English) Zbl 0616.12004 Journées arithmétiques, Besançon/France 1985, Astérisque 147/148, 209-224 (1987). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11R42 11S40 PDF BibTeX XML
Sinnott, W. On the \(\mu\)-invariant of the \(\Gamma\)-transform of a rational function. (English) Zbl 0531.12004 Invent. Math. 75, 273-282 (1984). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11S40 11S80 11R58 11B39 PDF BibTeX XML Cite \textit{W. Sinnott}, Invent. Math. 75, 273--282 (1984; Zbl 0531.12004) Full Text: DOI EuDML
Stevens, Glenn Arithmetic on modular curves. (English) Zbl 0529.10028 Progress in Mathematics, 20. Boston-Basel-Stuttgart: Birkhäuser. XVII, 214 p. DM 42.00 (1982). MSC: 11F11 11-02 14H25 14-02 14G25 14G20 11R42 11S40 11F33 11F67 PDF BibTeX XML
Rubin, Karl; Wiles, Andrew Mordell-Weil groups of elliptic curves over cyclotomic fields. (English) Zbl 0519.14017 Number theory related to Fermat’s last theorem, Proc. Conf., Prog. Math. 26, 237-254 (1982). MSC: 14G10 14H52 11R18 14G05 14H45 11R11 14G25 14K22 11G15 11R32 PDF BibTeX XML
Friedman, Eduardo C. Ideal class groups in basic \(\mathbb Z_{p_1}\times\dots\times\mathbb Z_{p_s}\)-extensions of abelian number fields. (English) Zbl 0495.12007 Invent. Math. 65, 425-440 (1982). Reviewer: S. Kanemitsu MSC: 11R23 11R18 11R29 PDF BibTeX XML Cite \textit{E. C. Friedman}, Invent. Math. 65, 425--440 (1982; Zbl 0495.12007) Full Text: DOI EuDML
Washington, Lawrence C. Class numbers and cyclotomic \(Z_ p-\)extensions. (English) Zbl 0465.12003 Proc. Queen’s Number Theory Conf. 1979, Queen’s Pap. Pure Appl. Math. 54, 119-127 (1980). MSC: 11R18 11R37 11R23 PDF BibTeX XML